Source Code

These source-code files are part of a reconstructed copy of Luminary 98, a development version of the Apollo 11 Lunar Module (LM) Apollo Guidance Computer (AGC) software.

The reconstruction began with source code of Luminary 99 revision 1 previously transcribed from a digitized copy of that program. The code was then updated by undoing changes described in original Luminary memo 85, using asterisks indicating changed lines in the listing as a guide. While no listing of this version is known to exist, nor are the memory-bank checksums available, the reconstruction is believed to be correct because it was an an intermediate step in reconstructing Luminary 97 whose reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021152G. Note that page numbers in the reconstructed code match those on the Luminary 099 revision 001 printout, although the added code would likely have changed page numbers for a real Luminary 98 listing.

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.

048342,000002:                                                                                                  ## Copyright:   Public domain.
048343,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048344,000004:                                                                                                  ## Purpose:     A section of Luminary revision 98.
048345,000005:                                                                                                  ##              It is part of the reconstructed source code for the a
048346,000006:                                                                                                  ##              development version of the flight software for the Lunar 
048347,000007:                                                                                                  ##              Module's (LM) Apollo Guidance Computer (AGC) for Apollo 11.
048348,000008:                                                                                                  ##              The code has been recreated from a copy of Luminary 99
048349,000009:                                                                                                  ##              revision 001, using asterisks indicating changed lines in
048350,000010:                                                                                                  ##              the listing and Luminary Memo #85, which lists changes between
048351,000011:                                                                                                  ##              Luminary 98 and 99.
048352,000012:                                                                                                  ## Reference:   pp. 1159-1204
048353,000013:                                                                                                  ## Assembler:   yaYUL
048354,000014:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048355,000015:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048356,000016:                                                                                                  ## Mod history: 2019-07-28 MAS  Created from Luminary 99.
048357,000017: 

Page 1159

048359,000019:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
048360,000020:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048361,000021:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048362,000022: 
048363,000023:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048364,000024:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048365,000025:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048366,000026:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048367,000027:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048368,000028:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048369,000029:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048370,000030:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048371,000031:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048372,000032:                                                                                                  #  TINES APPROPRIATELY.
048373,000033: 
048374,000034:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048375,000035:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048376,000036:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048377,000037: 
048378,000038:                                                                                                  #  RESTRICTIONS -
048379,000039:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048380,000040:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048381,000041:                                                                                                  #  TORIES COULD BE HANDLED.
048382,000042: 
048383,000043:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048384,000044:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048385,000045:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048386,000046: 

Page 1160

048388,000048:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
048389,000049:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
048390,000050:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048391,000051:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048392,000052:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048393,000053:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048394,000054: 
048395,000055:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048396,000056:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048397,000057:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048398,000058:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
048399,000059:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048400,000060:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048401,000061:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048402,000062: 
048403,000063:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048404,000064:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048405,000065: 
048406,000066:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048407,000067:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048408,000068: 
048409,000069:                                                                                                  #  THE RESTRICTIONS ARE -
048410,000070:                                                                                                  #        1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048411,000071:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048412,000072:                                                                                                  #           ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048413,000073: 
048414,000074:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048415,000075:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048416,000076:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048417,000077: 
048418,000078:                                                                                                  #  REFERENCES -
048419,000079:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048420,000080:                                                                                                  #        MEMO 67-4.
048421,000081: 
048422,000082:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048423,000083:                                                                                                  #                        * SCALE FACTOR  *
048424,000084:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *               DESCRIPTION AND REMARKS
048425,000085:                                                                                                  #        --------        *-------------- *               -----------------------
048426,000086:                                                                                                  #        RRECT           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048427,000087:                                                                                                  #                        * +27 FOR MOON  *

Page 1161

048429,000089:                                                                                                  #        VRECT           * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048430,000090:                                                                                                  #                        * +5 FOR MOON   * 
048431,000091:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048432,000092:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
048433,000093:                                                                                                  #        TAU.            * +28           *       DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048434,000094:                                                                                                  #                        *               *               MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048435,000095:                                                                                                  #        XKEPNEW         * +17 FOR EARTH *       DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
048436,000096:                                                                                                  #                        * +16 FOR MOON  *               AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048437,000097:                                                                                                  #                        *               *               MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048438,000098:                                                                                                  #                        *               *               BY KEPLER TO A POOR BUT VALID GUESS.
048439,000099:                                                                                                  #        TC              * +28           *       DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048440,000100:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048441,000101:                                                                                                  #                        * +16 FOR MOON  *               ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048442,000102: 
048443,000103:                                                                                                  #  SUBROUTINES CALLED -
048444,000104:                                                                                                  #        DELTIME
048445,000105: 
048446,000106:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048447,000107:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048448,000108:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
048449,000109:                                                                                                  #        KEPRTN          ...                     CONTINUE
048450,000110: 
048451,000111:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048452,000112:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048453,000113:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048454,000114: 
048455,000115:                                                                                                  #  ABORT EXIT MODES -
048456,000116:                                                                                                  #        NONE
048457,000117: 
048458,000118:                                                                                                  #  OUTPUT -
048459,000119:                                                                                                  #                        * SCALE FACTOR  *
048460,000120:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048461,000121:                                                                                                  #        --------        *-------------- *       -----------------------
048462,000122:                                                                                                  #        RCV             * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS
048463,000123:                                                                                                  #                        * +27 FOR MOON  *
048464,000124:                                                                                                  #        VCV             * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048465,000125:                                                                                                  #                        * +5 FOR MOON   *
048466,000126:                                                                                                  #        TC              * +28           *       DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
048467,000127:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
048468,000128:                                                                                                  #                        * +16 FOR MOON  *               CORRESPONDING TO ONE PERIOD.

Page 1162

048470,000130:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048471,000131: 
048472,000132:                                                                                                  #  DEBRIS -
048473,000133:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048474,000134:                                                                                                  #                        * SCALE FACTOR  *
048475,000135:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048476,000136:                                                                                                  #        --------        *-------------- *       -----------------------
048477,000137:                                                                                                  #        URRECT          * +1            *       DP UNIT VECTOR OF INITIAL POSITION
048478,000138:                                                                                                  #        R1              * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION IN METERS
048479,000139:                                                                                                  #                        * +27 FOR MOON  *
048480,000140:                                                                                                  #        ALPHA           * -22 FOR EARTH *       DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048481,000141:                                                                                                  #                        * -20 FOR MOON  *
048482,000142:                                                                                                  #        TMODULO         * +28           *       DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048483,000143:                                                                                                  #                        *               *       TAU. OF LESS THAN ONE PERIOD.
048484,000144: 
048485,000145:                                                                                                  #  PARAMETERS OF NO USE -
048486,000146:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048487,000147: 

Page 1163

048489,000149: 
048490,000150:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
048491,000151:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048492,000152:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048493,000153: 
048494,000154:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048495,000155:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048496,000156:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048497,000157:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048498,000158:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048499,000159:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048500,000160:                                                                                                  #  UTILIZED IN THE COMPUTATION.
048501,000161: 
048502,000162:                                                                                                  #  THE RESTRICTIONS ARE -
048503,000163:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048504,000164:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048505,000165:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048506,000166:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048507,000167:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048508,000168:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048509,000169:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048510,000170: 
048511,000171:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048512,000172:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                 THE AGC COMPUTATION TIME IS APPROXIMATE-
048513,000173:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048514,000174: 
048515,000175:                                                                                                  #  REFERENCES -
048516,000176:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048517,000177:                                                                                                  #        SGA MEMO 67-4.
048518,000178: 
048519,000179:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048520,000180:                                                                                                  #  
048521,000181:                                                                                                  #                        * SCALE FACTOR  *
048522,000182:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048523,000183:                                                                                                  #        --------        *-------------- *       -----------------------
048524,000184:                                                                                                  #        R1VEC           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048525,000185:                                                                                                  #                        * +27 FOR MOON  *
048526,000186:                                                                                                  #        R2VEC           * +29 FOR EARTH *       DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048527,000187:                                                                                                  #                        * +27 FOR MOON  *
048528,000188:                                                                                                  #        TDESIRED        * +28           *       DP DESIRED TRANSFER TIME IN CENTISECONDS
048529,000189:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048530,000190:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
048531,000191:                                                                                                  #        GEOMSGN         * NONE          *       SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048532,000192:                                                                                                  #        GUESSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1164

048534,000194:                                                                                                  #                        *               *               COGA IS TO BE USED BY LAMBERT
048535,000195:                                                                                                  #        COGA            * +5            *       DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048536,000196:                                                                                                  #                                        *       IGNORED IF GUESSW IS SET.
048537,000197:                                                                                                  #        NORMSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048538,000198:                                                                                                  #                        *               *               LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048539,000199:                                                                                                  #        UN              * +1            *       DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048540,000200:                                                                                                  #                        *               *               MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048541,000201:                                                                                                  #        VTARGTAG        * NONE          *       A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048542,000202:                                                                                                  #                        *               *               AT R1VEC.
048543,000203:                                                                                                  #        ITERCTR         * NONE          *       A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048544,000204:                                                                                                  #                        *               *               (AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
048545,000205:                                                                                                  #                        *               *               ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048546,000206:                                                                                                  #                        *               *               TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048547,000207: 
048548,000208:                                                                                                  #  SUBROUTINES CALLED -
048549,000209:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048550,000210: 
048551,000211:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048552,000212:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048553,000213:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048554,000214:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
048555,000215:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048556,000216:                                                                                                  #        L+3             SOLNSW
048557,000217:                                                                                                  #        L+4             LAMABORT
048558,000218: 
048559,000219:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048560,000220:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048561,000221: 
048562,000222:                                                                                                  #  ABORT EXIT MODES -
048563,000223:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048564,000224:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048565,000225:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048566,000226:                                                                                                  #  LAMABORT      DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
048567,000227:                                                                                                  #                        1-CSTH          360 DEGREES.
048568,000228:                                                                                                  #                DSU     BMN
048569,000229:                                                                                                  #                        ONEBIT
048570,000230:                                                                                                  #                        CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
048571,000231:                                                                                                  #                DLOAD   DAD
048572,000232:                                                                                                  #                        TDESIRED
048573,000233:                                                                                                  #                        SOMETIME
048574,000234:                                                                                                  #                STCALL  TDESIRED        INCREASE TDESIRED
048575,000235:                                                                                                  #                        LAMBERT
048576,000236: 

Page 1165

048578,000238:                                                                                                  #  OUTPUT -
048579,000239:                                                                                                  #                        * SCALE FACTOR  *
048580,000240:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048581,000241:                                                                                                  #        --------        *-------------- *       -----------------------
048582,000242:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048583,000243:                                                                                                  #                        * +5 FOR MOON   *               PROBLEM.
048584,000244:                                                                                                  #        VTARGET         * +7 FOR EARTH  *       DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048585,000245:                                                                                                  #                        * +5 FOR MOON   *
048586,000246:                                                                                                  #        SOLNSW          * NONE          *       INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048587,000247:                                                                                                  #                        *               *               SOLUTION EXISTS.
048588,000248: 
048589,000249:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048590,000250: 
048591,000251:                                                                                                  #  DEBRIS -
048592,000252:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048593,000253: 
048594,000254:                                                                                                  #                        * SCALE FACTOR  *
048595,000255:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048596,000256:                                                                                                  #        --------        *-------------- *       -----------------------
048597,000257:                                                                                                  #        SNTH            * +1            *       DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048598,000258:                                                                                                  #        CSTH            * +1            *       DP COSINE OF ANGLE
048599,000259:                                                                                                  #        1-CSTH          * +2            *       DP 1-CSTH
048600,000260:                                                                                                  #        COGA            * +5            *       DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048601,000261:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048602,000262:                                                                                                  #        R1A             * +6            *       DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048603,000263:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP INITIAL RADIUS IN METERS
048604,000264:                                                                                                  #                        * +27 FOR MOON  *
048605,000265:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF R1VEC
048606,000266:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF R2VEC
048607,000267: 
048608,000268:                                                                                                  #        PARAMETERS OF NO USE
048609,000269:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048610,000270:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048611,000271: 

