Source Code

These source-code files are part of a reconstructed copy of Luminary 178, the final release of the Apollo 14 Lunar Module (LM) Apollo Guidance Computer (AGC) software.

The reconstruction began with source code of Zerlina 56, Luminary 210, and Luminary 131, previously transcribed from digitized copies of those programs. The code was created by combining the three, using Zerlina 56 as a base, since it was based off of Luminary 183. The differences between the three were carefully merged using the Luminary memos as a guide, with all changes made after Luminary 178 being backed out. The reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021152N. Note that page numbers in the reconstructed code match those for the baseline log section mentioned in each file's changelog; the page numbers for a real Luminary 178 listing would be different.

Comments from the original source code are prefixed with a single '#' symbol, whereas comments added later are prefixed by "##" or "###". Report any errors noted by creating an issue report at the Virtual AGC project's GitHub repository.

048905,000002:                                                                                                  ## Copyright:   Public domain.
048906,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048907,000004:                                                                                                  ## Purpose:     A section of Luminary revision 178.
048908,000005:                                                                                                  ##              It is part of the reconstructed source code for the final
048909,000006:                                                                                                  ##              release of the flight software for the Lunar Module's
048910,000007:                                                                                                  ##              (LM) Apollo Guidance Computer (AGC) for Apollo 14. The
048911,000008:                                                                                                  ##              code has been recreated from copies of Zerlina 56, Luminary
048912,000009:                                                                                                  ##              210, and Luminary 131, as well as many Luminary memos.
048913,000010:                                                                                                  ##              It has been adapted such that the resulting bugger words
048914,000011:                                                                                                  ##              exactly match those specified for Luminary 178 in NASA
048915,000012:                                                                                                  ##              drawing 2021152N, which gives relatively high confidence
048916,000013:                                                                                                  ##              that the reconstruction is correct.
048917,000014:                                                                                                  ## Reference:   pp. 1150-1194
048918,000015:                                                                                                  ## Assembler:   yaYUL
048919,000016:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048920,000017:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048921,000018:                                                                                                  ## Mod history: 2019-08-14 MAS  Created from Zerlina 56.
048922,000019: 

Page 1150

048924,000021:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION                       DATE - 1 SEPTEMBER 1967
048925,000022:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
048926,000023:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
048927,000024: 
048928,000025: 
048929,000026: 
048930,000027:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048931,000028: 
048932,000029:                                                                                                  #       THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048933,000030:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048934,000031:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048935,000032:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048936,000033:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048937,000034:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048938,000035:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048939,000036:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048940,000037:                                                                                                  #  TINES APPROPRIATELY.
048941,000038:                                                                                                  #       DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048942,000039:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048943,000040:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048944,000041: 
048945,000042: 
048946,000043:                                                                                                  #  RESTRICTIONS -
048947,000044: 
048948,000045:                                                                                                  #       THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048949,000046:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048950,000047:                                                                                                  #  TORIES COULD BE HANDLED.
048951,000048:                                                                                                  #       SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048952,000049:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048953,000050:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048954,000051: 

Page 1151

048956,000053:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                                 DATE - 11 OCTOBER 1967
048957,000054:                                                                                                  #  MOD NO. -1                                                                       LOG SECTION - CONIC SUBROUTINES
048958,000055:                                                                                                  #  MOD BY KRAUSE                                                           ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048959,000056:                                                                                                  #  MOD NO. - 2  (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048960,000057: 
048961,000058: 
048962,000059:                                                                                                  #  MOD NO. - 3  (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
048963,000060: 
048964,000061: 
048965,000062:                                                                                                  #  MOD. NO. - 4  (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
048966,000063: 
048967,000064: 
048968,000065:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048969,000066:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048970,000067:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048971,000068:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
048972,000069:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048973,000070:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048974,000071:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048975,000072:                                                                                                  #       IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048976,000073:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048977,000074:                                                                                                  #       IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048978,000075:                                                                                                  #  MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048979,000076: 
048980,000077: 
048981,000078:                                                                                                  #  THE RESTRICTIONS ARE -
048982,000079:                                                                                                  #       1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048983,000080:                                                                                                  #       2.  THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048984,000081:                                                                                                  #  ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048985,000082: 
048986,000083: 
048987,000084:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048988,000085:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048989,000086:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048990,000087: 
048991,000088: 
048992,000089: 
048993,000090:                                                                                                  #  REFERENCES -
048994,000091:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048995,000092:                                                                                                  #  MEMO 67-4.
048996,000093: 
048997,000094: 
048998,000095: 
048999,000096:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049000,000097: 
049001,000098:                                                                                                  #          * SCALE FACTOR *
049002,000099:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049003,000100:                                                                                                  #  --------*--------------*                         -----------------------
049004,000101:                                                                                                  #  RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049005,000102:                                                                                                  #          * +27 FOR MOON *

Page 1152

049007,000104:                                                                                                  #  VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049008,000105:                                                                                                  #          * +5 FOR MOON  *
049009,000106:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049010,000107:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
049011,000108:                                                                                                  #  TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
049012,000109:                                                                                                  #          *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
049013,000110:                                                                                                  #  XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
049014,000111:                                                                                                  #          * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD,VIZ, 2PI SQRT(SEMI-
049015,000112:                                                                                                  #          *              *    MAJOR AXIS),FOR SPEED OF CONVERGENCE,BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
049016,000113:                                                                                                  #          *              *    BY KEPLER TO A POOR BUT VALID GUESS.
049017,000114:                                                                                                  #  TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
049018,000115:                                                                                                  #  XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
049019,000116:                                                                                                  #          * +16 FOR MOON *    ORBITAL PERIOD,VIZ,2PI SQRT(SEMI-MAJOR AXIS)
049020,000117: 
049021,000118: 
049022,000119: 
049023,000120:                                                                                                  #  SUBROUTINES CALLED -
049024,000121:                                                                                                  #       DELTIME
049025,000122: 
049026,000123: 
049027,000124: 
049028,000125:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049029,000126: 
049030,000127:                                                                                                  #  KEPRTN-2 GOTO                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049031,000128:                                                                                                  #  KEPRTN-1        KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
049032,000129:                                                                                                  #  KEPRTN   ...                    CONTINUE
049033,000130: 
049034,000131:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
049035,000132:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
049036,000133:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
049037,000134: 
049038,000135: 
049039,000136: 
049040,000137:                                                                                                  #  ABORT EXIT MODES -
049041,000138:                                                                                                  #       NONE
049042,000139: 
049043,000140: 
049044,000141: 
049045,000142:                                                                                                  #  OUTPUT -
049046,000143: 
049047,000144:                                                                                                  #          * SCALE FACTOR *
049048,000145:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049049,000146:                                                                                                  #  --------*--------------*                         -----------------------
049050,000147:                                                                                                  #  RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
049051,000148:                                                                                                  #          * +27 FOR MOON *
049052,000149:                                                                                                  #  VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
049053,000150:                                                                                                  #          * +5 FOR MOON  *
049054,000151:                                                                                                  #  TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
049055,000152:                                                                                                  #  XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
049056,000153:                                                                                                  #          * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1153

049058,000155:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049059,000156: 
049060,000157: 
049061,000158: 
049062,000159:                                                                                                  #  DEBRIS -
049063,000160: 
049064,000161:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049065,000162: 
049066,000163:                                                                                                  #          * SCALE FACTOR *
049067,000164:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049068,000165:                                                                                                  #  --------*--------------*                         -----------------------
049069,000166:                                                                                                  #  URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
049070,000167:                                                                                                  #  R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
049071,000168:                                                                                                  #          * +27 FOR MOON *
049072,000169:                                                                                                  #  ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
049073,000170:                                                                                                  #          * -20 FOR MOON *
049074,000171:                                                                                                  #  TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN  CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
049075,000172:                                                                                                  #          *              *TAU. OF LESS THAN ONE PERIOD.
049076,000173: 
049077,000174:                                                                                                  #       PARAMETERS OF NO USE -
049078,000175:                                                                                                  #  DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
049079,000176: 
049080,000177: 

Page 1154

049082,000179:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
049083,000180:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
049084,000181:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049085,000182: 
049086,000183: 
049087,000184: 
049088,000185:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049089,000186: 
049090,000187:                                                                                                  #       THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
049091,000188:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
049092,000189:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
049093,000190:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
049094,000191:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
049095,000192:                                                                                                  #  UTILIZED IN THE COMPUTATION.
049096,000193: 
049097,000194: 
049098,000195:                                                                                                  #  THE RESTRICTIONS ARE -
049099,000196:                                                                                                  #       1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
049100,000197:                                                                                                  #       2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
049101,000198:                                                                                                  #       3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049102,000199:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
049103,000200:                                                                                                  #       4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
049104,000201:                                                                                                  #       5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
049105,000202:                                                                                                  #  LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049106,000203:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
049107,000204:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                THE AGC COMPUTATION TIME IS APPROXIMATE-
049108,000205:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
049109,000206: 
049110,000207: 
049111,000208: 
049112,000209:                                                                                                  #  REFERENCES -
049113,000210:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8,
049114,000211:                                                                                                  #  SGA MEMO 67-4.
049115,000212: 
049116,000213: 
049117,000214: 
049118,000215:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049119,000216: 
049120,000217:                                                                                                  #          * SCALE FACTOR *
049121,000218:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049122,000219:                                                                                                  #  --------*--------------*                         -----------------------
049123,000220:                                                                                                  #  R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049124,000221:                                                                                                  #          * +27 FOR MOON *
049125,000222:                                                                                                  #  R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
049126,000223:                                                                                                  #          * +27 FOR MOON *
049127,000224:                                                                                                  #  TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
049128,000225:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049129,000226:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
049130,000227:                                                                                                  #  GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
049131,000228:                                                                                                  #  GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1155

049133,000230:                                                                                                  #          *              *COGA IS TO BE USED BY LAMBERT
049134,000231:                                                                                                  #  COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
049135,000232:                                                                                                  #                         *IGNORED IF GUESSW IS SET.
049136,000233:                                                                                                  #  NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
049137,000234:                                                                                                  #          *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
049138,000235:                                                                                                  #  UN      * +1           *DP UNIT  NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
049139,000236:                                                                                                  #          *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
049140,000237:                                                                                                  #  VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
049141,000238:                                                                                                  #          *              *AT R1VEC.
049142,000239:                                                                                                  #  ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
049143,000240:                                                                                                  #          *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
049144,000241:                                                                                                  #          *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
049145,000242:                                                                                                  #          *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
049146,000243: 
049147,000244: 
049148,000245:                                                                                                  #  SUBROUTINES CALLED -
049149,000246:                                                                                                  #       GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
049150,000247: 
049151,000248: 
049152,000249: 
049153,000250:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049154,000251: 
049155,000252:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049156,000253:                                                                                                  #  L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
049157,000254:                                                                                                  #                                  IN MPAC IF VTARGTAG WAS ZERO
049158,000255:                                                                                                  #  L+2      BON                    CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
049159,000256:                                                                                                  #  L+3             SOLNSW
049160,000257:                                                                                                  #  L+4             LAMABORT
049161,000258:                                                                                                  #       IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
049162,000259:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
049163,000260: 
049164,000261: 
049165,000262: 
049166,000263:                                                                                                  #  ABORT EXIT MODES -
049167,000264:                                                                                                  #       IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
049168,000265:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
049169,000266:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
049170,000267:                                                                                                  #  LAMABORT DLOAD    ABS                   A MEASURE OF PROXIMITY TO 0 OR
049171,000268:                                                                                                  #                    1-CSTH                360 DEGREES.
049172,000269:                                                                                                  #           DSU      BMN
049173,000270:                                                                                                  #                    ONEBIT
049174,000271:                                                                                                  #                    CHANGER2              CHANGE R2VEC DIRECTION SLIGHTLY.
049175,000272:                                                                                                  #           DLOAD    DAD
049176,000273:                                                                                                  #                    TDESIRED
049177,000274:                                                                                                  #                    SOMETIME
049178,000275:                                                                                                  #           STCALL   TDESIRED              INCREASE TDESIRED
049179,000276:                                                                                                  #                    LAMBERT
049180,000277: 
049181,000278: 