Page 1166

048613,000273:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
048614,000274:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048615,000275:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048616,000276: 
048617,000277:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048618,000278:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
048619,000279:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048620,000280:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048621,000281:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048622,000282:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048623,000283:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048624,000284: 
048625,000285:                                                                                                  #  THE RESTRICTIONS ARE -
048626,000286:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048627,000287:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048628,000288:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048629,000289:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048630,000290: 
048631,000291:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
048632,000292: 
048633,000293:                                                                                                  #  REFERENCES -
048634,000294:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048635,000295: 
048636,000296:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048637,000297:                                                                                                  #                        * SCALE FACTOR  *
048638,000298:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048639,000299:                                                                                                  #        --------        *-------------- *       -----------------------
048640,000300:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048641,000301:                                                                                                  #                        * +27 FOR MOON  *
048642,000302:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048643,000303:                                                                                                  #                        * +5 FOR MOON   *
048644,000304:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
048645,000305:                                                                                                  #        CSTH            * +1            *       DP COSINE OF THE ANGLE
048646,000306:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048647,000307:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
048648,000308:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048649,000309:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
048650,000310: 
048651,000311:                                                                                                  #  SUBROUTINES CALLED -

Page 1167

048653,000313:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
048654,000314: 
048655,000315:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048656,000316:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048657,000317:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048658,000318:                                                                                                  #        L+1             RVSW
048659,000319:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
048660,000320:                                                                                                  #        L+3     ...                     CONTINUE
048661,000321: 
048662,000322:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
048663,000323:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048664,000324:                                                                                                  #        L+1             RVSW
048665,000325:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
048666,000326:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
048667,000327:                                                                                                  #        L+3     STOVL   NEWVVEC
048668,000328:                                                                                                  #        L+4     STADR
048669,000329:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
048670,000330:                                                                                                  #        L+6     ...                     CONTINUE
048671,000331: 
048672,000332:                                                                                                  #  ABORT EXIT MODES -
048673,000333:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
048674,000334:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
048675,000335: 
048676,000336:                                                                                                  #  OUTPUT -
048677,000337:                                                                                                  #                        * SCALE FACTOR  *
048678,000338:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048679,000339:                                                                                                  #        --------        *-------------- *       -----------------------
048680,000340:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
048681,000341:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
048682,000342:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
048683,000343:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
048684,000344:                                                                                                  #                        *               *               CLEAR IF NOT.
048685,000345: 
048686,000346:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
048687,000347:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
048688,000348:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
048689,000349:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
048690,000350:                                                                                                  #                        * +27 FOR MOON  *
048691,000351: 
048692,000352:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048693,000353: 

Page 1168

048695,000355:                                                                                                  #  DEBRIS -
048696,000356:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048697,000357:                                                                                                  #  
048698,000358:                                                                                                  #                        * SCALE FACTOR  *
048699,000359:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048700,000360:                                                                                                  #        --------        *-------------- *       -----------------------
048701,000361:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
048702,000362:                                                                                                  #                        * +27 FOR MOON  *
048703,000363:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
048704,000364:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
048705,000365:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
048706,000366:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
048707,000367:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
048708,000368:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
048709,000369: 
048710,000370:                                                                                                  #        PARAMETERS OF NO USE -
048711,000371:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
048712,000372:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
048713,000373: 

Page 1169

048715,000375:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
048716,000376:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
048717,000377:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
048718,000378: 
048719,000379:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048720,000380: 
048721,000381:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
048722,000382:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048723,000383:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048724,000384:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048725,000385:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048726,000386:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048727,000387: 
048728,000388:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
048729,000389:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
048730,000390: 
048731,000391:                                                                                                  #  THE RESTRICTIONS ARE -
048732,000392:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048733,000393:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048734,000394:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048735,000395:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048736,000396:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
048737,000397:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
048738,000398:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
048739,000399: 
048740,000400:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
048741,000401: 
048742,000402:                                                                                                  #  REFERENCES -
048743,000403:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048744,000404: 
048745,000405:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048746,000406:                                                                                                  #                        * SCALE FACTOR  *
048747,000407:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048748,000408:                                                                                                  #        --------        *-------------- *       -----------------------
048749,000409:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048750,000410:                                                                                                  #                        * +27 FOR MOON  *
048751,000411:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048752,000412:                                                                                                  #                        * +5 FOR MOON   *
048753,000413:                                                                                                  #        RDESIRED        * +29 FOR EARTH *       DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
048754,000414:                                                                                                  #                        * +27 FOR MOON  *               COMPUTED.
048755,000415:                                                                                                  #        SGNRDOT         * NONE          *       SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
048756,000416:                                                                                                  #                        *               *               POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1170

048758,000418:                                                                                                  #                        *               *               SINGLE-VALUED PROBLEM.
048759,000419:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048760,000420:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
048761,000421:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048762,000422:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
048763,000423: 
048764,000424:                                                                                                  #  SUBROUTINES CALLED -
048765,000425:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
048766,000426: 
048767,000427:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048768,000428: 
048769,000429:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048770,000430:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048771,000431:                                                                                                  #        L+1             RVSW
048772,000432:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
048773,000433:                                                                                                  #        L+3     ...                     CONTINUE
048774,000434: 
048775,000435:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
048776,000436:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048777,000437:                                                                                                  #        L+1             RVSW
048778,000438:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
048779,000439:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
048780,000440:                                                                                                  #        L+3     STOVL   NEWVVEC
048781,000441:                                                                                                  #        L+4     STADR
048782,000442:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
048783,000443:                                                                                                  #        L+6     ...                     CONTINUE
048784,000444: 
048785,000445:                                                                                                  #  ABORT EXIT MODES -
048786,000446:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
048787,000447:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
048788,000448: 
048789,000449:                                                                                                  #  OUTPUT -
048790,000450:                                                                                                  #                        * SCALE FACTOR  *
048791,000451:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048792,000452:                                                                                                  #        --------        *-------------- *       -----------------------
048793,000453:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
048794,000454:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
048795,000455:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
048796,000456:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
048797,000457:                                                                                                  #                        *               *               CLEAR IF NOT.
048798,000458:                                                                                                  #        APSESW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1171

048800,000460:                                                                                                  #                        *               *               LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
048801,000461:                                                                                                  #                        *               *               WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
048802,000462:                                                                                                  #                        *               *               APOCENTER.
048803,000463:                                                                                                  #        SOLNSW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
048804,000464:                                                                                                  #                                        *               POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
048805,000465:                                                                                                  #                                        *               MINUS-18, THE SWITCH IS CLEAR.
048806,000466: 
048807,000467:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
048808,000468: 
048809,000469:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
048810,000470:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
048811,000471:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
048812,000472:                                                                                                  #                        * +27 FOR MOON  *
048813,000473: 
048814,000474:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048815,000475: 
048816,000476:                                                                                                  #  DEBRIS -
048817,000477:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048818,000478: 
048819,000479:                                                                                                  #                        * SCALE FACTOR  *
048820,000480:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048821,000481:                                                                                                  #        --------        *-------------- *       -----------------------
048822,000482:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
048823,000483:                                                                                                  #                        * +27 FOR MOON  *
048824,000484:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
048825,000485:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
048826,000486:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
048827,000487:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
048828,000488:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
048829,000489:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
048830,000490:                                                                                                  #        CSTH            * +1            *       DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
048831,000491:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE ANOMALY DIFFERENCE.
048832,000492: 
048833,000493:                                                                                                  #        PARAMETERS OF NO USE -
048834,000494:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
048835,000495:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
048836,000496: 
048837,000497: 

Page 1172

048839,000499:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
048840,000500:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
048841,000501:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
048842,000502: 
048843,000503:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048844,000504: 
048845,000505:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
048846,000506:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
048847,000507:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048848,000508:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048849,000509:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048850,000510: 
048851,000511:                                                                                                  #  THE RESTRICTIONS ARE -
048852,000512:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
048853,000513:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
048854,000514:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048855,000515:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048856,000516: 
048857,000517:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
048858,000518: 
048859,000519:                                                                                                  #  REFERENCES -
048860,000520:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
048861,000521: 
048862,000522:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048863,000523:                                                                                                  #                        * SCALE FACTOR  *
048864,000524:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048865,000525:                                                                                                  #        --------        *-------------- *       -----------------------
048866,000526:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048867,000527:                                                                                                  #                        * +27 FOR MOON  *
048868,000528:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048869,000529:                                                                                                  #                        * +5 FOR MOON   *
048870,000530:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048871,000531:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
048872,000532: 
048873,000533:                                                                                                  #  SUBROUTINES CALLED -
048874,000534:                                                                                                  #        PARAM, GEOM
048875,000535: 
048876,000536:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1173

048878,000538:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048879,000539:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048880,000540:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
048881,000541:                                                                                                  #        L+2     STODL   APOAPSE
048882,000542:                                                                                                  #        L+3             0D
048883,000543:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
048884,000544:                                                                                                  #        L+5     ...                     CONTINUE
048885,000545: 
048886,000546:                                                                                                  #  OUTPUT -
048887,000547:                                                                                                  #                        * SCALE FACTOR  *
048888,000548:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048889,000549:                                                                                                  #        --------        *-------------- *       -----------------------
048890,000550:                                                                                                  #        MPAC            * +29 FOR EARTH *       DP RADIUS OF APOCENTER IN METERS
048891,000551:                                                                                                  #                        * +27 FOR MOON  *
048892,000552:                                                                                                  #        0D-1D           * +29 FOR EARTH *       DP RADIUS OF PERICENTER IN METERS
048893,000553:                                                                                                  #                        * +27 FOR MOON  *
048894,000554:                                                                                                  #        ECC             * +3            *       DP ECCENTRICITY OF CONIC TRAJECTORY.
048895,000555: 
048896,000556:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048897,000557: 
048898,000558:                                                                                                  #  DEBRIS -
048899,000559: 
048900,000560:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048901,000561: 
048902,000562:                                                                                                  #                        * SCALE FACTOR  *
048903,000563:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048904,000564:                                                                                                  #        --------        *-------------- *       -----------------------
048905,000565:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
048906,000566:                                                                                                  #                        * +27 FOR MOON  *
048907,000567:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
048908,000568:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
048909,000569:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
048910,000570:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
048911,000571:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
048912,000572:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
048913,000573:                                                                                                  #        MAGVEC2         * +7 FOR EARTH  *       DP MAGNITUDE OF VVEC
048914,000574:                                                                                                  #                        * +5 FOR MOON   *
048915,000575: 
048916,000576:                                                                                                  #        PARAMETERS OF NO USE -
048917,000577:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
048918,000578:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
048919,000579: 
048920,000580: 12,2000                                           SETLOC   CONICS                                

Page 1174

048922,000582: 12,2000                                           BANK                                           
048923,000583: 
048924,000584: 12,2023                                           COUNT*   $$/CONIC                              
048925,000585: 12,2023  E5,1721                                  EBANK=   UR1                                   
048926,000586: 12,2023           40001        KEPLERN            SETPD    BOV                                   
048927,000587: 12,2024           00001                                    0                                     
048928,000588: 12,2025           24026                                    +1                                    
048929,000589: 12,2026           77773                           VLOAD*                                         
048930,000590: 12,2027           10005                                    MUTABLE,1                             
048931,000591: 12,2030           24017                           STOVL    14D                                   
048932,000592: 12,2031           01503                                    RRECT                                 
048933,000593: 12,2032           66256                           UNIT     SSP                                   
048934,000594: 12,2033           00027                                    ITERCTR                               
048935,000595: 12,2034           00024                                    20D                                   
048936,000596: 12,2035           16647                           STODL    URRECT                                
048937,000597: 12,2036           00045                                    36D                                   
048938,000598: 12,2037           24041                           STOVL    R1                                    
048939,000599: 12,2040           01503                                    RRECT                                 
048940,000600: 12,2041           76441                           DOT      SL1R                                  
048941,000601: 12,2042           01511                                    VRECT                                 
048942,000602: 12,2043           76405                           DMP      SL1R                                  
048943,000603: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
048944,000604: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
048945,000605: 12,2046           01511                                    VRECT                                 
048946,000606: 12,2047           57236                           VSQ      DMPR                                  
048947,000607: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
048948,000608: 12,2051           52405                           DMP      SL3                                   
048949,000609: 12,2052           00041                                    R1                                    
048950,000610: 12,2053           61425                           DSU      ROUND                                 
048951,000611: 12,2054           11035                                    D1/64                                 
048952,000612: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
048953,000613: 
048954,000614: 12,2056           74421                           BDSU     SR1R                                  
048955,000615: 12,2057           11035                                    D1/64                                 
048956,000616: 12,2060           77671                           DDV                                            
048957,000617: 12,2061           00041                                    R1                                    
048958,000618: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
048959,000619: 
048960,000620: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
048961,000621: 12,2064           24073                                    1REV                                  
048962,000622: 12,2065           11053                                    -50SC                                 #  -50SC (+12)
048963,000623: 12,2066           40071                           DDV      BOV                                   
048964,000624: 12,2067           00011                                    ALPHA                                 
048965,000625: 12,2070           24077                                    STOREMAX                              
048966,000626: 12,2071           52166                           SQRT     GOTO                                  
048967,000627: 12,2072           24077                                    STOREMAX                              
048968,000628: 
048969,000629: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1175

048971,000631: 12,2074           11055                                    2PISC                                 #  2PISC (+6)
048972,000632: 12,2075           77600                           BOV                                            
048973,000633: 12,2076           24077                                    STOREMAX                              
048974,000634: 12,2077           00013        STOREMAX           STORE    XMAX                                  
048975,000635: 12,2100           65205                           DMP      PDDL                                  
048976,000636: 12,2101           00023                                    1/ROOTMU                              
048977,000637: 12,2102           00011                                    ALPHA                                 
048978,000638: 12,2103           65301                           NORM     PDDL                                  
048979,000639: 12,2104           00047                                    X1                                    
048980,000640: 12,2105           56257                           SL*      DDV                                   
048981,000641: 12,2106           20173                                    0          -6,1                       
048982,000642: 12,2107           50000                           BOV      BMN                                   
048983,000643: 12,2110           24124                                    MODDONE                               
048984,000644: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
048985,000645: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
048986,000646: 12,2113           02074                                    TAU.                                  
048987,000647: 12,2114           50025                           DSU      BMN                                   
048988,000648: 12,2115           00001                                    0D                                    
048989,000649: 12,2116           24124                                    MODDONE                               
048990,000650: 12,2117           77765                           SIGN                                           
048991,000651: 12,2120           02074                                    TAU.                                  
048992,000652: 12,2121           16074                           STODL    TAU.                                  
048993,000653: 12,2122           77650                           GOTO                                           
048994,000654: 12,2123           24112                                    PERIODCH                              
048995,000655: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
048996,000656: 12,2125           00001                                    0                                     
048997,000657: 12,2126           02130                                    XKEPNEW                               
048998,000658: 12,2127           00025                           STORE    X                                     
048999,000659: 12,2130           53165                           SIGN     BZE                                   
049000,000660: 12,2131           02074                                    TAU.                                  
049001,000661: 12,2132           24302                                    BADX                                  
049002,000662: 12,2133           51440                           BMN      ABS                                   
049003,000663: 12,2134           24302                                    BADX                                  
049004,000664: 12,2135           51025                           DSU      BPL                                   
049005,000665: 12,2136           00013                                    XMAX                                  
049006,000666: 12,2137           24302                                    BADX                                  
049007,000667: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049008,000668: 12,2141           02074                                    TAU.                                  
049009,000669: 12,2142           24152                                    STOREMIN                              
049010,000670: 12,2143           57545                           DLOAD    DCOMP                                 
049011,000671: 12,2144           00013                                    XMAX                                  
049012,000672: 12,2145           14015                           STODL    XMIN                                  
049013,000673: 12,2146           24007                                    KEPZERO                               
049014,000674: 12,2147           00013                           STORE    XMAX                                  
049015,000675: 12,2150           77650                           GOTO                                           
049016,000676: 12,2151           24155                                    DXCOMP                                
049017,000677: 12,2152           77745        STOREMIN           DLOAD                                          
049018,000678: 12,2153           24007                                    KEPZERO                               
049019,000679: 12,2154           00015                           STORE    XMIN                                  
049020,000680: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1176

049022,000682: 12,2156           02074                                    TAU.                                  
049023,000683: 12,2157           11046                                    BEE22                                 
049024,000684: 12,2160           77646                           ABS                                            
049025,000685: 12,2161           16177                           STODL    EPSILONT                              
049026,000686: 12,2162           01553                                    XPREV                                 
049027,000687: 12,2163           77621        XDIFF              BDSU                                           
049028,000688: 12,2164           00025                                    X                                     
049029,000689: 12,2165           02643                           STORE    DELX                                  
049030,000690: 
049031,000691: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049032,000692: 12,2167           00025                                    X                                     #  X=XKEP
049033,000693: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049034,000694: 12,2171           00047                                    X1                                    
049035,000695: 12,2172           53605                           DMP      SRR*                                  
049036,000696: 12,2173           00011                                    ALPHA                                 
049037,000697: 12,2174           21573                                    0          -6,1                       
049038,000698: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049039,000699: 12,2176           24421                                    DELTIME                               
049040,000700: 12,2177           44200                           BOV      BDSU                                  
049041,000701: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049042,000702: 12,2201           02074                                    TAU.                                  
049043,000703: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049044,000704: 12,2203           44246                           ABS      BDSU                                  
049045,000705: 12,2204           02177                                    EPSILONT                              
049046,000706: 12,2205           71244                           BPL      DLOAD                                 
049047,000707: 12,2206           24333                                    KEPCONVG                              
049048,000708: 12,2207           00037                                    T                                     
049049,000709: 12,2210           60225                           DSU      NORM                                  
049050,000710: 12,2211           01551                                    TC                                    
049051,000711: 12,2212           00047                                    X1                                    
049052,000712: 12,2213           60325                           PDDL     NORM                                  
049053,000713: 12,2214           02643                                    DELX                                  
049054,000714: 12,2215           00050                                    X2                                    
049055,000715: 12,2216           41260                           XSU,1    DMP                                   
049056,000716: 12,2217           00047                                    X2                                    
049057,000717: 12,2220           02645                                    DELT                                  
049058,000718: 12,2221           56257                           SLR*     DDV                                   
049059,000719: 12,2222           21202                                    1,1                                   
049060,000720: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049061,000721: 12,2224           71244                           BPL      DLOAD                                 
049062,000722: 12,2225           24246                                    POSDELX                               
049063,000723: 12,2226           00025                                    X                                     
049064,000724: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049065,000725: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049066,000726: 12,2231           00015                                    XMIN                                  
049067,000727: 12,2232           51000                           BOV      BPL                                   
049068,000728: 12,2233           24240                                    NDXCHNGE                              
049069,000729: 12,2234           24240                                    NDXCHNGE                              
049070,000730: 12,2235           52145                           DLOAD    GOTO                                  

Page 1177

049072,000732: 12,2236           00001                                    0D                                    
049073,000733: 12,2237           24260                                    NEWDELX                               
049074,000734: 
049075,000735: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049076,000736: 12,2241           00015                                    XMIN                                  
049077,000737: 12,2242           00025                                    X                                     
049078,000738: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049079,000739: 12,2244           11051                                    DP9/10                                
049080,000740: 12,2245           24260                                    NEWDELX                               
049081,000741: 
049082,000742: 12,2246           77745        POSDELX            DLOAD                                          
049083,000743: 12,2247           00025                                    X                                     
049084,000744: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049085,000745: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049086,000746: 12,2252           00013                                    XMAX                                  
049087,000747: 12,2253           50000                           BOV      BMN                                   
049088,000748: 12,2254           24274                                    PDXCHNGE                              
049089,000749: 12,2255           24274                                    PDXCHNGE                              
049090,000750: 12,2256           77745                           DLOAD                                          
049091,000751: 12,2257           00001                                    0D                                    
049092,000752: 12,2260           02643        NEWDELX            STORE    DELX                                  
049093,000753: 12,2261           43254                           BZE      DAD                                   
049094,000754: 12,2262           24333                                    KEPCONVG                              
049095,000755: 12,2263           00025                                    X                                     
049096,000756: 12,2264           14025                           STODL    X                                     
049097,000757: 12,2265           00037                                    T                                     
049098,000758: 12,2266           01551                           STORE    TC                                    
049099,000759: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049100,000760: 12,2270           24644                                    CHECKCTR                              
049101,000761: 12,2271           24333                                    KEPCONVG                              
049102,000762: 12,2272           77650                           GOTO                                           
049103,000763: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049104,000764: 
049105,000765: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049106,000766: 12,2275           00013                                    XMAX                                  
049107,000767: 12,2276           00025                                    X                                     
049108,000768: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049109,000769: 12,2300           11051                                    DP9/10                                
049110,000770: 12,2301           24260                                    NEWDELX                               
049111,000771: 
049112,000772: 12,2302           70545        BADX               DLOAD    SR1                                   
049113,000773: 12,2303           00013                                    XMAX                                  
049114,000774: 12,2304           77765                           SIGN                                           
049115,000775: 12,2305           02074                                    TAU.                                  
049116,000776: 12,2306           00025                           STORE    X                                     
049117,000777: 12,2307           77650                           GOTO                                           

Page 1178

049119,000779: 12,2310           24140                                    STORBNDS                              
049120,000780: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049121,000781: 12,2312           00025                                    X                                     
049122,000782: 12,2313           24330                                    NEGTOVFL                              
049123,000783: 12,2314           00013                           STORE    XMAX                                  
049124,000784: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049125,000785: 12,2316           02643                                    DELX                                  
049126,000786: 12,2317           02643                           STORE    DELX                                  
049127,000787: 12,2320           44254                           BZE      BDSU                                  
049128,000788: 12,2321           02112                                    KEPRTN                                
049129,000789: 12,2322           00025                                    X                                     
049130,000790: 12,2323           14025                           STODL    X                                     
049131,000791: 12,2324           01551                                    TC                                    
049132,000792: 12,2325           00037                           STORE    T                                     
049133,000793: 12,2326           77650                           GOTO                                           
049134,000794: 12,2327           24267                                    BRNCHCTR                              
049135,000795: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049136,000796: 12,2331           77650                           GOTO                                           
049137,000797: 12,2332           24315                                    CMNTOVFL                              
049138,000798: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049139,000799: 12,2334           00041                                    R1                                    
049140,000800: 12,2335           74225                           DSU      VXSC                                  
049141,000801: 12,2336           00035                                    XSQC(XI)                              
049142,000802: 12,2337           02647                                    URRECT                                
049143,000803: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049144,000804: 12,2341           00025                                    X                                     
049145,000805: 12,2342           60316                           DSQ      NORM                                  
049146,000806: 12,2343           00047                                    X1                                    
049147,000807: 12,2344           57275                           DMPR     DMPR                                  
049148,000808: 12,2345           00023                                    1/ROOTMU                              
049149,000809: 12,2346           00025                                    X                                     
049150,000810: 12,2347           53605                           DMP      SRR*                                  
049151,000811: 12,2350           00033                                    S(XI)                                 
049152,000812: 12,2351           21572                                    0          -7,1                       
049153,000813: 12,2352           77621                           BDSU                                           
049154,000814: 12,2353           00037                                    T                                     
049155,000815: 12,2354           74352                           SL1      VXSC                                  
049156,000816: 12,2355           01511                                    VRECT                                 
049157,000817: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049158,000818: 12,2357           77712                           VSL4                                           
049159,000819: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049160,000820: 
049161,000821: 12,2361           60246                           ABVAL    NORM                                  
049162,000822: 12,2362           00050                                    X2                                    
049163,000823: 12,2363           14043                           STODL    RCNORM                                
049164,000824: 12,2364           00031                                    XI                                    
049165,000825: 12,2365           45275                           DMPR     DSU                                   
049166,000826: 12,2366           00033                                    S(XI)                                 
049167,000827: 12,2367           11033                                    D1/128                                