Page 1156

049183,000280:                                                                                                  #  OUTPUT -
049184,000281:                                                                                                  #          * SCALE FACTOR *
049185,000282:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049186,000283:                                                                                                  #  --------*--------------*                         -----------------------
049187,000284:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
049188,000285:                                                                                                  #          * +5 FOR MOON  *PROBLEM.
049189,000286:                                                                                                  #  VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
049190,000287:                                                                                                  #          * +5 FOR MOON  *
049191,000288:                                                                                                  #  SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
049192,000289:                                                                                                  #          *              *SOLUTION EXISTS.
049193,000290:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049194,000291: 
049195,000292: 
049196,000293: 
049197,000294:                                                                                                  #  DEBRIS -
049198,000295:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049199,000296: 
049200,000297:                                                                                                  #          * SCALE FACTOR *
049201,000298:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049202,000299:                                                                                                  #  --------*--------------*                         -----------------------
049203,000300:                                                                                                  #  SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
049204,000301:                                                                                                  #  CSTH    * +1           *DP COSINE OF ANGLE
049205,000302:                                                                                                  #  1-CSTH  * +2           *DP 1-CSTH
049206,000303:                                                                                                  #  COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
049207,000304:                                                                                                  #  P       * +4           *DP RATIO  OF SEMILATUS RECTUM TO INITIAL RADIUS
049208,000305:                                                                                                  #  R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
049209,000306:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
049210,000307:                                                                                                  #          * +27 FOR MOON *
049211,000308:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF R1VEC
049212,000309:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF R2VEC
049213,000310: 
049214,000311:                                                                                                  #       PARAMETERS OF NO USE
049215,000312:                                                                                                  #  DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP),  PLUS PUSHLIST REGISTER 0 THROUGH 41D
049216,000313:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
049217,000314: 
049218,000315: 

Page 1157

049220,000317:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                                     DATE - 1 SEPTEMBER 1967
049221,000318:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
049222,000319:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049223,000320: 
049224,000321: 
049225,000322: 
049226,000323:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049227,000324: 
049228,000325:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
049229,000326:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049230,000327:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049231,000328:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049232,000329:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049233,000330:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049234,000331: 
049235,000332: 
049236,000333:                                                                                                  #  THE RESTRICTIONS ARE -
049237,000334:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049238,000335:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
049239,000336:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049240,000337:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049241,000338: 
049242,000339:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
049243,000340: 
049244,000341: 
049245,000342: 
049246,000343:                                                                                                  #  REFERENCES -
049247,000344:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049248,000345: 
049249,000346: 
049250,000347: 
049251,000348:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049252,000349: 
049253,000350:                                                                                                  #          * SCALE FACTOR *
049254,000351:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049255,000352:                                                                                                  #  --------*--------------*                         -----------------------
049256,000353:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049257,000354:                                                                                                  #          * +27 FOR MOON *
049258,000355:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049259,000356:                                                                                                  #          * +5 FOR MOON  *
049260,000357:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
049261,000358:                                                                                                  #  CSTH    * +1           *DP COSINE OF THE ANGLE
049262,000359:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049263,000360:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
049264,000361:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049265,000362:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049266,000363: 
049267,000364: 
049268,000365: 
049269,000366:                                                                                                  #  SUBROUTINES CALLED -

Page 1158

049271,000368:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
049272,000369: 
049273,000370: 
049274,000371: 
049275,000372:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049276,000373: 
049277,000374:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049278,000375:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049279,000376:                                                                                                  #  L+1             RVSW
049280,000377:                                                                                                  #  L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049281,000378:                                                                                                  #  L+3      ...                    CONTINUE
049282,000379: 
049283,000380: 
049284,000381:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049285,000382:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049286,000383:                                                                                                  #  L+1             RVSW
049287,000384:                                                                                                  #  L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049288,000385:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049289,000386:                                                                                                  #  L+3      STOVL  NEWVVEC
049290,000387:                                                                                                  #  L+4      STADR
049291,000388:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049292,000389:                                                                                                  #  L+6      ...                            CONTINUE
049293,000390: 
049294,000391: 
049295,000392: 
049296,000393:                                                                                                  #  ABORT EXIT MODES -
049297,000394:                                                                                                  #           IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049298,000395:                                                                                                  #           AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 AND 721).
049299,000396: 
049300,000397: 
049301,000398: 
049302,000399:                                                                                                  #  OUTPUT -
049303,000400:                                                                                                  #          * SCALE FACTOR *
049304,000401:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049305,000402:                                                                                                  #  --------*--------------*                         -----------------------
049306,000403:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049307,000404:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049308,000405:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049309,000406:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049310,000407:                                                                                                  #          *              *CLEAR IF NOT.
049311,000408: 
049312,000409:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
049313,000410: 
049314,000411:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049315,000412:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049316,000413:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049317,000414:                                                                                                  #          * +27 FOR MOON *
049318,000415: 
049319,000416:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049320,000417: 
049321,000418: 

Page 1159

049323,000420:                                                                                                  #  DEBRIS -
049324,000421: 
049325,000422:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049326,000423: 
049327,000424:                                                                                                  #          * SCALE FACTOR *
049328,000425:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049329,000426:                                                                                                  #  --------*--------------*                         -----------------------
049330,000427:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049331,000428:                                                                                                  #          * +27 FOR MOON *
049332,000429:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049333,000430:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049334,000431:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049335,000432:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049336,000433:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049337,000434:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049338,000435: 
049339,000436: 
049340,000437:                                                                                                  #       PARAMETERS OF NO USE -
049341,000438:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049342,000439:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049343,000440: 
049344,000441: 

Page 1160

049346,000443:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE                            DATE - 11 OCTOBER 1967
049347,000444:                                                                                                  #  MOD NO. -1                                                                      LOG SECTION - CONIC SUBROUTINES
049348,000445:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049349,000446: 
049350,000447: 
049351,000448: 
049352,000449:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049353,000450: 
049354,000451:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049355,000452:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049356,000453:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049357,000454:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049358,000455:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049359,000456:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049360,000457:                                                                                                  #       IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049361,000458:                                                                                                  #  APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049362,000459: 
049363,000460: 
049364,000461:                                                                                                  #  THE RESTRICTIONS ARE -
049365,000462:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049366,000463:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
049367,000464:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049368,000465:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049369,000466:                                                                                                  #       3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049370,000467:                                                                                                  #  RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049371,000468:                                                                                                  #  PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049372,000469: 
049373,000470: 
049374,000471:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049375,000472: 
049376,000473: 
049377,000474: 
049378,000475:                                                                                                  #  REFERENCES -
049379,000476:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049380,000477: 
049381,000478: 
049382,000479: 
049383,000480:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049384,000481: 
049385,000482:                                                                                                  #          * SCALE FACTOR *
049386,000483:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049387,000484:                                                                                                  #  --------*--------------*                         -----------------------
049388,000485:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049389,000486:                                                                                                  #          * +27 FOR MOON *
049390,000487:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049391,000488:                                                                                                  #          * +5 FOR MOON  *
049392,000489:                                                                                                  #  RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049393,000490:                                                                                                  #          * +27 FOR MOON *COMPUTED.
049394,000491:                                                                                                  #  SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049395,000492:                                                                                                  #          *              *POSITIVE OR NEGATIVE, RESPECTIVELY.  THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1161

049397,000494:                                                                                                  #          *              *SINGLE-VALUED PROBLEM.
049398,000495:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049399,000496:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049400,000497:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049401,000498:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
049402,000499: 
049403,000500: 
049404,000501: 
049405,000502:                                                                                                  #  SUBROUTINES CALLED -
049406,000503:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
049407,000504: 
049408,000505: 
049409,000506: 
049410,000507:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049411,000508: 
049412,000509:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049413,000510:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049414,000511:                                                                                                  #  L+1             RVSW
049415,000512:                                                                                                  #  L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049416,000513:                                                                                                  #  L+3      ...                    CONTINUE
049417,000514: 
049418,000515: 
049419,000516:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049420,000517:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049421,000518:                                                                                                  #  L+1             RVSW
049422,000519:                                                                                                  #  L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049423,000520:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049424,000521:                                                                                                  #  L+3      STOVL  NEWVVEC
049425,000522:                                                                                                  #  L+4      STADR
049426,000523:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049427,000524:                                                                                                  #  L+6      ...                            CONTINUE
049428,000525: 
049429,000526: 
049430,000527: 
049431,000528:                                                                                                  #  ABORT EXIT MODES -
049432,000529:                                                                                                  #           IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049433,000530:                                                                                                  #           TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049434,000531: 
049435,000532: 
049436,000533: 
049437,000534:                                                                                                  #  OUTPUT -
049438,000535:                                                                                                  #          * SCALE FACTOR *
049439,000536:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049440,000537:                                                                                                  #  --------*--------------*                         -----------------------
049441,000538:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049442,000539:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049443,000540:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049444,000541:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049445,000542:                                                                                                  #          *              *CLEAR IF NOT.
049446,000543:                                                                                                  #  APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1162

049448,000545:                                                                                                  #          *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049449,000546:                                                                                                  #          *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049450,000547:                                                                                                  #          *              *APOCENTER.
049451,000548:                                                                                                  #  SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049452,000549:                                                                                                  #                         *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049453,000550:                                                                                                  #                         *MINUS-18, THE SWITCH IS CLEAR.
049454,000551: 
049455,000552: 
049456,000553:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
049457,000554: 
049458,000555:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049459,000556:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049460,000557:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049461,000558:                                                                                                  #          * +27 FOR MOON *
049462,000559: 
049463,000560:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049464,000561: 
049465,000562: 
049466,000563: 
049467,000564:                                                                                                  #  DEBRIS -
049468,000565: 
049469,000566:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049470,000567: 
049471,000568:                                                                                                  #          * SCALE FACTOR *
049472,000569:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049473,000570:                                                                                                  #  --------*--------------*                         -----------------------
049474,000571:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049475,000572:                                                                                                  #          * +27 FOR MOON *
049476,000573:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049477,000574:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049478,000575:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049479,000576:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049480,000577:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049481,000578:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049482,000579:                                                                                                  #  CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049483,000580:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
049484,000581: 
049485,000582: 
049486,000583:                                                                                                  #       PARAMETERS OF NO USE -
049487,000584:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049488,000585:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049489,000586: 
049490,000587: 

Page 1163

049492,000589:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
049493,000590:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
049494,000591:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049495,000592: 
049496,000593: 
049497,000594: 
049498,000595:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049499,000596: 
049500,000597:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049501,000598:                                                                                                  #  ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049502,000599:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049503,000600:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049504,000601:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049505,000602: 
049506,000603: 
049507,000604:                                                                                                  #  THE RESTRICTIONS ARE -
049508,000605:                                                                                                  #       1.  IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049509,000606:                                                                                                  #  TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049510,000607:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049511,000608:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049512,000609: 
049513,000610:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049514,000611: 
049515,000612: 
049516,000613: 
049517,000614:                                                                                                  #  REFERENCES -
049518,000615:                                                                                                  #       MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049519,000616: 
049520,000617: 
049521,000618: 
049522,000619:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049523,000620: 
049524,000621:                                                                                                  #          * SCALE FACTOR *
049525,000622:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049526,000623:                                                                                                  #  --------*--------------*                         -----------------------
049527,000624:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049528,000625:                                                                                                  #          * +27 FOR MOON *
049529,000626:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049530,000627:                                                                                                  #          * +5 FOR MOON  *
049531,000628:                                                                                                  #  X1 (38D)*NONE          *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049532,000629:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049533,000630: 
049534,000631: 
049535,000632: 
049536,000633:                                                                                                  #  SUBROUTINES CALLED -
049537,000634:                                                                                                  #       PARAM, GEOM
049538,000635: 
049539,000636: 
049540,000637: 
049541,000638:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1164

049543,000640:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049544,000641:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049545,000642:                                                                                                  #  L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049546,000643:                                                                                                  #  L+2      STODL  APOAPSE
049547,000644:                                                                                                  #  L+3             0D
049548,000645:                                                                                                  #  L+4      STORE  PERIAPSE                APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049549,000646:                                                                                                  #  L+5      ...                    CONTINUE
049550,000647: 
049551,000648: 
049552,000649: 
049553,000650:                                                                                                  #  OUTPUT -
049554,000651:                                                                                                  #          * SCALE FACTOR *
049555,000652:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049556,000653:                                                                                                  #  --------*--------------*                         -----------------------
049557,000654:                                                                                                  #  MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
049558,000655:                                                                                                  #          * +27 FOR MOON *
049559,000656:                                                                                                  #  0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
049560,000657:                                                                                                  #          * +27 FOR MOON *
049561,000658:                                                                                                  #  ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
049562,000659: 
049563,000660:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049564,000661: 
049565,000662: 
049566,000663: 
049567,000664:                                                                                                  #  DEBRIS -
049568,000665: 
049569,000666:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049570,000667: 
049571,000668:                                                                                                  #          * SCALE FACTOR *
049572,000669:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049573,000670:                                                                                                  #  --------*--------------*                         -----------------------
049574,000671:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049575,000672:                                                                                                  #          * +27 FOR MOON *
049576,000673:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049577,000674:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049578,000675:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049579,000676:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049580,000677:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049581,000678:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049582,000679:                                                                                                  #  MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
049583,000680:                                                                                                  #          * +5 FOR MOON  *
049584,000681: 
049585,000682: 
049586,000683:                                                                                                  #       PARAMETERS OF NO USE -
049587,000684:                                                                                                  #  SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5,10D-11D, 14D-21D, 31D-38D.
049588,000685:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049589,000686: 
049590,000687: 
049591,000688: 
049592,000689: 12,2000                                           SETLOC   CONICS                                