Page 1179

049169,000829: 12,2370           76405                           DMP      SL1R                                  
049170,000830: 12,2371           00021                                    ROOTMU                                
049171,000831: 12,2372           53605                           DMP      SLR*                                  
049172,000832: 12,2373           00025                                    X                                     
049173,000833: 12,2374           56601                                    0          -3,2                       
049174,000834: 12,2375           74271                           DDV      VXSC                                  
049175,000835: 12,2376           00043                                    RCNORM                                
049176,000836: 12,2377           02647                                    URRECT                                
049177,000837: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049178,000838: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049179,000839: 12,2402           56257                           SLR*     DDV                                   
049180,000840: 12,2403           56602                                    0          -4,2                       
049181,000841: 12,2404           00043                                    RCNORM                                
049182,000842: 12,2405           74221                           BDSU     VXSC                                  
049183,000843: 12,2406           11047                                    D1/256                                
049184,000844: 12,2407           01511                                    VRECT                                 
049185,000845: 12,2410           42455                           VAD      VSL8                                  
049186,000846: 12,2411           77626                           STADR                                          #                                PL AT 0
049187,000847: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049188,000848: 12,2413           00037                                    T                                     
049189,000849: 12,2414           15551                           STODL    TC                                    
049190,000850: 12,2415           00025                                    X                                     
049191,000851: 12,2416           01553                           STORE    XPREV                                 
049192,000852: 12,2417           77650                           GOTO                                           
049193,000853: 12,2420           02112                                    KEPRTN                                
049194,000854: 

Page 1180

049196,000856: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049197,000857: 12,2422           07222                           TC       POLY                                  
049198,000858: 12,2423           00010                           DEC      8          B-14                       
049199,000859: 12,2424           02525 12526                     2DEC     .083333334                            
049200,000860: 12,2426           67356 75666                     2DEC     -.266666684                            
049201,000861: 12,2430           15001 23771                     2DEC     .406349155                            
049202,000862: 12,2432           64342 43674                     2DEC     -.361198675                            
049203,000863: 12,2434           06563 04645                     2DEC     .210153242                            
049204,000864: 12,2436           75173 52672                     2DEC     -.086221951                            
049205,000865: 12,2440           00656 14331                     2DEC     .026268812                            
049206,000866: 12,2442           77633 40512                     2DEC     -.006163316                            
049207,000867: 12,2444           00023 11210                     2DEC     .001177342                            
049208,000868: 12,2446           77774 67506                     2DEC     -.000199055                            
049209,000869: 
049210,000870: 12,2450           06037                           TC       INTPRET                               
049211,000871: 12,2451           14033                           STODL    S(XI)                                 
049212,000872: 12,2452           00031                                    XI                                    
049213,000873: 12,2453           77776                           EXIT                                           
049214,000874: 12,2454           07222                           TC       POLY                                  
049215,000875: 12,2455           00010                           DEC      8          B-14                       
049216,000876: 12,2456           01000 00000                     2DEC     .031250001                            
049217,000877: 12,2460           72525 52506                     2DEC     -.166666719                            
049218,000878: 12,2462           13301 15337                     2DEC     .355555413                            
049219,000879: 12,2464           62776 54733                     2DEC     -.406347410                            
049220,000880: 12,2466           11176 13267                     2DEC     .288962094                            
049221,000881: 12,2470           73410 51674                     2DEC     -.140117894                            
049222,000882: 12,2472           01446 33641                     2DEC     .049247387                            
049223,000883: 12,2474           77451 65233                     2DEC     -.013081923                            
049224,000884: 12,2476           00055 37266                     2DEC     .002806389                            
049225,000885: 12,2500           77767 52336                     2DEC     -.000529414                            
049226,000886: 12,2502           06037                           TC       INTPRET                               

Page 1181

049228,000888: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049229,000889: 12,2504           00001                                    0D                                    
049230,000890: 12,2505           21574                                    0          -5,1                       
049231,000891: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049232,000892: 12,2507           72405                           DMP      SL1                                   
049233,000893: 12,2510           00043                                    KEPC1                                 
049234,000894: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049235,000895: 12,2512           21633                                    TPMODE                                #                                PL AT 0,3
049236,000896: 12,2513           53605                           DMP      SRR*                                  
049237,000897: 12,2514           00033                                    S(XI)                                 
049238,000898: 12,2515           21574                                    0          -5,1                       
049239,000899: 12,2516           72405                           DMP      SL1                                   
049240,000900: 12,2517           00045                                    KEPC2                                 
049241,000901: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049242,000902: 12,2521           21633                                    TPMODE                                
049243,000903: 12,2522           00041                                    R1                                    
049244,000904: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049245,000905: 12,2524           20607                                    6                                     
049246,000906: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049247,000907: 12,2526           00047                                    X1                                    
049248,000908: 12,2527           00025                                    X                                     
049249,000909: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049250,000910: 12,2531           20576                                    0          -3,1                       
049251,000911: 12,2532           57232                           SL4R     DMPR                                  
049252,000912: 12,2533           00023                                    1/ROOTMU                              
049253,000913: 12,2534           00037                           STORE    T                                     
049254,000914: 12,2535           77616                           RVQ                                            
049255,000915: 

Page 1182

049257,000917: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049258,000918: 12,2537           00614                                    SLOPESW                               
049259,000919: 12,2540           24606                                    FIRSTIME                              
049260,000920: 12,2541           00037                                    DEP                                   
049261,000921: 12,2542           60225                           DSU      NORM                                  
049262,000922: 12,2543           02762                                    DEPREV                                
049263,000923: 12,2544           00047                                    X1                                    
049264,000924: 12,2545           60325                           PDDL     NORM                                  
049265,000925: 12,2546           00015                                    DELINDEP                              
049266,000926: 12,2547           00050                                    X2                                    
049267,000927: 12,2550           41260                           XSU,1    DMP                                   
049268,000928: 12,2551           00047                                    X2                                    
049269,000929: 12,2552           02760                                    DELDEP                                
049270,000930: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049271,000931: 12,2554           21202                                    1,1                                   
049272,000932: 12,2555           43142                           SR1      BOFF                                  
049273,000933: 12,2556           04351                                    ORDERSW                               
049274,000934: 12,2557           24562                                    SGNCHECK                              
049275,000935: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049276,000936: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049277,000937: 
049278,000938: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049279,000939: 12,2563           24620                                    POSDEL                                
049280,000940: 12,2564           43145                           DLOAD    BON                                   
049281,000941: 12,2565           02766                                    INDEP                                 
049282,000942: 12,2566           04311                                    ORDERSW                               
049283,000943: 12,2567           24571                                    MINCHECK                              
049284,000944: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049285,000945: 
049286,000946: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049287,000947: 12,2572           00011                                    MIN                                   
049288,000948: 12,2573           51000                           BOV      BPL                                   
049289,000949: 12,2574           24600                                    MODNGDEL                              
049290,000950: 12,2575           24600                                    MODNGDEL                              
049291,000951: 12,2576           77650                           GOTO                                           
049292,000952: 12,2577           24632                                    DELOK                                 
049293,000953: 
049294,000954: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049295,000955: 12,2601           00011                                    MIN                                   
049296,000956: 12,2602           02766                                    INDEP                                 
049297,000957: 12,2603           52005                           DMP      GOTO                                  
049298,000958: 12,2604           11051                                    DP9/10                                
049299,000959: 12,2605           24634                                    NEWDEL                                
049300,000960: 
049301,000961: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049302,000962: 12,2607           00011                                    MIN                                   
049303,000963: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049304,000964: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1183

049306,000966: 12,2612           00017                                    MAX                                   
049307,000967: 12,2613           00051                                    TWEEKIT                               
049308,000968: 12,2614           77625                           DSU                                            
049309,000969: 12,2615           52165                           SIGN     GOTO                                  
049310,000970: 12,2616           02760                                    DELDEP                                
049311,000971: 12,2617           24562                                    SGNCHECK                              
049312,000972: 
049313,000973: 12,2620           43145        POSDEL             DLOAD    BON                                   
049314,000974: 12,2621           02766                                    INDEP                                 
049315,000975: 12,2622           04311                                    ORDERSW                               
049316,000976: 12,2623           24625                                    MAXCHECK                              
049317,000977: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049318,000978: 
049319,000979: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049320,000980: 12,2626           00017                                    MAX                                   
049321,000981: 12,2627           50000                           BOV      BMN                                   
049322,000982: 12,2630           24636                                    MODPSDEL                              
049323,000983: 12,2631           24636                                    MODPSDEL                              
049324,000984: 12,2632           77745        DELOK              DLOAD                                          
049325,000985: 12,2633           00001                                    0D                                    
049326,000986: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049327,000987: 12,2635           77616                           RVQ                                            
049328,000988: 
049329,000989: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049330,000990: 12,2637           00017                                    MAX                                   
049331,000991: 12,2640           02766                                    INDEP                                 
049332,000992: 12,2641           52005                           DMP      GOTO                                  
049333,000993: 12,2642           11051                                    DP9/10                                
049334,000994: 12,2643           24634                                    NEWDEL                                
049335,000995: 
049336,000996: 12,2644           44753        CHECKCTR           CS       ONE                                   
049337,000997: 12,2645           50120                           INDEX    FIXLOC                                
049338,000998: 12,2646           60026                           AD       ITERCTR                               
049339,000999: 12,2647           50120                           INDEX    FIXLOC                                
049340,001000: 12,2650           54026                           TS       ITERCTR                               
049341,001001: 12,2651           54154                           TS       MPAC                                  
049342,001002: 12,2652           06061                           TC       DANZIG                                
049343,001003: 

Page 1184

049345,001005: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049346,001006: 12,2654           00041                                    R1                                    
049347,001007: 12,2655           74225                           DSU      VXSC                                  
049348,001008: 12,2656           00035                                    XSQC(XI)                              
049349,001009: 12,2657           02722                                    UR1                                   
049350,001010: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
049351,001011: 12,2661           00025                                    X                                     
049352,001012: 12,2662           60316                           DSQ      NORM                                  
049353,001013: 12,2663           00047                                    X1                                    
049354,001014: 12,2664           57275                           DMPR     DMPR                                  
049355,001015: 12,2665           00023                                    1/ROOTMU                              
049356,001016: 12,2666           00025                                    X                                     
049357,001017: 12,2667           53605                           DMP      SRR*                                  
049358,001018: 12,2670           00033                                    S(XI)                                 
049359,001019: 12,2671           21572                                    0          -7,1                       
049360,001020: 12,2672           77621                           BDSU                                           
049361,001021: 12,2673           00037                                    T                                     
049362,001022: 12,2674           74352                           SL1      VXSC                                  
049363,001023: 12,2675           02744                                    VVEC                                  
049364,001024: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049365,001025: 12,2677           41512                           VSL4     PUSH                                  
049366,001026: 12,2700           77646                           ABVAL                                          
049367,001027: 12,2701           77701        LAMENTER           NORM                                           
049368,001028: 12,2702           00047                                    X1                                    
049369,001029: 12,2703           16720                           STODL    R2                                    
049370,001030: 12,2704           00031                                    XI                                    
049371,001031: 12,2705           45205                           DMP      DSU                                   
049372,001032: 12,2706           00033                                    S(XI)                                 
049373,001033: 12,2707           11033                                    D1/128                                
049374,001034: 12,2710           76405                           DMP      SL1R                                  
049375,001035: 12,2711           00021                                    ROOTMU                                
049376,001036: 12,2712           53605                           DMP      SLR*                                  
049377,001037: 12,2713           00025                                    X                                     
049378,001038: 12,2714           21176                                    0          -3,1                       
049379,001039: 12,2715           74271                           DDV      VXSC                                  
049380,001040: 12,2716           02720                                    R2                                    
049381,001041: 12,2717           02722                                    UR1                                   
049382,001042: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049383,001043: 12,2721           00035                                    XSQC(XI)                              
049384,001044: 12,2722           56257                           SLR*     DDV                                   
049385,001045: 12,2723           21175                                    0          -4,1                       
049386,001046: 12,2724           02720                                    R2                                    
049387,001047: 12,2725           77621                           BDSU                                           
049388,001048: 12,2726           11047                                    D1/256                                
049389,001049: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
049390,001050: 12,2730           02744                                    VVEC                                  
049391,001051: 12,2731           43412                           VSL8     RVQ                                   
049392,001052: 

Page 1185

049394,001054: 04,2000                                           SETLOC   CONICS1                               
049395,001055: 04,2000                                           BANK                                           
049396,001056: 
049397,001057: 04,3027                                           COUNT*   $$/CONIC                              
049398,001058:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049399,001059: 04,3027           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049400,001060: 04,3030           04000 00000  D1/8               2DEC     1.0        B-3                        
049401,001061: 04,3032           00200 00000  D1/128             2DEC     1.0        B-7                        
049402,001062: 04,3034           00400 00000  D1/64              2DEC     1.0        B-6                        
049403,001063: 04,3036           10000 00000  D1/4               2DEC     1.0        B-2                        
049404,001064: 04,3040           02000 00000  D1/16              2DEC     1.0        B-4                        
049405,001065: 04,3042           01000 00000  D1/32              2DEC     1.0        B-5                        
049406,001066: 04,3044           00020 00000  D1/1024            2DEC     1.0        B-10                       
049407,001067: 04,3046           00100 00000  D1/256             2DEC     1.0        B-8                        
049408,001068: 04,3050           34631 23146  DP9/10             2DEC     .9                                    
049409,001069: 04,3052  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049410,001070: 04,3052           77467 77777  -50SC              2DEC     -50.0      B-12                       
049411,001071: 04,3054           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049412,001072: 04,3056  04,3041               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049413,001073: 04,3056  04,3045               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049414,001074: 04,3056           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049415,001075: 04,3060           37767 37737  COGUPLIM           2DEC     .999511597                            
049416,001076: 04,3062           40010 40040  COGLOLIM           2DEC     -.999511597                            
049417,001077: 

Page 1186

049419,001079: 12,2000                                           SETLOC   CONICS                                
049420,001080: 12,2000                                           BANK                                           
049421,001081: 
049422,001082: 12,2732                                           COUNT*   $$/CONIC                              
049423,001083: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049424,001084: 12,2733           02710                                    RTNTT                                 
049425,001085: 12,2734           00001                                    0                                     
049426,001086: 12,2735           77600                           BOV                                            
049427,001087: 12,2736           24737                                    +1                                    
049428,001088: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049429,001089: 12,2740           02655                                    RVEC                                  
049430,001090: 12,2741           02744                                    VVEC                                  
049431,001091: 12,2742           77624                           CALL                                           
049432,001092: 12,2743           11064                                    PARAM                                 
049433,001093: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
049434,001094: 12,2745           24764                                    COGAOVFL                              
049435,001095: 12,2746           24767                                    GETX                                  
049436,001096: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049437,001097: 12,2750           00031                                    XI                                    
049438,001098: 12,2751           04310                                    INFINFLG                              
049439,001099: 12,2752           25742                                    ABTCONIC                              
049440,001100: 12,2753           45014                           CLEAR    CALL                                  
049441,001101: 12,2754           04273                                    COGAFLAG                              
049442,001102: 12,2755           24421                                    DELTIME                               
049443,001103: 12,2756           45014                           BON      CALL                                  
049444,001104: 12,2757           03706                                    RVSW                                  
049445,001105: 12,2760           02710                                    RTNTT                                 
049446,001106: 12,2761           24653                                    NEWSTATE                              
049447,001107: 12,2762           77650                           GOTO                                           
049448,001108: 12,2763           02710                                    RTNTT                                 
049449,001109: 
049450,001110: 12,2764           77614        COGAOVFL           SETGO                                          
049451,001111: 12,2765           04033                                    COGAFLAG                              
049452,001112: 12,2766           25742                                    ABTCONIC                              
049453,001113: 
049454,001114: 04,3064                                           BANK     4                                     
049455,001115: 04,2000                                           SETLOC   CONICS1                               
049456,001116: 04,2000                                           BANK                                           
049457,001117: 04,3064                                           COUNT*   $$/CONIC                              
049458,001118: 04,3064           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049459,001119: 04,3065           02753                                    RTNPRM                                
049460,001120: 04,3066           03665                                    NORMSW                                
049461,001121: 04,3067           77614                           CLEAR                                          
049462,001122: 04,3070           04273                                    COGAFLAG                              
049463,001123: 04,3071           45131                           SSP      CALL                                  
049464,001124: 04,3072           02673                                    GEOMSGN                               
049465,001125: 04,3073           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049466,001126: 04,3074           11130                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049467,001127: 04,3075           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049468,001128: 04,3076           56261                           SR       DDV                                   

Page 1187

049470,001130: 04,3077           20606                                    5                                     
049471,001131: 04,3100           00045                                    36D                                   
049472,001132: 04,3101           32766                           STOVL*   COGA                                  
049473,001133: 04,3102           10005                                    MUTABLE,1                             
049474,001134: 04,3103           14017                           STODL    1/MU                                  
049475,001135: 04,3104           02720                                    MAGVEC2                               
049476,001136: 04,3105           60316                           DSQ      NORM                                  
049477,001137: 04,3106           00047                                    X1                                    
049478,001138: 04,3107           41275                           DMPR     DMP                                   
049479,001139: 04,3110           00017                                    1/MU                                  
049480,001140: 04,3111           00041                                    R1                                    
049481,001141: 04,3112           77657                           SRR*                                           
049482,001142: 04,3113           21576                                    0          -3,1                       
049483,001143: 04,3114           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049484,001144: 04,3115           11043                                    D1/32                                 
049485,001145: 04,3116           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049486,001146: 
049487,001147: 04,3117           60205                           DMP      NORM                                  
049488,001148: 04,3120           00045                                    36D                                   
049489,001149: 04,3121           00047                                    X1                                    
049490,001150: 04,3122           53605                           DMP      SR*                                   
049491,001151: 04,3123           00045                                    36D                                   
049492,001152: 04,3124           20575                                    0          -4,1                       
049493,001153: 04,3125           02740                           STORE    P                                     #  P (+4)
049494,001154: 04,3126           77650                           GOTO                                           
049495,001155: 04,3127           02753                                    RTNPRM                                
049496,001156: 

Page 1188

049498,001158: 04,3130           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049499,001159: 04,3131           16712                           STODL    U2                                    #  U2 (+1)
049500,001160: 04,3132           00045                                    36D                                   
049501,001161: 04,3133           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049502,001162: 04,3134           77656                           UNIT                                           
049503,001163: 04,3135           02722                           STORE    UR1                                   #  UR1 (+1)
049504,001164: 04,3136           72441                           DOT      SL1                                   
049505,001165: 04,3137           02712                                    U2                                    
049506,001166: 04,3140           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049507,001167: 04,3141           00045                                    36D                                   
049508,001168: 04,3142           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049509,001169: 04,3143           02722                                    UR1                                   
049510,001170: 04,3144           76435                           VXV      VSL1                                  
049511,001171: 04,3145           02712                                    U2                                    
049512,001172: 04,3146           75214                           BON      SIGN                                  
049513,001173: 04,3147           03705                                    NORMSW                                
049514,001174: 04,3150           11162                                    HAVENORM                              
049515,001175: 04,3151           02673                                    GEOMSGN                               
049516,001176: 04,3152           40056                           UNIT     BOV                                   
049517,001177: 04,3153           11160                                    COLINEAR                              
049518,001178: 04,3154           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049519,001179: 04,3155           00045                                    36D                                   
049520,001180: 04,3156           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049521,001181: 04,3157           02673                                    GEOMSGN                               
049522,001182: 
049523,001183: 04,3160           52162        COLINEAR           VSR1     GOTO                                  
049524,001184: 04,3161           11154                                    UNITNORM                              
049525,001185: 
049526,001186: 04,3162           75246        HAVENORM           ABVAL    SIGN                                  
049527,001187: 04,3163           02673                                    GEOMSGN                               
049528,001188: 04,3164           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049529,001189: 

Page 1189

049531,001191: 12,2767                                           BANK     12                                    
049532,001192: 12,2000                                           SETLOC   CONICS                                
049533,001193: 12,2000                                           BANK                                           
049534,001194: 
049535,001195: 12,2767                                           COUNT*   $$/CONIC                              
049536,001196: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049537,001197: 12,2770           00003                                    3                                     
049538,001198: 12,2771           00052                                    S2                                    
049539,001199: 12,2772           00001                                    1                                     
049540,001200: 12,2773           77614                           CLEAR                                          
049541,001201: 12,2774           04276                                    360SW                                 
049542,001202: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049543,001203: 12,2776           02732                                    CSTH                                  
049544,001204: 12,2777           44342                           SR1      BDSU                                  
049545,001205: 12,3000           11037                                    D1/4                                  
049546,001206: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049547,001207: 12,3002           02730                                    SNTH                                  
049548,001208: 12,3003           21607                                    6                                     
049549,001209: 12,3004           77671                           DDV                                            #                                PL AT 2
049550,001210: 12,3005           77600                           BOV                                            
049551,001211: 12,3006           25122                                    360CHECK                              
049552,001212: 12,3007           41225                           DSU      DMP                                   
049553,001213: 12,3010           02766                                    COGA                                  #                                PL AT 0
049554,001214: 12,3011           40132                           SL2R     BOV                                   
049555,001215: 12,3012           25122                                    360CHECK                              
049556,001216: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049557,001217: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049558,001218: 12,3015           00155                                    MPAC                                  
049559,001219: 12,3016           02742                                    R1A                                   
049560,001220: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049561,001221: 12,3020           75440                           BMN      SQRT                                  
049562,001222: 12,3021           25205                                    INFINITY                              
049563,001223: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049564,001224: 12,3023           61000                           BOV      TIX,2                                 
049565,001225: 12,3024           25120                                    RESETX2                               
049566,001226: 12,3025           25013                                    WLOOP                                 
049567,001227: 
049568,001228: 12,3026           40065                           BDDV     BOV                                   
049569,001229: 12,3027           11033                                    D1/128                                
049570,001230: 12,3030           25205                                    INFINITY                              
049571,001231: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049572,001232: 12,3032           25205                                    INFINITY                              
049573,001233: 12,3033           77716                           DSQ                                            
049574,001234: 12,3034           41301                           NORM     DMP                                   
049575,001235: 12,3035           00047                                    X1                                    
049576,001236: 12,3036           02742                                    R1A                                   
049577,001237: 12,3037           77457                           SRR*     EXIT                                  
049578,001238: 12,3040           21567                                    0          -10D,1                     
049579,001239: 12,3041           07222                           TC       POLY                                  