Page 1165

049594,000691: 12,2000                                           BANK                                           
049595,000692: 
049596,000693: 12,2023                                           COUNT*   $$/CONIC                              
049597,000694: 12,2023  E5,1721                                  EBANK=   UR1                                   
049598,000695: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049599,000696: 12,2024           00001                                    0                                     
049600,000697: 12,2025           24026                                    +1                                    
049601,000698: 12,2026           77773                           VLOAD*                                         
049602,000699: 12,2027           10005                                    MUTABLE,1                             
049603,000700: 12,2030           24017                           STOVL    14D                                   
049604,000701: 12,2031           01503                                    RRECT                                 
049605,000702: 12,2032           66256                           UNIT     SSP                                   
049606,000703: 12,2033           00027                                    ITERCTR                               
049607,000704: 12,2034           00024                                    20D                                   
049608,000705: 12,2035           16647                           STODL    URRECT                                
049609,000706: 12,2036           00045                                    36D                                   
049610,000707: 12,2037           24041                           STOVL    R1                                    
049611,000708: 12,2040           01503                                    RRECT                                 
049612,000709: 12,2041           76441                           DOT      SL1R                                  
049613,000710: 12,2042           01511                                    VRECT                                 
049614,000711: 12,2043           76405                           DMP      SL1R                                  
049615,000712: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049616,000713: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049617,000714: 
049618,000715: 12,2046           01511                                    VRECT                                 
049619,000716: 12,2047           57236                           VSQ      DMPR                                  
049620,000717: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049621,000718: 12,2051           52405                           DMP      SL3                                   
049622,000719: 12,2052           00041                                    R1                                    
049623,000720: 12,2053           61425                           DSU      ROUND                                 
049624,000721: 12,2054           11007                                    D1/64                                 
049625,000722: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049626,000723: 
049627,000724: 12,2056           74421                           BDSU     SR1R                                  
049628,000725: 12,2057           11007                                    D1/64                                 
049629,000726: 12,2060           77671                           DDV                                            
049630,000727: 12,2061           00041                                    R1                                    
049631,000728: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049632,000729: 
049633,000730: 
049634,000731: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049635,000732: 12,2064           24073                                    1REV                                  
049636,000733: 12,2065           11025                                    -50SC                                 #  -50SC (+12)
049637,000734: 12,2066           40071                           DDV      BOV                                   
049638,000735: 12,2067           00011                                    ALPHA                                 
049639,000736: 12,2070           24077                                    STOREMAX                              
049640,000737: 12,2071           52166                           SQRT     GOTO                                  
049641,000738: 12,2072           24077                                    STOREMAX                              
049642,000739: 
049643,000740: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1166

049645,000742: 12,2074           11027                                    2PISC                                 #  2PISC (+6)
049646,000743: 12,2075           77600                           BOV                                            
049647,000744: 12,2076           24077                                    STOREMAX                              
049648,000745: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049649,000746: 12,2100           65205                           DMP      PDDL                                  
049650,000747: 12,2101           00023                                    1/ROOTMU                              
049651,000748: 12,2102           00011                                    ALPHA                                 
049652,000749: 12,2103           65301                           NORM     PDDL                                  
049653,000750: 12,2104           00047                                    X1                                    
049654,000751: 12,2105           56257                           SL*      DDV                                   
049655,000752: 12,2106           20173                                    0          -6,1                       
049656,000753: 12,2107           50000                           BOV      BMN                                   
049657,000754: 12,2110           24124                                    MODDONE                               
049658,000755: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049659,000756: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049660,000757: 12,2113           02074                                    TAU.                                  
049661,000758: 12,2114           50025                           DSU      BMN                                   
049662,000759: 12,2115           00001                                    0D                                    
049663,000760: 12,2116           24124                                    MODDONE                               
049664,000761: 12,2117           77765                           SIGN                                           
049665,000762: 12,2120           02074                                    TAU.                                  
049666,000763: 12,2121           16074                           STODL    TAU.                                  
049667,000764: 12,2122           77650                           GOTO                                           
049668,000765: 12,2123           24112                                    PERIODCH                              
049669,000766: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049670,000767: 12,2125           00001                                    0                                     
049671,000768: 12,2126           02130                                    XKEPNEW                               
049672,000769: 12,2127           00025                           STORE    X                                     
049673,000770: 12,2130           53165                           SIGN     BZE                                   
049674,000771: 12,2131           02074                                    TAU.                                  
049675,000772: 12,2132           24302                                    BADX                                  
049676,000773: 12,2133           51440                           BMN      ABS                                   
049677,000774: 12,2134           24302                                    BADX                                  
049678,000775: 12,2135           51025                           DSU      BPL                                   
049679,000776: 12,2136           00013                                    XMAX                                  
049680,000777: 12,2137           24302                                    BADX                                  
049681,000778: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049682,000779: 12,2141           02074                                    TAU.                                  
049683,000780: 12,2142           24152                                    STOREMIN                              
049684,000781: 12,2143           57545                           DLOAD    DCOMP                                 
049685,000782: 12,2144           00013                                    XMAX                                  
049686,000783: 12,2145           14015                           STODL    XMIN                                  
049687,000784: 12,2146           24007                                    KEPZERO                               
049688,000785: 12,2147           00013                           STORE    XMAX                                  
049689,000786: 12,2150           77650                           GOTO                                           
049690,000787: 12,2151           24155                                    DXCOMP                                
049691,000788: 12,2152           77745        STOREMIN           DLOAD                                          
049692,000789: 12,2153           24007                                    KEPZERO                               
049693,000790: 12,2154           00015                           STORE    XMIN                                  
049694,000791: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1167

049696,000793: 12,2156           02074                                    TAU.                                  
049697,000794: 12,2157           11020                                    BEE22                                 
049698,000795: 12,2160           77646                           ABS                                            
049699,000796: 12,2161           16177                           STODL    EPSILONT                              
049700,000797: 12,2162           01553                                    XPREV                                 
049701,000798: 12,2163           77621        XDIFF              BDSU                                           
049702,000799: 12,2164           00025                                    X                                     
049703,000800: 12,2165           02643                           STORE    DELX                                  
049704,000801: 
049705,000802: 
049706,000803: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049707,000804: 12,2167           00025                                    X                                     #  X=XKEP
049708,000805: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
049709,000806: 12,2171           00047                                    X1                                    
049710,000807: 12,2172           53605                           DMP      SRR*                                  
049711,000808: 12,2173           00011                                    ALPHA                                 
049712,000809: 12,2174           21573                                    0          -6,1                       
049713,000810: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049714,000811: 12,2176           24421                                    DELTIME                               
049715,000812: 12,2177           44200                           BOV      BDSU                                  
049716,000813: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049717,000814: 12,2201           02074                                    TAU.                                  
049718,000815: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049719,000816: 12,2203           44246                           ABS      BDSU                                  
049720,000817: 12,2204           02177                                    EPSILONT                              
049721,000818: 12,2205           71244                           BPL      DLOAD                                 
049722,000819: 12,2206           24333                                    KEPCONVG                              
049723,000820: 12,2207           00037                                    T                                     
049724,000821: 12,2210           60225                           DSU      NORM                                  
049725,000822: 12,2211           01551                                    TC                                    
049726,000823: 12,2212           00047                                    X1                                    
049727,000824: 12,2213           60325                           PDDL     NORM                                  
049728,000825: 12,2214           02643                                    DELX                                  
049729,000826: 12,2215           00050                                    X2                                    
049730,000827: 12,2216           41260                           XSU,1    DMP                                   
049731,000828: 12,2217           00047                                    X2                                    
049732,000829: 12,2220           02645                                    DELT                                  
049733,000830: 12,2221           56257                           SLR*     DDV                                   
049734,000831: 12,2222           21202                                    1,1                                   
049735,000832: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX                PL AT 2
049736,000833: 12,2224           71244                           BPL      DLOAD                                 
049737,000834: 12,2225           24246                                    POSDELX                               
049738,000835: 12,2226           00025                                    X                                     
049739,000836: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049740,000837: 12,2230           45221                           BDSU     DSU                                   #                               PL AT 0
049741,000838: 12,2231           00015                                    XMIN                                  
049742,000839: 12,2232           51000                           BOV      BPL                                   
049743,000840: 12,2233           24240                                    NDXCHNGE                              
049744,000841: 12,2234           24240                                    NDXCHNGE                              
049745,000842: 12,2235           52145                           DLOAD    GOTO                                  

Page 1168

049747,000844: 12,2236           00001                                    0D                                    
049748,000845: 12,2237           24260                                    NEWDELX                               
049749,000846: 
049750,000847: 
049751,000848: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049752,000849: 12,2241           00015                                    XMIN                                  
049753,000850: 12,2242           00025                                    X                                     
049754,000851: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049755,000852: 12,2244           11023                                    DP9/10                                
049756,000853: 12,2245           24260                                    NEWDELX                               
049757,000854: 
049758,000855: 
049759,000856: 12,2246           77745        POSDELX            DLOAD                                          
049760,000857: 12,2247           00025                                    X                                     
049761,000858: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049762,000859: 12,2251           45221                           BDSU     DSU                                   #                               PL AT 0
049763,000860: 12,2252           00013                                    XMAX                                  
049764,000861: 12,2253           50000                           BOV      BMN                                   
049765,000862: 12,2254           24274                                    PDXCHNGE                              
049766,000863: 12,2255           24274                                    PDXCHNGE                              
049767,000864: 12,2256           77745                           DLOAD                                          
049768,000865: 12,2257           00001                                    0D                                    
049769,000866: 12,2260           02643        NEWDELX            STORE    DELX                                  
049770,000867: 12,2261           43254                           BZE      DAD                                   
049771,000868: 12,2262           24333                                    KEPCONVG                              
049772,000869: 12,2263           00025                                    X                                     
049773,000870: 12,2264           14025                           STODL    X                                     
049774,000871: 12,2265           00037                                    T                                     
049775,000872: 12,2266           01551                           STORE    TC                                    
049776,000873: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049777,000874: 12,2270           24644                                    CHECKCTR                              
049778,000875: 12,2271           24333                                    KEPCONVG                              
049779,000876: 12,2272           77650                           GOTO                                           
049780,000877: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049781,000878: 
049782,000879: 
049783,000880: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049784,000881: 12,2275           00013                                    XMAX                                  
049785,000882: 12,2276           00025                                    X                                     
049786,000883: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049787,000884: 12,2300           11023                                    DP9/10                                
049788,000885: 12,2301           24260                                    NEWDELX                               
049789,000886: 
049790,000887: 
049791,000888: 12,2302           70545        BADX               DLOAD    SR1                                   
049792,000889: 12,2303           00013                                    XMAX                                  
049793,000890: 12,2304           77765                           SIGN                                           
049794,000891: 12,2305           02074                                    TAU.                                  
049795,000892: 12,2306           00025                           STORE    X                                     
049796,000893: 12,2307           77650                           GOTO                                           