Page 1190

049581,001241: 12,3042           00005                           DEC      5          B-14                       
049582,001242: 12,3043           20000 00000                     2DEC     .5                                    
049583,001243: 12,3045           72525 52471                     2DEC     -.166666770                            
049584,001244: 12,3047           03146 15003                     2DEC     .100000392                            
049585,001245: 12,3051           75556 45210                     2DEC     -.071401086                            
049586,001246: 12,3053           01615 13553                     2DEC     .055503292                            
049587,001247: 12,3055           76371 63777                     2DEC     -.047264098                            
049588,001248: 12,3057           01232 27367                     2DEC     .040694204                            
049589,001249: 
049590,001250: 12,3061           06037                           TC       INTPRET                               
049591,001251: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049592,001252: 12,3063           43006                           PUSH     BON                                   
049593,001253: 12,3064           04316                                    360SW                                 
049594,001254: 12,3065           25172                                    TRUE360X                              
049595,001255: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049596,001256: 12,3067           00047                                    X1                                    
049597,001257: 12,3070           53605                           DMP      SRR*                                  
049598,001258: 12,3071           02742                                    R1A                                   
049599,001259: 12,3072           21565                                    0          -12D,1                     
049600,001260: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049601,001261: 12,3074           00041                                    R1                                    
049602,001262: 12,3075           75542                           SR1      SQRT                                  
049603,001263: 12,3076           41306                           ROUND    DMP                                   
049604,001264: 12,3077           77632                           SL4R                                           #                                PL AT 0
049605,001265: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049606,001266: 
049607,001267: 12,3101           60316                           DSQ      NORM                                  
049608,001268: 12,3102           00047                                    X1                                    
049609,001269: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049610,001270: 12,3104           02740                                    P                                     
049611,001271: 12,3105           00041                                    R1                                    
049612,001272: 12,3106           75452                           SL3      SQRT                                  
049613,001273: 12,3107           56405                           DMP      SL3R                                  
049614,001274: 12,3110           02766                                    COGA                                  
049615,001275: 12,3111           14043                           STODL    KEPC1                                 
049616,001276: 12,3112           02742                                    R1A                                   
049617,001277: 12,3113           43021                           BDSU     CLEAR                                 
049618,001278: 12,3114           11035                                    D1/64                                 
049619,001279: 12,3115           04270                                    INFINFLG                              
049620,001280: 12,3116           00045                           STORE    KEPC2                                 
049621,001281: 12,3117           77616                           RVQ                                            
049622,001282: 

Page 1191

049624,001284: 12,3120           77774        RESETX2            AXT,2                                          
049625,001285: 12,3121           00003                                    3                                     
049626,001286: 
049627,001287: 12,3122           51001        360CHECK           SETPD    BPL                                   
049628,001288: 12,3123           00001                                    0D                                    
049629,001289: 12,3124           25127                                    INVRSEQN                              
049630,001290: 12,3125           77614                           SET                                            
049631,001291: 12,3126           04076                                    360SW                                 
049632,001292: 
049633,001293: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
049634,001294: 12,3130           02740                                    P                                     
049635,001295: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
049636,001296: 12,3132           02730                                    SNTH                                  
049637,001297: 12,3133           02766                                    COGA                                  
049638,001298: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
049639,001299: 12,3135           02732                                    CSTH                                  
049640,001300: 12,3136           43202                           SR4      DAD                                   
049641,001301: 12,3137           11043                                    D1/32                                 
049642,001302: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
049643,001303: 12,3141           55301                           NORM     BDDV                                  
049644,001304: 12,3142           00047                                    X1                                    
049645,001305: 12,3143           02730                                    SNTH                                  
049646,001306: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
049647,001307: 12,3145           21174                                    0          -5,1                       
049648,001308: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
049649,001309: 12,3147           14043                           STODL    34D                                   
049650,001310: 12,3150           11041                                    D1/16                                 
049651,001311: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
049652,001312: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
049653,001313: 12,3153           21633                                    TPMODE                                
049654,001314: 12,3154           02742                                    R1A                                   
049655,001315: 12,3155           40405                           DMP      SR4                                   
049656,001316: 12,3156           00043                                    34D                                   
049657,001317: 12,3157           77771                           TAD                                            #                                PL AT 4
049658,001318: 12,3160           75440                           BMN      SQRT                                  
049659,001319: 12,3161           25205                                    INFINITY                              
049660,001320: 12,3162           77615                           DAD                                            #                                PL AT 2
049661,001321: 12,3163           60304                           TIX,2    NORM                                  
049662,001322: 12,3164           25151                                    1/WLOOP                               
049663,001323: 12,3165           00047                                    X1                                    
049664,001324: 12,3166           77665                           BDDV                                           
049665,001325: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
049666,001326: 12,3170           21172                                    0          -7,1                       
049667,001327: 12,3171           25031                                    POLYCOEF                              
049668,001328: 
049669,001329: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
049670,001330: 12,3173           02742                                    R1A                                   

Page 1192

049672,001332: 12,3174           25205                                    INFINITY                              
049673,001333: 12,3175           60366                           SQRT     NORM                                  
049674,001334: 12,3176           00047                                    X1                                    
049675,001335: 12,3177           53665                           BDDV     SL*                                   
049676,001336: 12,3200           11055                                    2PISC                                 
049677,001337: 12,3201           20176                                    0          -3,1                       
049678,001338: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
049679,001339: 12,3203           77650                           GOTO                                           
049680,001340: 12,3204           25066                                    XCOMMON                               
049681,001341: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
049682,001342: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
049683,001343: 12,3207           25210                                    OVFLCLR                               
049684,001344: 12,3210           43414        OVFLCLR            SET      RVQ                                   
049685,001345: 12,3211           04070                                    INFINFLG                              
049686,001346: 

Page 1193

049688,001348: 12,3212           40220        LAMBERT            STQ      SETPD                                 
049689,001349: 12,3213           02710                                    RTNLAMB                               
049690,001350: 12,3214           00001                                    0D                                    
049691,001351: 12,3215           77600                           BOV                                            
049692,001352: 12,3216           25217                                    +1                                    
049693,001353: 12,3217           76614                           CLEAR    VLOAD*                                
049694,001354: 12,3220           02674                                    SOLNSW                                
049695,001355: 12,3221           10005                                    MUTABLE,1                             
049696,001356: 12,3222           14017                           STODL    1/MU                                  
049697,001357: 12,3223           02671                                    TDESIRED                              
049698,001358: 12,3224           77675                           DMPR                                           
049699,001359: 12,3225           11042                                    BEE19                                 
049700,001360: 12,3226           02764                           STORE    EPSILONL                              
049701,001361: 12,3227           77214                           SET      VLOAD                                 
049702,001362: 12,3230           00474                                    SLOPESW                               
049703,001363: 12,3231           02655                                    R1VEC                                 
049704,001364: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
049705,001365: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
049706,001366: 12,3234           11130                                    GEOM                                  
049707,001367: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
049708,001368: 12,3236           02720                                    MAGVEC2                               
049709,001369: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
049710,001370: 12,3240           00047                                    X1                                    
049711,001371: 12,3241           00041                                    R1                                    
049712,001372: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
049713,001373: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
049714,001374: 12,3244           20173                                    0          -6,1                       
049715,001375: 12,3245           77626                           STADR                                          
049716,001376: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
049717,001377: 12,3247           44342                           SR1      BDSU                                  
049718,001378: 12,3250           11037                                    D1/4                                  
049719,001379: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
049720,001380: 
049721,001381: 12,3252           53106                           ROUND    BZE                                   
049722,001382: 12,3253           25463                                    360LAMB                               
049723,001383: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
049724,001384: 12,3255           00047                                    X1                                    
049725,001385: 12,3256           00001                                    0D                                    
049726,001386: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
049727,001387: 12,3260           75457                           SL*      SQRT                                  
049728,001388: 12,3261           20176                                    0          -3,1                       
049729,001389: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
049730,001390: 12,3263           02730                                    SNTH                                  
049731,001391: 12,3264           20607                                    6                                     
049732,001392: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
049733,001393: 12,3266           02734                                    1-CSTH                                
049734,001394: 12,3267           77626                           STADR                                          
049735,001395: 12,3270           77760                           STORE    COGAMAX                               
049736,001396: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
049737,001397: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1194

049739,001399: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
049740,001400: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
049741,001401: 12,3275           11061                                    COGUPLIM                              
049742,001402: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
049743,001403: 12,3277           77745        UPLIM              DLOAD                                          
049744,001404: 12,3300           11061                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
049745,001405: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
049746,001406: 12,3302           77745        MAXCOGA            DLOAD                                          
049747,001407: 12,3303           02732                                    CSTH                                  
049748,001408: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
049749,001409: 12,3305           20607                                    6                                     
049750,001410: 12,3306           77626                           STADR                                          
049751,001411: 12,3307           61041                           STODL    CSTH-RHO                              
049752,001412: 12,3310           02673                                    GEOMSGN                               
049753,001413: 12,3311           71240                           BMN      DLOAD                                 
049754,001414: 12,3312           25503                                    LOLIM                                 
049755,001415: 12,3313           02736                                    CSTH-RHO                              
049756,001416: 12,3314           56352                           SL1      DDV                                   
049757,001417: 12,3315           02730                                    SNTH                                  
049758,001418: 12,3316           77600                           BOV                                            
049759,001419: 12,3317           25503                                    LOLIM                                 
049760,001420: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
049761,001421: 12,3321           66214                           BON      SSP                                   
049762,001422: 12,3322           00715                                    GUESSW                                
049763,001423: 12,3323           25467                                    NOGUESS                               
049764,001424: 12,3324           00051                                    TWEEKIT                               
049765,001425: 12,3325           00001                                    00001                                 
049766,001426: 12,3326           77745                           DLOAD                                          
049767,001427: 12,3327           02766                                    COGA                                  
049768,001428: 
049769,001429: 12,3330           77605        LAMBLOOP           DMP                                            
049770,001430: 12,3331           02730                                    SNTH                                  
049771,001431: 12,3332           45342                           SR1      DSU                                   
049772,001432: 12,3333           02736                                    CSTH-RHO                              
049773,001433: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
049774,001434: 12,3335           00047                                    X1                                    
049775,001435: 12,3336           02734                                    1-CSTH                                
049776,001436: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
049777,001437: 12,3340           20170                                    0          -9D,1                      
049778,001438: 12,3341           53040                           BMN      BZE                                   
049779,001439: 12,3342           25417                                    NEGP                                  
049780,001440: 12,3343           25417                                    NEGP                                  
049781,001441: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
049782,001442: 12,3345           02766                                    COGA                                  
049783,001443: 12,3346           43316                           DSQ      DAD                                   
049784,001444: 12,3347           11045                                    D1/1024                               
049785,001445: 12,3350           41301                           NORM     DMP                                   
049786,001446: 12,3351           00047                                    X1                                    
049787,001447: 12,3352           02740                                    P                                     

Page 1195

049789,001449: 12,3353           44257                           SR*      BDSU                                  
049790,001450: 12,3354           20571                                    0          -8D,1                      
049791,001451: 12,3355           11043                                    D1/32                                 
049792,001452: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
049793,001453: 12,3357           02740                                    P                                     
049794,001454: 12,3360           45000                           BOV      CALL                                  
049795,001455: 12,3361           25422                                    HIENERGY                              
049796,001456: 12,3362           24767                                    GETX                                  
049797,001457: 12,3363           77745                           DLOAD                                          
049798,001458: 12,3364           00037                                    T                                     
049799,001459: 12,3365           16762                           STODL    TPREV                                 
049800,001460: 12,3366           00031                                    XI                                    
049801,001461: 12,3367           45014                           BON      CALL                                  
049802,001462: 12,3370           04310                                    INFINFLG                              
049803,001463: 12,3371           25417                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
049804,001464: 12,3372           24421                                    DELTIME                               
049805,001465: 12,3373           44200                           BOV      BDSU                                  
049806,001466: 12,3374           25437                                    BIGTIME                               
049807,001467: 12,3375           02671                                    TDESIRED                              
049808,001468: 12,3376           02760                           STORE    TERRLAMB                              
049809,001469: 12,3377           44246                           ABS      BDSU                                  
049810,001470: 12,3400           02764                                    EPSILONL                              
049811,001471: 12,3401           47044                           BPL      RTB                                   
049812,001472: 12,3402           25506                                    INITV                                 
049813,001473: 12,3403           24644                                    CHECKCTR                              
049814,001474: 12,3404           45030                           BHIZ     CALL                                  
049815,001475: 12,3405           25450                                    SUFFCHEK                              
049816,001476: 12,3406           24536                                    ITERATOR                              
049817,001477: 12,3407           53145                           DLOAD    BZE                                   
049818,001478: 12,3410           00155                                    MPAC                                  
049819,001479: 12,3411           25450                                    SUFFCHEK                              
049820,001480: 12,3412           77615                           DAD                                            
049821,001481: 12,3413           02766                                    COGA                                  
049822,001482: 12,3414           02766                           STORE    COGA                                  
049823,001483: 12,3415           77650                           GOTO                                           
049824,001484: 12,3416           25330                                    LAMBLOOP                              
049825,001485: 
049826,001486: 12,3417           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
049827,001487: 12,3420           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
049828,001488: 12,3421           25442                                    LOENERGY                              
049829,001489: 
049830,001490: 12,3422           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
049831,001491: 12,3423           00001                                    0                                     
049832,001492: 12,3424           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
049833,001493: 12,3425           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
049834,001494: 12,3426           70545        COMMONLM           DLOAD    SR1                                   
049835,001495: 12,3427           00015                                    DCOGA                                 

Page 1196

049837,001497: 12,3430           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
049838,001498: 12,3431           44254                           BZE      BDSU                                  
049839,001499: 12,3432           25450                                    SUFFCHEK                              
049840,001500: 12,3433           02766                                    COGA                                  
049841,001501: 12,3434           02766                           STORE    COGA                                  
049842,001502: 12,3435           77650                           GOTO                                           #  RESTART THIS LOOP
049843,001503: 12,3436           25330                                    LAMBLOOP                              
049844,001504: 
049845,001505: 12,3437           77745        BIGTIME            DLOAD                                          
049846,001506: 12,3440           02762                                    TPREV                                 
049847,001507: 12,3441           00037                           STORE    T                                     
049848,001508: 
049849,001509: 12,3442           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
049850,001510: 12,3443           00001                                    0                                     
049851,001511: 12,3444           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
049852,001512: 12,3445           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
049853,001513: 12,3446           77650                           GOTO                                           
049854,001514: 12,3447           25426                                    COMMONLM                              
049855,001515: 
049856,001516: 12,3450           51545        SUFFCHEK           DLOAD    ABS                                   
049857,001517: 12,3451           02760                                    TERRLAMB                              
049858,001518: 12,3452           41325                           PDDL     DMP                                   #                                PL AT 2D
049859,001519: 12,3453           02671                                    TDESIRED                              
049860,001520: 12,3454           11030                                    BEE17                                 
049861,001521: 12,3455           45215                           DAD      DSU                                   #                                PL AT 0D
049862,001522: 12,3456           11057                                    ONEBIT                                
049863,001523: 12,3457           43044                           BPL      SETGO                                 
049864,001524: 12,3460           25506                                    INITV                                 
049865,001525: 12,3461           02434                                    SOLNSW                                
049866,001526: 12,3462           25506                                    INITV                                 
049867,001527: 12,3463           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
049868,001528: 12,3464           00001                                    0                                     
049869,001529: 12,3465           02434                                    SOLNSW                                
049870,001530: 12,3466           02710                                    RTNLAMB                               
049871,001531: 
049872,001532: 12,3467           71331        NOGUESS            SSP      DLOAD                                 
049873,001533: 12,3470           00051                                    TWEEKIT                               
049874,001534: 12,3471           10000                                    20000                                 
049875,001535: 12,3472           00011                                    COGAMIN                               
049876,001536: 12,3473           65342                           SR1      PDDL                                  #                                PL AT 2
049877,001537: 12,3474           00017                                    COGAMAX                               
049878,001538: 12,3475           43342                           SR1      DAD                                   
049879,001539: 12,3476           77626                           STADR                                          #                                PL AT 0
049880,001540: 12,3477           75011                           STORE    COGA                                  
049881,001541: 12,3500           00015                           STORE    DCOGA                                 
049882,001542: 12,3501           77650                           GOTO                                           

Page 1197

049884,001544: 12,3502           25330                                    LAMBLOOP                              
049885,001545: 
049886,001546: 12,3503           52145        LOLIM              DLOAD    GOTO                                  
049887,001547: 12,3504           11063                                    COGLOLIM                              #  COGLOLIM=-.999511597
049888,001548: 12,3505           25320                                    MINCOGA                               
049889,001549: 
049890,001550: 12,3506           60345        INITV              DLOAD    NORM                                  
049891,001551: 12,3507           00041                                    R1                                    
049892,001552: 12,3510           00047                                    X1                                    
049893,001553: 12,3511           70525                           PDDL     SR1                                   #                                PL AT 2
049894,001554: 12,3512           02740                                    P                                     
049895,001555: 12,3513           77671                           DDV                                            #                                PL AT 0
049896,001556: 12,3514           75457                           SL*      SQRT                                  
049897,001557: 12,3515           20175                                    0          -4,1                       
049898,001558: 12,3516           72405                           DMP      SL1                                   
049899,001559: 12,3517           00021                                    ROOTMU                                
049900,001560: 12,3520           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
049901,001561: 12,3521           02766                                    COGA                                  
049902,001562: 12,3522           74261                           SL       VXSC                                  
049903,001563: 12,3523           20206                                    5                                     
049904,001564: 12,3524           02722                                    UR1                                   
049905,001565: 12,3525           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
049906,001566: 12,3526           76561                           VXSC     VSL1                                  
049907,001567: 12,3527           02674                                    UN                                    
049908,001568: 12,3530           53235                           VXV      VAD                                   #                                PL AT 0
049909,001569: 12,3531           02722                                    UR1                                   
049910,001570: 12,3532           77772                           VSL1                                           
049911,001571: 12,3533           02744                           STORE    VVEC                                  
049912,001572: 12,3534           53135                           SLOAD    BZE                                   
049913,001573: 12,3535           02702                                    VTARGTAG                              
049914,001574: 12,3536           25541                                    TARGETV                               
049915,001575: 12,3537           77650                           GOTO                                           
049916,001576: 12,3540           02710                                    RTNLAMB                               
049917,001577: 
049918,001578: 12,3541           45145        TARGETV            DLOAD    CALL                                  
049919,001579: 12,3542           02720                                    MAGVEC2                               
049920,001580: 12,3543           24701                                    LAMENTER                              
049921,001581: 12,3544           02703                           STORE    VTARGET                               
049922,001582: 12,3545           77650                           GOTO                                           
049923,001583: 12,3546           02710                                    RTNLAMB                               
049924,001584: 

Page 1198

049926,001586: 12,3547           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
049927,001587: 12,3550           02710                                    RTNTR                                 
049928,001588: 12,3551           00001                                    0                                     
049929,001589: 12,3552           77600                           BOV                                            
049930,001590: 12,3553           25554                                    +1                                    
049931,001591: 12,3554           63375                           VLOAD    PDVL                                  #                                PL AT 6
049932,001592: 12,3555           02655                                    RVEC                                  
049933,001593: 12,3556           02744                                    VVEC                                  
049934,001594: 12,3557           77624                           CALL                                           
049935,001595: 12,3560           11064                                    PARAM                                 
049936,001596: 12,3561           71200                           BOV      DLOAD                                 #                                PL AT 0
049937,001597: 12,3562           24764                                    COGAOVFL                              
049938,001598: 12,3563           11043                                    D1/32                                 
049939,001599: 12,3564           41225                           DSU      DMP                                   
049940,001600: 12,3565           02742                                    R1A                                   
049941,001601: 12,3566           02740                                    P                                     
049942,001602: 12,3567           41366                           SQRT     DMP                                   
049943,001603: 12,3570           02766                                    COGA                                  
049944,001604: 12,3571           74212                           SL4      VXSC                                  
049945,001605: 12,3572           02712                                    U2                                    
049946,001606: 12,3573           45325                           PDDL     DSU                                   #                                PL AT 6
049947,001607: 12,3574           11035                                    D1/64                                 
049948,001608: 12,3575           02742                                    R1A                                   
049949,001609: 12,3576           52361                           VXSC     VSU                                   #                                PL AT 0
049950,001610: 12,3577           02722                                    UR1                                   
049951,001611: 12,3600           53512                           VSL4     UNIT                                  
049952,001612: 12,3601           77600                           BOV                                            
049953,001613: 12,3602           25660                                    CIRCULAR                              
049954,001614: 12,3603           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
049955,001615: 12,3604           02756                                    RDESIRED                              #  36D=ECC (+3)
049956,001616: 12,3605           00047                                    X1                                    
049957,001617: 12,3606           41325                           PDDL     DMP                                   #                                PL AT 8
049958,001618: 12,3607           00041                                    R1                                    
049959,001619: 12,3610           02740                                    P                                     
049960,001620: 12,3611           56257                           SL*      DDV                                   #                                PL AT 6
049961,001621: 12,3612           20201                                    0,1                                   
049962,001622: 12,3613           56225                           DSU      DDV                                   
049963,001623: 12,3614           11041                                    D1/16                                 
049964,001624: 12,3615           00045                                    36D                                   #  36D=ECC (+3)
049965,001625: 12,3616           00031                           STORE    COSF                                  
049966,001626: 12,3617           63400                           BOV      DSQ                                   
049967,001627: 12,3620           25664                                    BADR2                                 
049968,001628: 12,3621           50021                           BDSU     BMN                                   
049969,001629: 12,3622           11037                                    D1/4                                  
049970,001630: 12,3623           25664                                    BADR2                                 
049971,001631: 12,3624           75366                           SQRT     SIGN                                  
049972,001632: 12,3625           02755                                    SGNRDOT                               
049973,001633: 12,3626           77614                           CLEAR                                          
049974,001634: 12,3627           04272                                    APSESW                                

Page 1199

049976,001636: 12,3630           76561        TERMNVEC           VXSC     VSL1                                  
049977,001637: 12,3631           02674                                    UN                                    
049978,001638: 12,3632           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
049979,001639: 12,3633           00001                                    0D                                    
049980,001640: 12,3634           53361                           VXSC     VAD                                   #                                PL AT 0
049981,001641: 12,3635           00031                                    COSF                                  
049982,001642: 12,3636           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
049983,001643: 
049984,001644: 12,3637           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
049985,001645: 12,3640           02722                                    UR1                                   
049986,001646: 12,3641           25756                                    DP1/4                                 
049987,001647: 12,3642           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
049988,001648: 12,3643           25644                                    +1                                    #  CLEAR OVFIND IF SET
049989,001649: 12,3644           26732                           STOVL    CSTH                                  #  CSTH (+1)
049990,001650: 12,3645           02722                                    UR1                                   
049991,001651: 12,3646           76435                           VXV      VSL1                                  
049992,001652: 12,3647           72441                           DOT      SL1                                   
049993,001653: 12,3650           02674                                    UN                                    
049994,001654: 12,3651           16730                           STODL    SNTH                                  #  SNTH (+1)
049995,001655: 12,3652           02740                                    P                                     
049996,001656: 12,3653           77624                           CALL                                           
049997,001657: 12,3654           24767                                    GETX                                  
049998,001658: 12,3655           77614                           CLRGO                                          
049999,001659: 12,3656           02634                                    SOLNSW                                
050000,001660: 12,3657           24747                                    COMMNOUT                              
050001,001661: 
050002,001662: 12,3660           43001        CIRCULAR           SETPD    SETGO                                 
050003,001663: 12,3661           00001                                    0                                     
050004,001664: 12,3662           02434                                    SOLNSW                                
050005,001665: 12,3663           25742                                    ABTCONIC                              
050006,001666: 
050007,001667: 12,3664           75345        BADR2              DLOAD    SIGN                                  
050008,001668: 12,3665           24005                                    LODPHALF                              
050009,001669: 12,3666           00031                                    COSF                                  
050010,001670: 12,3667           14031                           STODL    COSF                                  
050011,001671: 12,3670           24007                                    KEPZERO                               
050012,001672: 12,3671           77614                           SETGO                                          
050013,001673: 12,3672           04032                                    APSESW                                
050014,001674: 12,3673           25630                                    TERMNVEC                              
050015,001675: 