Page 1169

049798,000895: 12,2310           24140                                    STORBNDS                              
049799,000896: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049800,000897: 12,2312           00025                                    X                                     
049801,000898: 12,2313           24330                                    NEGTOVFL                              
049802,000899: 12,2314           00013                           STORE    XMAX                                  
049803,000900: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049804,000901: 12,2316           02643                                    DELX                                  
049805,000902: 12,2317           02643                           STORE    DELX                                  
049806,000903: 12,2320           44254                           BZE      BDSU                                  
049807,000904: 12,2321           02112                                    KEPRTN                                
049808,000905: 12,2322           00025                                    X                                     
049809,000906: 12,2323           14025                           STODL    X                                     
049810,000907: 12,2324           01551                                    TC                                    
049811,000908: 12,2325           00037                           STORE    T                                     
049812,000909: 12,2326           77650                           GOTO                                           
049813,000910: 12,2327           24267                                    BRNCHCTR                              
049814,000911: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049815,000912: 12,2331           77650                           GOTO                                           
049816,000913: 12,2332           24315                                    CMNTOVFL                              
049817,000914: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049818,000915: 12,2334           00041                                    R1                                    
049819,000916: 12,2335           74225                           DSU      VXSC                                  
049820,000917: 12,2336           00035                                    XSQC(XI)                              
049821,000918: 12,2337           02647                                    URRECT                                
049822,000919: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049823,000920: 12,2341           00025                                    X                                     
049824,000921: 12,2342           60316                           DSQ      NORM                                  
049825,000922: 12,2343           00047                                    X1                                    
049826,000923: 12,2344           57275                           DMPR     DMPR                                  
049827,000924: 12,2345           00023                                    1/ROOTMU                              
049828,000925: 12,2346           00025                                    X                                     
049829,000926: 12,2347           53605                           DMP      SRR*                                  
049830,000927: 12,2350           00033                                    S(XI)                                 
049831,000928: 12,2351           21572                                    0          -7,1                       
049832,000929: 12,2352           77621                           BDSU                                           
049833,000930: 12,2353           00037                                    T                                     
049834,000931: 12,2354           74352                           SL1      VXSC                                  
049835,000932: 12,2355           01511                                    VRECT                                 
049836,000933: 12,2356           53372                           VSL1     VAD                                   #                               PL AT 0
049837,000934: 12,2357           77712                           VSL4                                           
049838,000935: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049839,000936: 
049840,000937: 
049841,000938: 12,2361           60246                           ABVAL    NORM                                  
049842,000939: 12,2362           00050                                    X2                                    
049843,000940: 12,2363           14043                           STODL    RCNORM                                
049844,000941: 12,2364           00031                                    XI                                    
049845,000942: 12,2365           45275                           DMPR     DSU                                   
049846,000943: 12,2366           00033                                    S(XI)                                 
049847,000944: 12,2367           11005                                    D1/128                                

Page 1170

049849,000946: 12,2370           76405                           DMP      SL1R                                  
049850,000947: 12,2371           00021                                    ROOTMU                                
049851,000948: 12,2372           53605                           DMP      SLR*                                  
049852,000949: 12,2373           00025                                    X                                     
049853,000950: 12,2374           56601                                    0          -3,2                       
049854,000951: 12,2375           74271                           DDV      VXSC                                  
049855,000952: 12,2376           00043                                    RCNORM                                
049856,000953: 12,2377           02647                                    URRECT                                
049857,000954: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049858,000955: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                        PL AT 6
049859,000956: 12,2402           56257                           SLR*     DDV                                   
049860,000957: 12,2403           56602                                    0          -4,2                       
049861,000958: 12,2404           00043                                    RCNORM                                
049862,000959: 12,2405           74221                           BDSU     VXSC                                  
049863,000960: 12,2406           11021                                    D1/256                                
049864,000961: 12,2407           01511                                    VRECT                                 
049865,000962: 12,2410           42455                           VAD      VSL8                                  #                               PL AT 0
049866,000963: 12,2411           77626                           STADR                                          
049867,000964: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049868,000965: 12,2413           00037                                    T                                     
049869,000966: 12,2414           15551                           STODL    TC                                    
049870,000967: 12,2415           00025                                    X                                     
049871,000968: 12,2416           01553                           STORE    XPREV                                 
049872,000969: 12,2417           77650                           GOTO                                           
049873,000970: 12,2420           02112                                    KEPRTN                                
049874,000971: 

Page 1171

049876,000973: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049877,000974: 12,2422           07225                           TC       POLY                                  
049878,000975: 12,2423           00010                           DEC      8          B-14                       
049879,000976: 12,2424           02525 12526                     2DEC     .083333334                            
049880,000977: 
049881,000978: 12,2426           67356 75666                     2DEC     -.266666684                            
049882,000979: 
049883,000980: 12,2430           15001 23771                     2DEC     .406349155                            
049884,000981: 
049885,000982: 12,2432           64342 43674                     2DEC     -.361198675                            
049886,000983: 
049887,000984: 12,2434           06563 04645                     2DEC     .210153242                            
049888,000985: 
049889,000986: 12,2436           75173 52672                     2DEC     -.086221951                            
049890,000987: 
049891,000988: 12,2440           00656 14331                     2DEC     .026268812                            
049892,000989: 
049893,000990: 12,2442           77633 40512                     2DEC     -.006163316                            
049894,000991: 
049895,000992: 12,2444           00023 11210                     2DEC     .001177342                            
049896,000993: 
049897,000994: 12,2446           77774 67506                     2DEC     -.000199055                            
049898,000995: 
049899,000996: 12,2450           06042                           TC       INTPRET                               
049900,000997: 12,2451           14033                           STODL    S(XI)                                 
049901,000998: 12,2452           00031                                    XI                                    
049902,000999: 12,2453           77776                           EXIT                                           
049903,001000: 12,2454           07225                           TC       POLY                                  
049904,001001: 12,2455           00010                           DEC      8          B-14                       
049905,001002: 12,2456           01000 00000                     2DEC     .031250001                            
049906,001003: 
049907,001004: 12,2460           72525 52506                     2DEC     -.166666719                            
049908,001005: 
049909,001006: 12,2462           13301 15337                     2DEC     .355555413                            
049910,001007: 
049911,001008: 12,2464           62776 54733                     2DEC     -.406347410                            
049912,001009: 
049913,001010: 12,2466           11176 13267                     2DEC     .288962094                            
049914,001011: 
049915,001012: 12,2470           73410 51674                     2DEC     -.140117894                            
049916,001013: 
049917,001014: 12,2472           01446 33641                     2DEC     .049247387                            
049918,001015: 
049919,001016: 12,2474           77451 65233                     2DEC     -.013081923                            
049920,001017: 
049921,001018: 12,2476           00055 37266                     2DEC     .002806389                            
049922,001019: 
049923,001020: 12,2500           77767 52336                     2DEC     -.000529414                            
049924,001021: 
049925,001022: 12,2502           06042                           TC       INTPRET                               

Page 1172

049927,001024: 12,2503           53605                           DMP      SRR*                                  #                               PL AT 0
049928,001025: 12,2504           00001                                    0D                                    
049929,001026: 12,2505           21574                                    0          -5,1                       
049930,001027: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049931,001028: 12,2507           72405                           DMP      SL1                                   
049932,001029: 12,2510           00043                                    KEPC1                                 
049933,001030: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049934,001031: 12,2512           21634                                    TPMODE                                #                               PL AT 0,3
049935,001032: 12,2513           53605                           DMP      SRR*                                  
049936,001033: 12,2514           00033                                    S(XI)                                 
049937,001034: 12,2515           21574                                    0          -5,1                       
049938,001035: 12,2516           72405                           DMP      SL1                                   
049939,001036: 12,2517           00045                                    KEPC2                                 
049940,001037: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049941,001038: 12,2521           21634                                    TPMODE                                
049942,001039: 12,2522           00041                                    R1                                    
049943,001040: 12,2523           76261                           SR       TAD                                   #                               PL AT 3
049944,001041: 12,2524           20607                                    6                                     
049945,001042: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049946,001043: 12,2526           00047                                    X1                                    
049947,001044: 12,2527           00025                                    X                                     
049948,001045: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46) PL AT 0
049949,001046: 12,2531           20576                                    0          -3,1                       
049950,001047: 12,2532           57232                           SL4R     DMPR                                  
049951,001048: 12,2533           00023                                    1/ROOTMU                              
049952,001049: 12,2534           00037                           STORE    T                                     
049953,001050: 12,2535           77616                           RVQ                                            
049954,001051: 

Page 1173

049956,001053: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049957,001054: 12,2537           00614                                    SLOPESW                               
049958,001055: 12,2540           24606                                    FIRSTIME                              
049959,001056: 12,2541           00037                                    DEP                                   
049960,001057: 12,2542           60225                           DSU      NORM                                  
049961,001058: 12,2543           02762                                    DEPREV                                
049962,001059: 12,2544           00047                                    X1                                    
049963,001060: 12,2545           60325                           PDDL     NORM                                  
049964,001061: 12,2546           00015                                    DELINDEP                              
049965,001062: 12,2547           00050                                    X2                                    
049966,001063: 12,2550           41260                           XSU,1    DMP                                   
049967,001064: 12,2551           00047                                    X2                                    
049968,001065: 12,2552           02760                                    DELDEP                                
049969,001066: 12,2553           56257                           SLR*     DDV                                   #                               PL UP 2
049970,001067: 12,2554           21202                                    1,1                                   
049971,001068: 12,2555           43142                           SR1      BOFF                                  
049972,001069: 12,2556           04351                                    ORDERSW                               
049973,001070: 12,2557           24562                                    SGNCHECK                              
049974,001071: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049975,001072: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049976,001073: 
049977,001074: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP               PL DOWN 2
049978,001075: 12,2563           24620                                    POSDEL                                
049979,001076: 12,2564           43145                           DLOAD    BON                                   
049980,001077: 12,2565           02766                                    INDEP                                 
049981,001078: 12,2566           04311                                    ORDERSW                               
049982,001079: 12,2567           24571                                    MINCHECK                              
049983,001080: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049984,001081: 
049985,001082: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049986,001083: 12,2572           00011                                    MIN                                   
049987,001084: 12,2573           51000                           BOV      BPL                                   
049988,001085: 12,2574           24600                                    MODNGDEL                              
049989,001086: 12,2575           24600                                    MODNGDEL                              
049990,001087: 12,2576           77650                           GOTO                                           
049991,001088: 12,2577           24632                                    DELOK                                 
049992,001089: 
049993,001090: 
049994,001091: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049995,001092: 12,2601           00011                                    MIN                                   
049996,001093: 12,2602           02766                                    INDEP                                 
049997,001094: 12,2603           52005                           DMP      GOTO                                  
049998,001095: 12,2604           11023                                    DP9/10                                
049999,001096: 12,2605           24634                                    NEWDEL                                
050000,001097: 
050001,001098: 
050002,001099: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
050003,001100: 12,2607           00011                                    MIN                                   
050004,001101: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
050005,001102: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1174

050007,001104: 12,2612           00017                                    MAX                                   
050008,001105: 12,2613           00051                                    TWEEKIT                               
050009,001106: 12,2614           77625                           DSU                                            
050010,001107: 12,2615           52165                           SIGN     GOTO                                  
050011,001108: 12,2616           02760                                    DELDEP                                
050012,001109: 12,2617           24562                                    SGNCHECK                              
050013,001110: 
050014,001111: 
050015,001112: 12,2620           43145        POSDEL             DLOAD    BON                                   
050016,001113: 12,2621           02766                                    INDEP                                 
050017,001114: 12,2622           04311                                    ORDERSW                               
050018,001115: 12,2623           24625                                    MAXCHECK                              
050019,001116: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
050020,001117: 
050021,001118: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
050022,001119: 12,2626           00017                                    MAX                                   
050023,001120: 12,2627           50000                           BOV      BMN                                   
050024,001121: 12,2630           24636                                    MODPSDEL                              
050025,001122: 12,2631           24636                                    MODPSDEL                              
050026,001123: 12,2632           77745        DELOK              DLOAD                                          
050027,001124: 12,2633           00001                                    0D                                    
050028,001125: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
050029,001126: 12,2635           77616                           RVQ                                            
050030,001127: 
050031,001128: 
050032,001129: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
050033,001130: 12,2637           00017                                    MAX                                   
050034,001131: 12,2640           02766                                    INDEP                                 
050035,001132: 12,2641           52005                           DMP      GOTO                                  
050036,001133: 12,2642           11023                                    DP9/10                                
050037,001134: 12,2643           24634                                    NEWDEL                                
050038,001135: 
050039,001136: 
050040,001137: 12,2644           44753        CHECKCTR           CS       ONE                                   
050041,001138: 12,2645           50120                           INDEX    FIXLOC                                
050042,001139: 12,2646           60026                           AD       ITERCTR                               
050043,001140: 12,2647           50120                           INDEX    FIXLOC                                
050044,001141: 12,2650           54026                           TS       ITERCTR                               
050045,001142: 12,2651           54154                           TS       MPAC                                  
050046,001143: 12,2652           06064                           TC       DANZIG                                
050047,001144: 

Page 1175

050049,001146: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
050050,001147: 12,2654           00041                                    R1                                    
050051,001148: 12,2655           74225                           DSU      VXSC                                  
050052,001149: 12,2656           00035                                    XSQC(XI)                              
050053,001150: 12,2657           02722                                    UR1                                   
050054,001151: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
050055,001152: 12,2661           00025                                    X                                     
050056,001153: 12,2662           60316                           DSQ      NORM                                  
050057,001154: 12,2663           00047                                    X1                                    
050058,001155: 12,2664           57275                           DMPR     DMPR                                  
050059,001156: 12,2665           00023                                    1/ROOTMU                              
050060,001157: 12,2666           00025                                    X                                     
050061,001158: 12,2667           53605                           DMP      SRR*                                  
050062,001159: 12,2670           00033                                    S(XI)                                 
050063,001160: 12,2671           21572                                    0          -7,1                       
050064,001161: 12,2672           77621                           BDSU                                           
050065,001162: 12,2673           00037                                    T                                     
050066,001163: 12,2674           74352                           SL1      VXSC                                  
050067,001164: 12,2675           02744                                    VVEC                                  
050068,001165: 12,2676           53372                           VSL1     VAD                                   #                               PL AT 0
050069,001166: 12,2677           41512                           VSL4     PUSH                                  
050070,001167: 12,2700           77646                           ABVAL                                          
050071,001168: 12,2701           77701        LAMENTER           NORM                                           
050072,001169: 12,2702           00047                                    X1                                    
050073,001170: 12,2703           16720                           STODL    R2                                    
050074,001171: 12,2704           00031                                    XI                                    
050075,001172: 12,2705           45205                           DMP      DSU                                   
050076,001173: 12,2706           00033                                    S(XI)                                 
050077,001174: 12,2707           11005                                    D1/128                                
050078,001175: 12,2710           76405                           DMP      SL1R                                  
050079,001176: 12,2711           00021                                    ROOTMU                                
050080,001177: 12,2712           53605                           DMP      SLR*                                  
050081,001178: 12,2713           00025                                    X                                     
050082,001179: 12,2714           21176                                    0          -3,1                       
050083,001180: 12,2715           74271                           DDV      VXSC                                  
050084,001181: 12,2716           02720                                    R2                                    
050085,001182: 12,2717           02722                                    UR1                                   
050086,001183: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)       PL AT 12
050087,001184: 12,2721           00035                                    XSQC(XI)                              
050088,001185: 12,2722           56257                           SLR*     DDV                                   
050089,001186: 12,2723           21175                                    0          -4,1                       
050090,001187: 12,2724           02720                                    R2                                    
050091,001188: 12,2725           77621                           BDSU                                           
050092,001189: 12,2726           11021                                    D1/256                                
050093,001190: 12,2727           53361                           VXSC     VAD                                   
050094,001191: 12,2730           02744                                    VVEC                                  #                               PL AT 6
050095,001192: 12,2731           43412                           VSL8     RVQ                                   
050096,001193: 

Page 1176

050098,001195: 04,2000                                           SETLOC   CONICS1                               
050099,001196: 04,2000                                           BANK                                           
050100,001197: 
050101,001198: 04,3001                                           COUNT*   $$/CONIC                              
050102,001199:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
050103,001200: 04,3001           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
050104,001201: 04,3002           04000 00000  D1/8               2DEC     1.0        B-3                        
050105,001202: 
050106,001203: 04,3004           00200 00000  D1/128             2DEC     1.0        B-7                        
050107,001204: 
050108,001205: 04,3006           00400 00000  D1/64              2DEC     1.0        B-6                        
050109,001206: 
050110,001207: 04,3010           10000 00000  D1/4               2DEC     1.0        B-2                        
050111,001208: 
050112,001209: 04,3012           02000 00000  D1/16              2DEC     1.0        B-4                        
050113,001210: 
050114,001211: 04,3014           01000 00000  D1/32              2DEC     1.0        B-5                        
050115,001212: 
050116,001213: 04,3016           00020 00000  D1/1024            2DEC     1.0        B-10                       
050117,001214: 
050118,001215: 04,3020           00100 00000  D1/256             2DEC     1.0        B-8                        
050119,001216: 
050120,001217: 04,3022           34631 23146  DP9/10             2DEC     .9                                    
050121,001218: 
050122,001219: 04,3024  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
050123,001220: 04,3024           77467 77777  -50SC              2DEC     -50.0      B-12                       
050124,001221: 
050125,001222: 04,3026           03110 17665  2PISC              2DEC     6.28318530 B-6                        
050126,001223: 
050127,001224: 04,3030  04,3013               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
050128,001225: 04,3030  04,3017               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
050129,001226: 04,3030           00000 00001  ONEBIT             2DEC     1.0        B-28                       
050130,001227: 
050131,001228: 04,3032           37767 37737  COGUPLIM           2DEC     .999511597                            
050132,001229: 
050133,001230: 04,3034           40010 40040  COGLOLIM           2DEC     -.999511597                            
050134,001231: 
050135,001232: 

Page 1177

050137,001234: 12,2000                                           SETLOC   CONICS                                
050138,001235: 12,2000                                           BANK                                           
050139,001236: 
050140,001237: 12,2732                                           COUNT*   $$/CONIC                              
050141,001238: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                               PL AT 0
050142,001239: 12,2733           02710                                    RTNTT                                 
050143,001240: 12,2734           00001                                    0                                     
050144,001241: 12,2735           77600                           BOV                                            
050145,001242: 12,2736           24737                                    +1                                    
050146,001243: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL         PL AT 6
050147,001244: 12,2740           02655                                    RVEC                                  
050148,001245: 12,2741           02744                                    VVEC                                  
050149,001246: 12,2742           77624                           CALL                                           
050150,001247: 12,2743           11036                                    PARAM                                 
050151,001248: 12,2744           45000                           BOV      CALL                                  #                               PL AT 0
050152,001249: 12,2745           24764                                    COGAOVFL                              
050153,001250: 12,2746           24767                                    GETX                                  
050154,001251: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
050155,001252: 12,2750           00031                                    XI                                    
050156,001253: 12,2751           04310                                    INFINFLG                              
050157,001254: 12,2752           25752                                    ABTCONIC                              
050158,001255: 12,2753           45014                           CLEAR    CALL                                  
050159,001256: 12,2754           04273                                    COGAFLAG                              
050160,001257: 12,2755           24421                                    DELTIME                               
050161,001258: 12,2756           45014                           BON      CALL                                  
050162,001259: 12,2757           03706                                    RVSW                                  
050163,001260: 12,2760           02710                                    RTNTT                                 
050164,001261: 12,2761           24653                                    NEWSTATE                              
050165,001262: 12,2762           77650                           GOTO                                           
050166,001263: 12,2763           02710                                    RTNTT                                 
050167,001264: 
050168,001265: 
050169,001266: 12,2764           77614        COGAOVFL           SETGO                                          
050170,001267: 12,2765           04033                                    COGAFLAG                              
050171,001268: 12,2766           25752                                    ABTCONIC                              
050172,001269: 04,3036                                           BANK     4                                     
050173,001270: 04,2000                                           SETLOC   CONICS1                               
050174,001271: 04,2000                                           BANK                                           
050175,001272: 04,3036                                           COUNT*   $$/CONIC                              
050176,001273: 04,3036           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC         PL AT 6
050177,001274: 04,3037           02753                                    RTNPRM                                
050178,001275: 04,3040           03665                                    NORMSW                                
050179,001276: 04,3041           77614                           CLEAR                                          
050180,001277: 04,3042           04273                                    COGAFLAG                              
050181,001278: 04,3043           45131                           SSP      CALL                                  
050182,001279: 04,3044           02673                                    GEOMSGN                               
050183,001280: 04,3045           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
050184,001281: 04,3046           11102                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1) PL AT 2
050185,001282: 04,3047           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)           PL AT 0
050186,001283: 04,3050           56261                           SR       DDV                                   

Page 1178

050188,001285: 04,3051           20606                                    5                                     
050189,001286: 
050190,001287: 04,3052           00045                                    36D                                   
050191,001288: 04,3053           32766                           STOVL*   COGA                                  
050192,001289: 04,3054           10005                                    MUTABLE,1                             
050193,001290: 04,3055           14017                           STODL    1/MU                                  
050194,001291: 04,3056           02720                                    MAGVEC2                               
050195,001292: 04,3057           60316                           DSQ      NORM                                  
050196,001293: 04,3060           00047                                    X1                                    
050197,001294: 04,3061           41275                           DMPR     DMP                                   
050198,001295: 04,3062           00017                                    1/MU                                  
050199,001296: 04,3063           00041                                    R1                                    
050200,001297: 04,3064           77657                           SRR*                                           
050201,001298: 04,3065           21576                                    0          -3,1                       
050202,001299: 04,3066           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)           PL AT 2
050203,001300: 04,3067           11015                                    D1/32                                 
050204,001301: 04,3070           16742                           STODL    R1A                                   #  R1A (+6)                     PL AT 0
050205,001302: 
050206,001303: 04,3071           60205                           DMP      NORM                                  
050207,001304: 04,3072           00045                                    36D                                   
050208,001305: 04,3073           00047                                    X1                                    
050209,001306: 04,3074           53605                           DMP      SR*                                   
050210,001307: 04,3075           00045                                    36D                                   
050211,001308: 04,3076           20575                                    0          -4,1                       
050212,001309: 04,3077           02740                           STORE    P                                     #  P (+4)
050213,001310: 04,3100           77650                           GOTO                                           
050214,001311: 04,3101           02753                                    RTNPRM                                
050215,001312: 

Page 1179

050217,001314: 04,3102           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC         PL AT 6
050218,001315: 04,3103           16712                           STODL    U2                                    #  U2 (+1)
050219,001316: 04,3104           00045                                    36D                                   
050220,001317: 04,3105           26720                           STOVL    MAGVEC2                               #                               PL AT 0
050221,001318: 04,3106           77656                           UNIT                                           
050222,001319: 04,3107           02722                           STORE    UR1                                   #  UR1 (+1)
050223,001320: 04,3110           72441                           DOT      SL1                                   
050224,001321: 04,3111           02712                                    U2                                    
050225,001322: 04,3112           77725                           PDDL                                           #  OD=CSTH (+1)                 PL AT 2
050226,001323: 04,3113           00045                                    36D                                   
050227,001324: 04,3114           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
050228,001325: 04,3115           02722                                    UR1                                   
050229,001326: 04,3116           76435                           VXV      VSL1                                  
050230,001327: 04,3117           02712                                    U2                                    
050231,001328: 04,3120           75214                           BON      SIGN                                  
050232,001329: 04,3121           03705                                    NORMSW                                
050233,001330: 04,3122           11134                                    HAVENORM                              
050234,001331: 04,3123           02673                                    GEOMSGN                               
050235,001332: 04,3124           40056                           UNIT     BOV                                   
050236,001333: 04,3125           11132                                    COLINEAR                              
050237,001334: 04,3126           16674        UNITNORM           STODL    UN                                    #  UN (+1)
050238,001335: 04,3127           00045                                    36D                                   
050239,001336: 04,3130           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050240,001337: 04,3131           02673                                    GEOMSGN                               
050241,001338: 
050242,001339: 
050243,001340: 04,3132           52162        COLINEAR           VSR1     GOTO                                  
050244,001341: 04,3133           11126                                    UNITNORM                              
050245,001342: 
050246,001343: 
050247,001344: 04,3134           75246        HAVENORM           ABVAL    SIGN                                  
050248,001345: 04,3135           02673                                    GEOMSGN                               
050249,001346: 04,3136           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
050250,001347: 

Page 1180

050252,001349: 12,2767                                           BANK     12                                    
050253,001350: 12,2000                                           SETLOC   CONICS                                
050254,001351: 12,2000                                           BANK                                           
050255,001352: 
050256,001353: 12,2767                                           COUNT*   $$/CONIC                              
050257,001354: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
050258,001355: 12,2770           00003                                    3                                     
050259,001356: 12,2771           00052                                    S2                                    
050260,001357: 12,2772           00001                                    1                                     
050261,001358: 12,2773           77614                           CLEAR                                          
050262,001359: 12,2774           04276                                    360SW                                 
050263,001360: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                       PL AT 2
050264,001361: 12,2776           02732                                    CSTH                                  
050265,001362: 12,2777           44342                           SR1      BDSU                                  
050266,001363: 12,3000           11011                                    D1/4                                  
050267,001364: 12,3001           54325                           PDDL     SRR                                   #                               PL AT 4D
050268,001365: 12,3002           02730                                    SNTH                                  
050269,001366: 12,3003           21607                                    6                                     
050270,001367: 12,3004           77671                           DDV                                            #                               PL AT 2
050271,001368: 12,3005           77600                           BOV                                            
050272,001369: 12,3006           25122                                    360CHECK                              
050273,001370: 12,3007           41225                           DSU      DMP                                   
050274,001371: 12,3010           02766                                    COGA                                  #                                   PL AT 0
050275,001372: 12,3011           40132                           SL2R     BOV                                   
050276,001373: 12,3012           25122                                    360CHECK                              
050277,001374: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                        PL AT 2
050278,001375: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                     PL AT 5
050279,001376: 12,3015           00155                                    MPAC                                  
050280,001377: 12,3016           02742                                    R1A                                   
050281,001378: 12,3017           76202                           SR4      TAD                                   #                               PL AT 2
050282,001379: 12,3020           75440                           BMN      SQRT                                  
050283,001380: 12,3021           25205                                    INFINITY                              
050284,001381: 12,3022           43306                           ROUND    DAD                                   #                               PL AT 0D
050285,001382: 12,3023           61000                           BOV      TIX,2                                 
050286,001383: 12,3024           25120                                    RESETX2                               
050287,001384: 12,3025           25013                                    WLOOP                                 
050288,001385: 
050289,001386: 
050290,001387: 12,3026           40065                           BDDV     BOV                                   
050291,001388: 12,3027           11005                                    D1/128                                
050292,001389: 12,3030           25205                                    INFINITY                              
050293,001390: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)     PL AT 2
050294,001391: 12,3032           25205                                    INFINITY                              
050295,001392: 12,3033           77716                           DSQ                                            
050296,001393: 12,3034           41301                           NORM     DMP                                   
050297,001394: 12,3035           00047                                    X1                                    
050298,001395: 12,3036           02742                                    R1A                                   
050299,001396: 12,3037           77457                           SRR*     EXIT                                  
050300,001397: 12,3040           21567                                    0          -10D,1                     
050301,001398: 12,3041           07225                           TC       POLY                                  