Page 1200

050017,001677: 12,3674           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
050018,001678: 12,3675           02710                                    RTNAPSE                               
050019,001679: 12,3676           00001                                    0D                                    
050020,001680: 12,3677           77600                           BOV                                            
050021,001681: 12,3700           25701                                    +1                                    
050022,001682: 12,3701           63375                           VLOAD    PDVL                                  #                                PL AT 6
050023,001683: 12,3702           02655                                    RVEC                                  
050024,001684: 12,3703           02744                                    VVEC                                  
050025,001685: 12,3704           77624                           CALL                                           
050026,001686: 12,3705           11064                                    PARAM                                 
050027,001687: 12,3706           77600                           BOV                                            #                                PL AT 0
050028,001688: 12,3707           25710                                    GETECC                                
050029,001689: 12,3710           42405        GETECC             DMP      SL4                                   
050030,001690: 12,3711           02742                                    R1A                                   
050031,001691: 12,3712           75421                           BDSU     SQRT                                  
050032,001692: 12,3713           11035                                    D1/64                                 
050033,001693: 12,3714           02752                           STORE    ECC                                   
050034,001694: 12,3715           65215                           DAD      PDDL                                  #                                PL AT 2
050035,001695: 12,3716           11031                                    D1/8                                  
050036,001696: 12,3717           00041                                    R1                                    
050037,001697: 12,3720           72405                           DMP      SL1                                   
050038,001698: 12,3721           02740                                    P                                     
050039,001699: 12,3722           77671                           DDV                                            #                                PL AT 0
050040,001700: 12,3723           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
050041,001701: 12,3724           02742                                    R1A                                   
050042,001702: 12,3725           00047                                    X1                                    
050043,001703: 12,3726           53725                           PDDL     SL*                                   #                                PL AT 4
050044,001704: 12,3727           00041                                    R1                                    
050045,001705: 12,3730           20174                                    0          -5,1                       
050046,001706: 12,3731           45271                           DDV      DSU                                   #                                PL AT 2,0
050047,001707: 12,3732           50000                           BOV      BMN                                   
050048,001708: 12,3733           25737                                    INFINAPO                              
050049,001709: 12,3734           25737                                    INFINAPO                              
050050,001710: 12,3735           77650                           GOTO                                           
050051,001711: 12,3736           02710                                    RTNAPSE                               
050052,001712: 12,3737           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050053,001713: 12,3740           24020                                    LDPOSMAX                              
050054,001714: 12,3741           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050055,001715: 

Page 1201

050057,001717: 12,3742           77776        ABTCONIC           EXIT                                           
050058,001718: 12,3743           05652                           TC       POODOO                                
050059,001719: 12,3744           00607                           OCT      00607                                 
050060,001720: 

Page 1202

050062,001722: 12,3745  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050063,001723: 
050064,001724:                                                                                                  #  ERASABLE ASSIGNMENTS
050065,001725: 
050066,001726:                                                                                                  #  KEPLER SUBROUTINE
050067,001727: 
050068,001728:                                                                                                  #        INPUT -
050069,001729:                                                                                                  #  RRECT         ERASE   +5
050070,001730:                                                                                                  #  VRECT         ERASE   +5
050071,001731:                                                                                                  #  TAU.          ERASE   +1

Handwritten "NEW" next to XKEP.

050073,001733:                                                                                                  #  XKEP          ERASE   +1
050074,001734:                                                                                                  #  TC            ERASE   +1
050075,001735:                                                                                                  #  XPREV         ERASE   +1
050076,001736: 12,3745                        1/MU               EQUALS   14D                                   
050077,001737: 12,3745                        ROOTMU             EQUALS   16D                                   
050078,001738: 12,3745                        1/ROOTMU           EQUALS   18D                                   
050079,001739: 
050080,001740:                                                                                                  #        OUTPUT -
050081,001741:                                                                                                  #  RCV           ERASE   +5
050082,001742:                                                                                                  #  VCV           ERASE   +5

The beginning of the next line is garbled, but I believe that it is RC with a hand-written correction to TC — RSB, 2016.

050084,001744:                                                                                                  #  RC            ERASE   +1
050085,001745:                                                                                                  #  XPREV         ERASE   +1
050086,001746: 
050087,001747:                                                                                                  #        DEBRIS -
050088,001748: 12,3745                        ALPHA              EQUALS   8D                                    
050089,001749: 12,3745                        XMAX               EQUALS   10D                                   
050090,001750: 12,3745                        XMIN               EQUALS   12D                                   
050091,001751: 12,3745                        X                  EQUALS   20D                                   
050092,001752: 12,3745                        XI                 EQUALS   24D                                   
050093,001753: 12,3745                        S(XI)              EQUALS   26D                                   
050094,001754: 12,3745                        XSQC(XI)           EQUALS   28D                                   
050095,001755: 12,3745                        T                  EQUALS   30D                                   
050096,001756: 12,3745                        R1                 EQUALS   32D                                   
050097,001757: 12,3745                        KEPC1              EQUALS   34D                                   
050098,001758: 12,3745                        KEPC2              EQUALS   36D                                   
050099,001759:                                                                                                  #  DELX          ERASE   +1
050100,001760:                                                                                                  #  DELT          ERASE   +1
050101,001761:                                                                                                  #  URRECT        ERASE   +5
050102,001762:                                                                                                  #  RCNORM        ERASE   +1
050103,001763:                                                                                                  #  XPREV         EQUALS  XKEP
050104,001764: 
050105,001765: 
050106,001766:                                                                                                  #  LAMBERT SUBROUTINE
050107,001767: 
050108,001768:                                                                                                  #        INPUT -
050109,001769:                                                                                                  #  R1VEC         ERASE   +5
050110,001770:                                                                                                  #  R2VEC         ERASE   +5
050111,001771:                                                                                                  #  TDESIRED      ERASE   +1
050112,001772:                                                                                                  #  GEOMSGN       ERASE   +0
050113,001773:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT

Page 1203

050115,001775:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
050116,001776:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050117,001777:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
050118,001778:                                                                                                  #  VTARGTAG      ERASE   +0
050119,001779:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
050120,001780: 
050121,001781:                                                                                                  #        OUTPUT -
050122,001782:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
050123,001783:                                                                                                  #  V1VEC         EQUALS  MPAC
050124,001784: 
050125,001785:                                                                                                  #        DEBRIS -
050126,001786:                                                                                                  #  RTNLAMB       ERASE   +0
050127,001787:                                                                                                  #  U2            ERASE   +5
050128,001788:                                                                                                  #  MAGVEC2       ERASE   +1
050129,001789:                                                                                                  #  UR1           ERASE   +5

There is a hand-written 32D to the right of the next line.

050131,001791:                                                                                                  #  R1            EQUALS  31D
050132,001792:                                                                                                  #  UN            ERASE   +5
050133,001793:                                                                                                  #  SNTH          ERASE   +1
050134,001794:                                                                                                  #  CSTH          ERASE   +1
050135,001795:                                                                                                  #  1-CSTH        ERASE   +1
050136,001796:                                                                                                  #  CSTH-RHO      ERASE   +1
050137,001797: 12,3745                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050138,001798: 12,3745                        COGAMIN            EQUALS   8D                                    
050139,001799: 12,3745                        DCOGA              EQUALS   12D                                   
050140,001800:                                                                                                  #  TWEEKIT       EQUALS  40D
050141,001801:                                                                                                  #  P             ERASE   +1
050142,001802:                                                                                                  #  COGA          ERASE   +1
050143,001803:                                                                                                  #  R1A           ERASE   +1
050144,001804:                                                                                                  #  X             EQUALS  20D
050145,001805:                                                                                                  #  XSQ           EQUALS  22D
050146,001806:                                                                                                  #  XI            EQUALS  24D
050147,001807:                                                                                                  #  S(XI)         EQUALS  26D
050148,001808:                                                                                                  #  XSQC(XI)      EQUALS  28D
050149,001809:                                                                                                  #  T             EQUALS  30D
050150,001810:                                                                                                  #  KEPC1         EQUALS  34D
050151,001811:                                                                                                  #  KEPC2         EQUALS  36D
050152,001812:                                                                                                  #  SLOPESW
050153,001813:                                                                                                  #  SOLNSW
050154,001814: 
050155,001815:                                                                                                  #        OTHERS -
050156,001816:                                                                                                  #  RVEC          EQUALS  R1VEC
050157,001817:                                                                                                  #  VVEC          ERASE   +5
050158,001818:                                                                                                  #  COGAFLAG
050159,001819:                                                                                                  #  RVSW
050160,001820:                                                                                                  #  INFINFLG
050161,001821:                                                                                                  #  APSESW
050162,001822:                                                                                                  #  360SW
050163,001823:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
050164,001824:                                                                                                  #  ECC           ERASE   +1
050165,001825:                                                                                                  #  RTNTR         EQUALS  RTNLAMB

Page 1204

050167,001827:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
050168,001828:                                                                                                  #  R2            EQUALS  MAGVEC2
050169,001829: 12,3745                        COSF               EQUALS   24D                                   
050170,001830:                                                                                                  #  RTNPRM        ERASE   +0
050171,001831:                                                                                                  #  SGNRDOT       ERASE   +0
050172,001832:                                                                                                  #  RDESIRED      ERASE   +1
050173,001833: 
050174,001834: 
050175,001835:                                                                                                  #  ITERATOR SUBROUTINE
050176,001836:                                                                                                  #  ORDERSW
050177,001837: 12,3745                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050178,001838: 12,3745                        MIN                EQUALS   8D                                    

"E5,1765" is hand-written next to the following.

050180,001840:                                                                                                  #  INDEP         ERASE   +1
050181,001841: 12,3745                        DELINDEP           EQUALS   12D                                   
050182,001842: 12,3745                        ITERCTR            EQUALS   22D                                   
050183,001843: 12,3745                        DEP                EQUALS   30D                                   

"E5,1757" is hand-written next to the following.

050185,001845:                                                                                                  #  DELDEP        ERASE   +1

"E5,1761" is hand-written next to the following.

050187,001847:                                                                                                  #  DEPREV        ERASE   +1
050188,001848: 12,3745                        TWEEKIT            EQUALS   40D                                   
050189,001849: 
050190,001850: 
050191,001851:                                                                                                  #  MORE KEPLER
050192,001852:                                                                                                  #  EPSILONT      ERASE   +1
050193,001853: 
050194,001854: 
050195,001855:                                                                                                  #  MORE LAMBERT
050196,001856:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
050197,001857:                                                                                                  #  TPREV         EQUALS  DEPREV
050198,001858: 
050199,001859:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD

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