Page 1181

050303,001400: 12,3042           00005                           DEC      5          B-14                       
050304,001401: 12,3043           20000 00000                     2DEC     .5                                    
050305,001402: 
050306,001403: 12,3045           72525 52471                     2DEC     -.166666770                            
050307,001404: 
050308,001405: 12,3047           03146 15003                     2DEC     .100000392                            
050309,001406: 
050310,001407: 12,3051           75556 45210                     2DEC     -.071401086                            
050311,001408: 
050312,001409: 12,3053           01615 13553                     2DEC     .055503292                            
050313,001410: 
050314,001411: 12,3055           76371 63777                     2DEC     -.047264098                            
050315,001412: 
050316,001413: 12,3057           01232 27367                     2DEC     .040694204                            
050317,001414: 
050318,001415: 12,3061           06042                           TC       INTPRET                               
050319,001416: 12,3062           76405                           DMP      SL1R                                  #                               PL AT 0D
050320,001417: 12,3063           43006                           PUSH     BON                                   
050321,001418: 12,3064           04316                                    360SW                                 
050322,001419: 12,3065           25172                                    TRUE360X                              
050323,001420: 12,3066           60316        XCOMMON            DSQ      NORM                                  
050324,001421: 12,3067           00047                                    X1                                    
050325,001422: 12,3070           53605                           DMP      SRR*                                  
050326,001423: 12,3071           02742                                    R1A                                   
050327,001424: 12,3072           21565                                    0          -12D,1                     
050328,001425: 12,3073           14031                           STODL    XI                                    #  XI (+6)
050329,001426: 
050330,001427: 
050331,001428: 12,3074           00041                                    R1                                    
050332,001429: 12,3075           75542                           SR1      SQRT                                  
050333,001430: 12,3076           41306                           ROUND    DMP                                   
050334,001431: 12,3077           77632                           SL4R                                           #                               PL AT 0
050335,001432: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
050336,001433: 
050337,001434: 
050338,001435: 
050339,001436: 12,3101           60316                           DSQ      NORM                                  
050340,001437: 12,3102           00047                                    X1                                    
050341,001438: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
050342,001439: 12,3104           02740                                    P                                     
050343,001440: 12,3105           00041                                    R1                                    
050344,001441: 12,3106           75452                           SL3      SQRT                                  
050345,001442: 12,3107           56405                           DMP      SL3R                                  
050346,001443: 12,3110           02766                                    COGA                                  
050347,001444: 12,3111           14043                           STODL    KEPC1                                 
050348,001445: 12,3112           02742                                    R1A                                   
050349,001446: 12,3113           43021                           BDSU     CLEAR                                 
050350,001447: 12,3114           11007                                    D1/64                                 
050351,001448: 12,3115           04270                                    INFINFLG                              
050352,001449: 12,3116           00045                           STORE    KEPC2                                 
050353,001450: 12,3117           77616                           RVQ                                            
050354,001451: 

Page 1182

050356,001453: 12,3120           77774        RESETX2            AXT,2                                          
050357,001454: 12,3121           00003                                    3                                     
050358,001455: 
050359,001456: 12,3122           51001        360CHECK           SETPD    BPL                                   
050360,001457: 12,3123           00001                                    0D                                    
050361,001458: 12,3124           25127                                    INVRSEQN                              
050362,001459: 12,3125           77614                           SET                                            
050363,001460: 12,3126           04076                                    360SW                                 
050364,001461: 
050365,001462: 
050366,001463: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
050367,001464: 12,3130           02740                                    P                                     
050368,001465: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)                  PL AT 2
050369,001466: 12,3132           02730                                    SNTH                                  
050370,001467: 12,3133           02766                                    COGA                                  
050371,001468: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)                PL AT 4
050372,001469: 12,3135           02732                                    CSTH                                  
050373,001470: 12,3136           43202                           SR4      DAD                                   
050374,001471: 12,3137           11015                                    D1/32                                 
050375,001472: 12,3140           41225                           DSU      DMP                                   #                               PL AT 2,0
050376,001473: 12,3141           55301                           NORM     BDDV                                  
050377,001474: 12,3142           00047                                    X1                                    
050378,001475: 12,3143           02730                                    SNTH                                  
050379,001476: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
050380,001477: 12,3145           21174                                    0          -5,1                       
050381,001478: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                  PL AT 2
050382,001479: 12,3147           14043                           STODL    34D                                   
050383,001480: 12,3150           11013                                    D1/16                                 
050384,001481: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                        PL AT 4
050385,001482: 12,3152           65234                           RTB      PDDL                                  #                               PL AT 7
050386,001483: 12,3153           21634                                    TPMODE                                
050387,001484: 12,3154           02742                                    R1A                                   
050388,001485: 12,3155           40405                           DMP      SR4                                   
050389,001486: 12,3156           00043                                    34D                                   
050390,001487: 12,3157           77771                           TAD                                            #                                   PL AT 4
050391,001488: 12,3160           75440                           BMN      SQRT                                  
050392,001489: 12,3161           25205                                    INFINITY                              
050393,001490: 12,3162           77615                           DAD                                            #                               PL AT 2
050394,001491: 12,3163           60304                           TIX,2    NORM                                  
050395,001492: 12,3164           25151                                    1/WLOOP                               
050396,001493: 12,3165           00047                                    X1                                    
050397,001494: 12,3166           77665                           BDDV                                           #                                   PL AT 0
050398,001495: 12,3167           52057                           SLR*     GOTO                                  
050399,001496: 12,3170           21172                                    0          -7,1                       
050400,001497: 12,3171           25031                                    POLYCOEF                              
050401,001498: 
050402,001499: 
050403,001500: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050404,001501: 12,3173           02742                                    R1A                                   

Page 1183

050406,001503: 12,3174           25205                                    INFINITY                              
050407,001504: 12,3175           60366                           SQRT     NORM                                  
050408,001505: 12,3176           00047                                    X1                                    
050409,001506: 12,3177           53665                           BDDV     SL*                                   
050410,001507: 12,3200           11027                                    2PISC                                 
050411,001508: 12,3201           20176                                    0          -3,1                       
050412,001509: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X          PL AT 0,2
050413,001510: 12,3203           77650                           GOTO                                           
050414,001511: 12,3204           25066                                    XCOMMON                               
050415,001512: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050416,001513: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050417,001514: 12,3207           25210                                    OVFLCLR                               
050418,001515: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050419,001516: 12,3211           04070                                    INFINFLG                              
050420,001517: 

Page 1184

050422,001519: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050423,001520: 12,3213           02710                                    RTNLAMB                               
050424,001521: 12,3214           00001                                    0D                                    
050425,001522: 12,3215           77600                           BOV                                            
050426,001523: 12,3216           25217                                    +1                                    
050427,001524: 12,3217           76614                           CLEAR    VLOAD*                                
050428,001525: 12,3220           02674                                    SOLNSW                                
050429,001526: 12,3221           10005                                    MUTABLE,1                             
050430,001527: 12,3222           14017                           STODL    1/MU                                  
050431,001528: 12,3223           02671                                    TDESIRED                              
050432,001529: 12,3224           77675                           DMPR                                           
050433,001530: 12,3225           11014                                    BEE19                                 
050434,001531: 12,3226           02764                           STORE    EPSILONL                              
050435,001532: 12,3227           77214                           SET      VLOAD                                 
050436,001533: 12,3230           00474                                    SLOPESW                               
050437,001534: 12,3231           02655                                    R1VEC                                 
050438,001535: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)        PL AT 6
050439,001536: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050440,001537: 12,3234           11102                                    GEOM                                  
050441,001538: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                 PL AT 2
050442,001539: 12,3236           02720                                    MAGVEC2                               
050443,001540: 12,3237           65301                           NORM     PDDL                                  #                               PL AT 4
050444,001541: 12,3240           00047                                    X1                                    
050445,001542: 12,3241           00041                                    R1                                    
050446,001543: 12,3242           56342                           SR1      DDV                                   #                               PL AT 2
050447,001544: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)  PL AT 0,2
050448,001545: 12,3244           20173                                    0          -6,1                       
050449,001546: 12,3245           77626                           STADR                                          
050450,001547: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050451,001548: 12,3247           44342                           SR1      BDSU                                  
050452,001549: 12,3250           11011                                    D1/4                                  
050453,001550: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050454,001551: 
050455,001552: 12,3252           53106                           ROUND    BZE                                   
050456,001553: 12,3253           25473                                    360LAMB                               
050457,001554: 12,3254           65301                           NORM     PDDL                                  #                               PL AT 4
050458,001555: 12,3255           00047                                    X1                                    
050459,001556: 12,3256           00001                                    0D                                    
050460,001557: 12,3257           56342                           SR1      DDV                                   #                               PL AT 2
050461,001558: 12,3260           75457                           SL*      SQRT                                  
050462,001559: 12,3261           20176                                    0          -3,1                       
050463,001560: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5) PL AT 4
050464,001561: 12,3263           02730                                    SNTH                                  
050465,001562: 12,3264           20607                                    6                                     
050466,001563: 12,3265           43271                           DDV      DAD                                   #                               PL AT 2
050467,001564: 12,3266           02734                                    1-CSTH                                
050468,001565: 12,3267           77626                           STADR                                          
050469,001566: 12,3270           77760                           STORE    COGAMAX                               
050470,001567: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050471,001568: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1185

050473,001570: 12,3273           25302                                    MAXCOGA                               #    THIS WOULD BE RESET IN LAMBLOOP
050474,001571: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050475,001572: 12,3275           11033                                    COGUPLIM                              
050476,001573: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050477,001574: 12,3277           77745        UPLIM              DLOAD                                          
050478,001575: 12,3300           11033                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050479,001576: 12,3301           00017                           STORE    COGAMAX                               #    NOT CAUSING OVFL IN R1A CALCULATION
050480,001577: 12,3302           77745        MAXCOGA            DLOAD                                          
050481,001578: 12,3303           02732                                    CSTH                                  
050482,001579: 12,3304           45261                           SR       DSU                                   #                               PL AT 0
050483,001580: 12,3305           20607                                    6                                     
050484,001581: 12,3306           77626                           STADR                                          
050485,001582: 12,3307           61041                           STODL    CSTH-RHO                              
050486,001583: 12,3310           02673                                    GEOMSGN                               
050487,001584: 12,3311           71240                           BMN      DLOAD                                 
050488,001585: 12,3312           25513                                    LOLIM                                 
050489,001586: 12,3313           02736                                    CSTH-RHO                              
050490,001587: 12,3314           56352                           SL1      DDV                                   
050491,001588: 12,3315           02730                                    SNTH                                  
050492,001589: 12,3316           77600                           BOV                                            
050493,001590: 12,3317           25513                                    LOLIM                                 
050494,001591: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050495,001592: 12,3321           66214                           BON      SSP                                   
050496,001593: 12,3322           00715                                    GUESSW                                
050497,001594: 12,3323           25477                                    NOGUESS                               
050498,001595: 12,3324           00051                                    TWEEKIT                               
050499,001596: 12,3325           00001                                    00001                                 
050500,001597: 12,3326           77745                           DLOAD                                          
050501,001598: 12,3327           02766                                    COGA                                  
050502,001599: 
050503,001600: 
050504,001601: 12,3330           77605        LAMBLOOP           DMP                                            
050505,001602: 12,3331           02730                                    SNTH                                  
050506,001603: 12,3332           45342                           SR1      DSU                                   
050507,001604: 12,3333           02736                                    CSTH-RHO                              
050508,001605: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050509,001606: 12,3335           00047                                    X1                                    
050510,001607: 12,3336           02734                                    1-CSTH                                
050511,001608: 12,3337           56257                           SL*      DDV                                   #  1-CSTH  (+2)                 PL AT 0
050512,001609: 12,3340           20170                                    0          -9D,1                      
050513,001610: 12,3341           53040                           BMN      BZE                                   
050514,001611: 12,3342           25427                                    NEGP                                  
050515,001612: 12,3343           25427                                    NEGP                                  
050516,001613: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050517,001614: 12,3345           02766                                    COGA                                  
050518,001615: 12,3346           43316                           DSQ      DAD                                   
050519,001616: 12,3347           11017                                    D1/1024                               
050520,001617: 12,3350           41301                           NORM     DMP                                   
050521,001618: 12,3351           00047                                    X1                                    
050522,001619: 12,3352           02740                                    P                                     

Page 1186

050524,001621: 12,3353           44257                           SR*      BDSU                                  
050525,001622: 12,3354           20571                                    0          -8D,1                      
050526,001623: 12,3355           11015                                    D1/32                                 
050527,001624: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050528,001625: 
050529,001626: 12,3357           02740                                    P                                     
050530,001627: 12,3360           45000                           BOV      CALL                                  
050531,001628: 12,3361           25432                                    HIENERGY                              
050532,001629: 12,3362           24767                                    GETX                                  
050533,001630: 12,3363           77745                           DLOAD                                          
050534,001631: 12,3364           00037                                    T                                     
050535,001632: 12,3365           16762                           STODL    TPREV                                 
050536,001633: 12,3366           00031                                    XI                                    
050537,001634: 12,3367           45014                           BON      CALL                                  
050538,001635: 12,3370           04310                                    INFINFLG                              
050539,001636: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050540,001637: 12,3372           24421                                    DELTIME                               
050541,001638: 12,3373           44200                           BOV      BDSU                                  
050542,001639: 12,3374           25447                                    BIGTIME                               
050543,001640: 12,3375           02671                                    TDESIRED                              
050544,001641: 12,3376           02760                           STORE    TERRLAMB                              
050545,001642: 12,3377           44246                           ABS      BDSU                                  
050546,001643: 12,3400           02764                                    EPSILONL                              
050547,001644: 12,3401           47044                           BPL      RTB                                   
050548,001645: 12,3402           25516                                    INITV                                 
050549,001646: 12,3403           24644                                    CHECKCTR                              
050550,001647: 12,3404           43030                           BHIZ     BON                                   
050551,001648: 12,3405           25460                                    SUFFCHEK                              
050552,001649: 12,3406           00714                                    SLOPESW                               
050553,001650: 12,3407           25415                                    GOITER                                
050554,001651: 12,3410           45345                           DLOAD    DSU                                   
050555,001652: 12,3411           00037                                    T                                     
050556,001653: 12,3412           02762                                    TPREV                                 
050557,001654: 12,3413           77654                           BZE                                            
050558,001655: 12,3414           25460                                    SUFFCHEK                              
050559,001656: 12,3415           77624        GOITER             CALL                                           
050560,001657: 12,3416           24536                                    ITERATOR                              
050561,001658: 12,3417           53145                           DLOAD    BZE                                   
050562,001659: 12,3420           00155                                    MPAC                                  
050563,001660: 12,3421           25460                                    SUFFCHEK                              
050564,001661: 12,3422           77615                           DAD                                            
050565,001662: 12,3423           02766                                    COGA                                  
050566,001663: 12,3424           02766                           STORE    COGA                                  
050567,001664: 12,3425           77650                           GOTO                                           
050568,001665: 12,3426           25330                                    LAMBLOOP                              
050569,001666: 
050570,001667: 
050571,001668: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050572,001669: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
050573,001670: 12,3431           25452                                    LOENERGY                              
050574,001671: 

Page 1187

050576,001673: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050577,001674: 12,3433           00001                                    0                                     
050578,001675: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050579,001676: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050580,001677: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
050581,001678: 12,3437           00015                                    DCOGA                                 
050582,001679: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050583,001680: 12,3441           44254                           BZE      BDSU                                  
050584,001681: 12,3442           25460                                    SUFFCHEK                              
050585,001682: 12,3443           02766                                    COGA                                  
050586,001683: 12,3444           02766                           STORE    COGA                                  
050587,001684: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
050588,001685: 12,3446           25330                                    LAMBLOOP                              
050589,001686: 
050590,001687: 
050591,001688: 12,3447           77745        BIGTIME            DLOAD                                          
050592,001689: 12,3450           02762                                    TPREV                                 
050593,001690: 12,3451           00037                           STORE    T                                     
050594,001691: 
050595,001692: 
050596,001693: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050597,001694: 12,3453           00001                                    0                                     
050598,001695: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050599,001696: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050600,001697: 12,3456           77650                           GOTO                                           
050601,001698: 12,3457           25436                                    COMMONLM                              
050602,001699: 
050603,001700: 
050604,001701: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
050605,001702: 12,3461           02760                                    TERRLAMB                              
050606,001703: 12,3462           41325                           PDDL     DMP                                   #                               PL AT 2D
050607,001704: 12,3463           02671                                    TDESIRED                              
050608,001705: 12,3464           11002                                    BEE17                                 
050609,001706: 12,3465           45215                           DAD      DSU                                   #                               PL AT 0D
050610,001707: 12,3466           11031                                    ONEBIT                                
050611,001708: 12,3467           43044                           BPL      SETGO                                 
050612,001709: 12,3470           25516                                    INITV                                 
050613,001710: 12,3471           02434                                    SOLNSW                                
050614,001711: 12,3472           25516                                    INITV                                 
050615,001712: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050616,001713: 12,3474           00001                                    0                                     
050617,001714: 12,3475           02434                                    SOLNSW                                
050618,001715: 12,3476           02710                                    RTNLAMB                               
050619,001716: 
050620,001717: 
050621,001718: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
050622,001719: 12,3500           00051                                    TWEEKIT                               
050623,001720: 12,3501           10000                                    20000                                 
050624,001721: 12,3502           00011                                    COGAMIN                               #                               PL AT 2
050625,001722: 12,3503           65342                           SR1      PDDL                                  

Page 1188

050627,001724: 12,3504           00017                                    COGAMAX                               
050628,001725: 12,3505           43342                           SR1      DAD                                   
050629,001726: 12,3506           77626                           STADR                                          #                               PL AT 0
050630,001727: 12,3507           75011                           STORE    COGA                                  
050631,001728: 12,3510           00015                           STORE    DCOGA                                 
050632,001729: 12,3511           77650                           GOTO                                           
050633,001730: 12,3512           25330                                    LAMBLOOP                              
050634,001731: 
050635,001732: 
050636,001733: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
050637,001734: 12,3514           11035                                    COGLOLIM                              #  COGLOLIM=-.999511597
050638,001735: 12,3515           25320                                    MINCOGA                               
050639,001736: 
050640,001737: 
050641,001738: 12,3516           60345        INITV              DLOAD    NORM                                  
050642,001739: 12,3517           00041                                    R1                                    
050643,001740: 12,3520           00047                                    X1                                    
050644,001741: 12,3521           70525                           PDDL     SR1                                   #                               PL AT 2
050645,001742: 12,3522           02740                                    P                                     
050646,001743: 12,3523           77671                           DDV                                            #                               PL AT 0
050647,001744: 12,3524           75457                           SL*      SQRT                                  
050648,001745: 12,3525           20175                                    0          -4,1                       
050649,001746: 12,3526           72405                           DMP      SL1                                   
050650,001747: 12,3527           00021                                    ROOTMU                                
050651,001748: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                 PL AT 2
050652,001749: 12,3531           02766                                    COGA                                  
050653,001750: 12,3532           74261                           SL       VXSC                                  
050654,001751: 12,3533           20206                                    5                                     
050655,001752: 12,3534           02722                                    UR1                                   
050656,001753: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                  PL AT 0,6
050657,001754: 12,3536           76561                           VXSC     VSL1                                  
050658,001755: 12,3537           02674                                    UN                                    
050659,001756: 12,3540           53235                           VXV      VAD                                   #                               PL AT 0
050660,001757: 12,3541           02722                                    UR1                                   
050661,001758: 12,3542           77772                           VSL1                                           
050662,001759: 12,3543           02744                           STORE    VVEC                                  
050663,001760: 12,3544           53135                           SLOAD    BZE                                   
050664,001761: 12,3545           02702                                    VTARGTAG                              
050665,001762: 12,3546           25551                                    TARGETV                               
050666,001763: 12,3547           77650                           GOTO                                           
050667,001764: 12,3550           02710                                    RTNLAMB                               
050668,001765: 
050669,001766: 
050670,001767: 12,3551           45145        TARGETV            DLOAD    CALL                                  
050671,001768: 12,3552           02720                                    MAGVEC2                               
050672,001769: 12,3553           24701                                    LAMENTER                              
050673,001770: 12,3554           02703                           STORE    VTARGET                               
050674,001771: 12,3555           77650                           GOTO                                           
050675,001772: 12,3556           02710                                    RTNLAMB                               
050676,001773: 

Page 1189

050678,001775: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                  PL AT 0
050679,001776: 12,3560           02710                                    RTNTR                                 
050680,001777: 12,3561           00001                                    0                                     
050681,001778: 12,3562           77600                           BOV                                            
050682,001779: 12,3563           25564                                    +1                                    
050683,001780: 12,3564           63375                           VLOAD    PDVL                                  #                                  PL AT 6
050684,001781: 12,3565           02655                                    RVEC                                  
050685,001782: 12,3566           02744                                    VVEC                                  
050686,001783: 12,3567           77624                           CALL                                           
050687,001784: 12,3570           11036                                    PARAM                                 
050688,001785: 12,3571           71200                           BOV      DLOAD                                 #                                  PL AT 0
050689,001786: 12,3572           24764                                    COGAOVFL                              
050690,001787: 12,3573           11015                                    D1/32                                 
050691,001788: 12,3574           41225                           DSU      DMP                                   
050692,001789: 12,3575           02742                                    R1A                                   
050693,001790: 12,3576           02740                                    P                                     
050694,001791: 12,3577           41366                           SQRT     DMP                                   
050695,001792: 12,3600           02766                                    COGA                                  
050696,001793: 12,3601           74212                           SL4      VXSC                                  
050697,001794: 12,3602           02712                                    U2                                    
050698,001795: 12,3603           45325                           PDDL     DSU                                   #                                  PL AT 6
050699,001796: 12,3604           11007                                    D1/64                                 
050700,001797: 12,3605           02742                                    R1A                                   
050701,001798: 12,3606           52361                           VXSC     VSU                                   #                                  PL AT 0
050702,001799: 12,3607           02722                                    UR1                                   
050703,001800: 12,3610           53512                           VSL4     UNIT                                  
050704,001801: 12,3611           77600                           BOV                                            
050705,001802: 12,3612           25670                                    CIRCULAR                              
050706,001803: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)               PL AT 6
050707,001804: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
050708,001805: 12,3615           00047                                    X1                                    
050709,001806: 12,3616           41325                           PDDL     DMP                                   #                               PL AT 8
050710,001807: 12,3617           00041                                    R1                                    
050711,001808: 12,3620           02740                                    P                                     
050712,001809: 12,3621           56257                           SL*      DDV                                   #                               PL AT 6
050713,001810: 12,3622           20201                                    0,1                                   
050714,001811: 12,3623           56225                           DSU      DDV                                   
050715,001812: 12,3624           11013                                    D1/16                                 
050716,001813: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
050717,001814: 12,3626           00031                           STORE    COSF                                  
050718,001815: 12,3627           63400                           BOV      DSQ                                   
050719,001816: 12,3630           25674                                    BADR2                                 
050720,001817: 12,3631           50021                           BDSU     BMN                                   
050721,001818: 12,3632           11011                                    D1/4                                  
050722,001819: 12,3633           25674                                    BADR2                                 
050723,001820: 12,3634           75366                           SQRT     SIGN                                  
050724,001821: 12,3635           02755                                    SGNRDOT                               
050725,001822: 12,3636           77614                           CLEAR                                          
050726,001823: 12,3637           04272                                    APSESW                                

Page 1190

050728,001825: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
050729,001826: 12,3641           02674                                    UN                                    
050730,001827: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D                 PL AT 0,6
050731,001828: 12,3643           00001                                    0D                                    
050732,001829: 12,3644           53361                           VXSC     VAD                                   #                               PL AT 0
050733,001830: 12,3645           00031                                    COSF                                  
050734,001831: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                        PL AT 6
050735,001832: 
050736,001833: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050737,001834: 12,3650           02722                                    UR1                                   
050738,001835: 12,3651           25766                                    DP1/4                                 
050739,001836: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050740,001837: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
050741,001838: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
050742,001839: 12,3655           02722                                    UR1                                   
050743,001840: 12,3656           76435                           VXV      VSL1                                  
050744,001841: 12,3657           72441                           DOT      SL1                                   
050745,001842: 12,3660           02674                                    UN                                    
050746,001843: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
050747,001844: 12,3662           02740                                    P                                     
050748,001845: 12,3663           77624                           CALL                                           
050749,001846: 12,3664           24767                                    GETX                                  
050750,001847: 12,3665           77614                           CLRGO                                          
050751,001848: 12,3666           02634                                    SOLNSW                                
050752,001849: 12,3667           24747                                    COMMNOUT                              
050753,001850: 
050754,001851: 
050755,001852: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
050756,001853: 12,3671           00001                                    0                                     
050757,001854: 12,3672           02434                                    SOLNSW                                
050758,001855: 12,3673           25752                                    ABTCONIC                              
050759,001856: 
050760,001857: 
050761,001858: 12,3674           75345        BADR2              DLOAD    SIGN                                  
050762,001859: 12,3675           24005                                    LODPHALF                              
050763,001860: 12,3676           00031                                    COSF                                  
050764,001861: 12,3677           14031                           STODL    COSF                                  
050765,001862: 12,3700           24007                                    KEPZERO                               
050766,001863: 12,3701           77614                           SETGO                                          
050767,001864: 12,3702           04032                                    APSESW                                
050768,001865: 12,3703           25640                                    TERMNVEC                              
050769,001866: 

Page 1191

050771,001868: 12,3704           40220        APSIDES            STQ      SETPD                                 #                                  PL AT  0
050772,001869: 12,3705           02710                                    RTNAPSE                               
050773,001870: 12,3706           00001                                    0D                                    
050774,001871: 12,3707           77600                           BOV                                            
050775,001872: 12,3710           25711                                    +1                                    
050776,001873: 12,3711           63375                           VLOAD    PDVL                                  #                                  PL AT  6
050777,001874: 12,3712           02655                                    RVEC                                  
050778,001875: 12,3713           02744                                    VVEC                                  
050779,001876: 12,3714           77624                           CALL                                           
050780,001877: 12,3715           11036                                    PARAM                                 
050781,001878: 12,3716           77600                           BOV                                            #                                  PL AT  0
050782,001879: 12,3717           25720                                    GETECC                                
050783,001880: 12,3720           42405        GETECC             DMP      SL4                                   
050784,001881: 12,3721           02742                                    R1A                                   
050785,001882: 12,3722           75421                           BDSU     SQRT                                  
050786,001883: 12,3723           11007                                    D1/64                                 
050787,001884: 12,3724           02752                           STORE    ECC                                   
050788,001885: 12,3725           65215                           DAD      PDDL                                  #                                  PL AT  2
050789,001886: 12,3726           11003                                    D1/8                                  
050790,001887: 12,3727           00041                                    R1                                    
050791,001888: 12,3730           72405                           DMP      SL1                                   
050792,001889: 12,3731           02740                                    P                                     
050793,001890: 12,3732           77671                           DDV                                            #                                  PL AT  0
050794,001891: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)              PL AT  2
050795,001892: 12,3734           02742                                    R1A                                   
050796,001893: 12,3735           00047                                    X1                                    
050797,001894: 12,3736           53725                           PDDL     SL*                                   #                                  PL AT  4
050798,001895: 12,3737           00041                                    R1                                    
050799,001896: 12,3740           20174                                    0          -5,1                       
050800,001897: 12,3741           45271                           DDV      DSU                                   #                                  PL AT 2,0
050801,001898: 12,3742           50000                           BOV      BMN                                   
050802,001899: 12,3743           25747                                    INFINAPO                              
050803,001900: 12,3744           25747                                    INFINAPO                              
050804,001901: 12,3745           77650                           GOTO                                           
050805,001902: 12,3746           02710                                    RTNAPSE                               
050806,001903: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC,PERIAPSIS
050807,001904: 12,3750           24020                                    LDPOSMAX                              
050808,001905: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050809,001906: 

Page 1192

050811,001908: 12,3752           77776        ABTCONIC           EXIT                                           
050812,001909: 12,3753           05653                           TC       POODOO                                
050813,001910: 12,3754           20607                           OCT      20607                                 
050814,001911: 
050815,001912: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050816,001913: 
050817,001914:                                                                                                  #  ERASABLE ASSIGNMENTS
050818,001915: 
050819,001916: 
050820,001917:                                                                                                  #  KEPLER SUBROUTINE
050821,001918: 
050822,001919:                                                                                                  #     INPUT -
050823,001920:                                                                                                  #  RRECT    ERASE  +5
050824,001921:                                                                                                  #  VRECT    ERASE  +5
050825,001922:                                                                                                  #  TAU.     ERASE  +1
050826,001923:                                                                                                  #  XKEP     ERASE  +1
050827,001924:                                                                                                  #  TC       ERASE  +1
050828,001925:                                                                                                  #  XPREV    ERASE  +1
050829,001926: 12,3755                        1/MU               EQUALS   14D                                   
050830,001927: 12,3755                        ROOTMU             EQUALS   16D                                   
050831,001928: 12,3755                        1/ROOTMU           EQUALS   18D                                   
050832,001929:                                                                                                  #     OUTPUT -
050833,001930:                                                                                                  #  RCV      ERASE  +5
050834,001931:                                                                                                  #  VCV      ERASE  +5
050835,001932:                                                                                                  #  RC       ERASE  +1
050836,001933:                                                                                                  #  XPREV    ERASE  +1
050837,001934: 
050838,001935:                                                                                                  #  DEBRIS -
050839,001936: 12,3755                        ALPHA              EQUALS   8D                                    
050840,001937: 12,3755                        XMAX               EQUALS   10D                                   
050841,001938: 12,3755                        XMIN               EQUALS   12D                                   
050842,001939: 12,3755                        X                  EQUALS   20D                                   
050843,001940: 12,3755                        XI                 EQUALS   24D                                   
050844,001941: 12,3755                        S(XI)              EQUALS   26D                                   
050845,001942: 12,3755                        XSQC(XI)           EQUALS   28D                                   
050846,001943: 12,3755                        T                  EQUALS   30D                                   
050847,001944: 12,3755                        R1                 EQUALS   32D                                   
050848,001945: 12,3755                        KEPC1              EQUALS   34D                                   
050849,001946: 12,3755                        KEPC2              EQUALS   36D                                   
050850,001947:                                                                                                  #  DELX     ERASE  +1
050851,001948:                                                                                                  #  DELT     ERASE  +1
050852,001949:                                                                                                  #  URRECT   ERASE  +5
050853,001950:                                                                                                  #  RCNORM   ERASE  +1
050854,001951:                                                                                                  #  XPREV    EQUALS XKEP
050855,001952: 
050856,001953: 
050857,001954:                                                                                                  #  LAMBERT SUBROUTINE
050858,001955: 
050859,001956:                                                                                                  #     INPUT-
050860,001957:                                                                                                  #  R1VEC    ERASE  +5

Page 1193

050862,001959:                                                                                                  #  R2VEC    ERASE  +5
050863,001960:                                                                                                  #  TDESIRED ERASE  +1
050864,001961:                                                                                                  #  GEOMSGN  ERASE  +0
050865,001962:                                                                                                  #  GUESSW                          0 IF COGA GUESS AVAILABLE, 1 IF NOT
050866,001963:                                                                                                  #  COGA     ERASE  +1              INPUT ONLY IF GUESSW IS ZERO.
050867,001964:                                                                                                  #  NORMSW                          0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050868,001965:                                                                                                  #  UN       ERASE  +5              ONLY USED IF NORMSW IS 1
050869,001966:                                                                                                  #  VTARGTAG ERASE  +0
050870,001967:                                                                                                  #  TWEEKIT  EQUALS 40D             ONLY USED IF GUESSW IS 0
050871,001968: 
050872,001969:                                                                                                  #     OUTPUT -
050873,001970:                                                                                                  #  VTARGET  ERASE  +5              AVAILABLE ONLY IF VTARGTAG IS ZERO.
050874,001971:                                                                                                  #  V1VEC    EQUALS MPAC
050875,001972: 
050876,001973:                                                                                                  #     DEBRIS -
050877,001974:                                                                                                  #  RTNLAMB  ERASE  +0
050878,001975:                                                                                                  #  U2       ERASE  +5
050879,001976:                                                                                                  #  MAGVEC2  ERASE  +1
050880,001977:                                                                                                  #  UR1      ERASE  +5
050881,001978:                                                                                                  #  R1       EQUALS 31D
050882,001979:                                                                                                  #  UN       ERASE  +5
050883,001980:                                                                                                  #  SNTH     ERASE  +1
050884,001981:                                                                                                  #  CSTH     ERASE  +1
050885,001982:                                                                                                  #  1-CSTH   ERASE  +1
050886,001983:                                                                                                  #  CSTH-RHO ERASE  +1
050887,001984: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050888,001985: 12,3755                        COGAMIN            EQUALS   8D                                    
050889,001986: 12,3755                        DCOGA              EQUALS   12D                                   
050890,001987:                                                                                                  #  TWEEKIT  EQUALS 40D
050891,001988:                                                                                                  #  P        ERASE  +1
050892,001989:                                                                                                  #  COGA     ERASE  +1
050893,001990:                                                                                                  #  R1A      ERASE  +1
050894,001991:                                                                                                  #  X        EQUALS 20D
050895,001992:                                                                                                  #  XSQ      EQUALS 22D
050896,001993:                                                                                                  #  XI       EQUALS 24D
050897,001994:                                                                                                  #  S(XI)    EQUALS 26D
050898,001995:                                                                                                  #  XSQC(XI) EQUALS 28D
050899,001996:                                                                                                  #  T        EQUALS 30D
050900,001997:                                                                                                  #  KEPC1    EQUALS 34D
050901,001998:                                                                                                  #  KEPC2    EQUALS 36D
050902,001999:                                                                                                  #  SLOPESW
050903,002000:                                                                                                  #  SOLNSW
050904,002001:                                                                                                  #  OTHERS -
050905,002002: 
050906,002003:                                                                                                  #  RVEC     EQUALS R1VEC
050907,002004:                                                                                                  #  VVEC     ERASE  +5
050908,002005:                                                                                                  #  COGAFLAG
050909,002006:                                                                                                  #  RVSW
050910,002007:                                                                                                  #  INFINFLG
050911,002008:                                                                                                  #  APSESW

Page 1194

050913,002010:                                                                                                  #  360SW
050914,002011:                                                                                                  #  RTNTT    EQUALS RTNLAMB
050915,002012:                                                                                                  #  ECC      ERASE  +1
050916,002013:                                                                                                  #  RTNTR    EQUALS RTNLAMB
050917,002014:                                                                                                  #  RTNAPSE  EQUALS RTNLAMB
050918,002015:                                                                                                  #  R2       EQUALS MAGVEC2
050919,002016: 12,3755                        COSF               EQUALS   24D                                   
050920,002017:                                                                                                  #  RTNPRM   ERASE  +0
050921,002018:                                                                                                  #  SGNRDOT  ERASE  +0
050922,002019:                                                                                                  #  RDESIRED ERASE  +1
050923,002020: 
050924,002021: 
050925,002022:                                                                                                  #  ITERATOR SUBROUTINE
050926,002023: 
050927,002024:                                                                                                  #  ORDERSW
050928,002025: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050929,002026: 12,3755                        MIN                EQUALS   8D                                    
050930,002027:                                                                                                  #  INDEP    ERASE  +1
050931,002028: 12,3755                        DELINDEP           EQUALS   12D                                   
050932,002029: 12,3755                        ITERCTR            EQUALS   22D                                   
050933,002030: 12,3755                        DEP                EQUALS   30D                                   
050934,002031:                                                                                                  #  DELDEP   ERASE  +1
050935,002032:                                                                                                  #  DEPREV   ERASE  +1
050936,002033: 12,3755                        TWEEKIT            EQUALS   40D                                   
050937,002034: 
050938,002035: 
050939,002036:                                                                                                  #  MORE KEPLER
050940,002037: 
050941,002038:                                                                                                  #  EPSILONT ERASE  +1
050942,002039: 
050943,002040: 
050944,002041:                                                                                                  #  MORE LAMBERT
050945,002042: 
050946,002043:                                                                                                  #  TERRLAMB EQUALS DELDEP
050947,002044:                                                                                                  #  TPREV    EQUALS DEPREV
050948,002045: 
050949,002046: 
050950,002047:                                                                                                  #  EPSILONL EQUALS EPSILONT +2     DOUBLE PRECISION WORD

End of include-file CONIC_SUBROUTINES.agc.  Parent file is MAIN.agc