Source Code

These source-code files are part of a reconstructed copy of Comanche 44, the initial release (though not the final mission release) of the Apollo 10 Command Module (CM) Apollo Guidance Computer (AGC) software. Subsequent releases were Comanche 45 and Comanche 45/2 (the flown release on Apollo 10). The reconstruction is believed to be exactly accurate, but in the absence of an actual Apollo-era listing of Comanche 44, some explanation of the reconstruction process is needed to insure confidence in that accuracy.

The starting point was the source code of Comanche 51 (separately previously reconstructed from an Apollo-era listing of Comanche 55, flown on Apollo 11). Comanche 51 source code was then modified by undoing changes known to have been made between revisions 44 and 51. The now-reconstructed Comanche 44 source code was verified by assembling it and checking that the assembled code had the expected known-correct memory-bank checksums. Note that page numbers in the reconstructed code match those on the Comanche 55 printout, although the source code would likely have different page numbers in a contemporary Comanche 44 listing.

Annotations that were not present in the contemporary source code have been added to the reconstructed code to justify each change relative to Comanche 51. Here's a guide to the Apollo documentation referenced in those annotations:
In most cases, only the titles (rather than the full texts) of PCRs are known. In addition to the explanatory annotations, there is also a step-by-step commentary about the reconstruction process.

Comments expected to have been present in 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.

054211,000002:                                                                                                  ## Copyright:   Public domain.
054212,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
054213,000004:                                                                                                  ## Purpose:     A section of Comanche revision 044.
054214,000005:                                                                                                  ##              It is part of the reconstructed source code for the
054215,000006:                                                                                                  ##              original release of the flight software for the Command
054216,000007:                                                                                                  ##              Module's (CM) Apollo Guidance Computer (AGC) for Apollo 10.
054217,000008:                                                                                                  ##              The code has been recreated from a copy of Comanche 055. It
054218,000009:                                                                                                  ##              has been adapted such that the resulting bugger words
054219,000010:                                                                                                  ##              exactly match those specified for Comanche 44 in NASA drawing
054220,000011:                                                                                                  ##              2021153D, which gives relatively high confidence that the
054221,000012:                                                                                                  ##              reconstruction is correct.
054222,000013:                                                                                                  ## Assembler:   yaYUL
054223,000014:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
054224,000015:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
054225,000016:                                                                                                  ## Mod history: 2020-12-03 MAS  Created from Comanche 51.
054226,000017: 

Page 1262

054228,000019:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
054229,000020:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
054230,000021:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
054231,000022: 
054232,000023:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054233,000024:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
054234,000025:                                                                                                  #        INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
054235,000026:                                                                                                  #        5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
054236,000027:                                                                                                  #        RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
054237,000028:                                                                                                  #        INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
054238,000029:                                                                                                  #        EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
054239,000030:                                                                                                  #        THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
054240,000031:                                                                                                  #        DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
054241,000032:                                                                                                  #        TINES APPROPRIATELY.
054242,000033: 
054243,000034:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
054244,000035:                                                                                                  #        BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
054245,000036:                                                                                                  #        DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
054246,000037: 
054247,000038:                                                                                                  #  RESTRICTIONS -
054248,000039:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
054249,000040:                                                                                                  #        LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
054250,000041:                                                                                                  #        TORIES COULD BE HANDLED.
054251,000042: 
054252,000043:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
054253,000044:                                                                                                  #        THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
054254,000045:                                                                                                  #        TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
054255,000046: 

Page 1263

054257,000048:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
054258,000049:                                                                                                  #  MOD NO. - 1                                                   LOG SECTION - CONIC SUBROUTINES
054259,000050:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
054260,000051:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
054261,000052:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
054262,000053:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
054263,000054: 
054264,000055:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054265,000056:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
054266,000057:                                                                                                  #        BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
054267,000058:                                                                                                  #        SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
054268,000059:                                                                                                  #        USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
054269,000060:                                                                                                  #        INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
054270,000061:                                                                                                  #        TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
054271,000062: 
054272,000063:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
054273,000064:                                                                                                  #        EXTRAPOLATING THE POSITION BACKWARD IN TIME.
054274,000065: 
054275,000066:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A 
054276,000067:                                                                                                  #        MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
054277,000068: 
054278,000069:                                                                                                  #  THE RESTRICTIONS ARE -
054279,000070:                                                                                                  #        1.      (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
054280,000071:                                                                                                  #        2.      THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
054281,000072:                                                                                                  #                ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
054282,000073: 
054283,000074:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
054284,000075:                                                                                                  #        GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
054285,000076:                                                                                                  #        FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
054286,000077: 
054287,000078:                                                                                                  #  REFERENCES -
054288,000079:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
054289,000080:                                                                                                  #        MEMO 67-4.
054290,000081: 
054291,000082:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
054292,000083:                                                                                                  #                * SCALE FACTOR *
054293,000084:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054294,000085:                                                                                                  #        --------*--------------*                         -----------------------
054295,000086:                                                                                                  #        RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
054296,000087:                                                                                                  #                * +27 FOR MOON *

Page 1264

054298,000089:                                                                                                  #        VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
054299,000090:                                                                                                  #                * +5 FOR MOON  *
054300,000091:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
054301,000092:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
054302,000093:                                                                                                  #        TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
054303,000094:                                                                                                  #                *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
054304,000095:                                                                                                  #        XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS).SIGN SHOULD AGREE WITH THAT OF TAU.
054305,000096:                                                                                                  #                * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
054306,000097:                                                                                                  #                *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
054307,000098:                                                                                                  #                *              *    BY KEPLER TO A POOR BUT VALID GUESS.
054308,000099:                                                                                                  #        TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS. MUST BE LESS THAN ONE ORBITAL PERIOD.
054309,000100:                                                                                                  #        XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
054310,000101:                                                                                                  #                * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
054311,000102: 
054312,000103:                                                                                                  #  SUBROUTINES CALLED -
054313,000104:                                                                                                  #        DELTIME
054314,000105: 
054315,000106:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
054316,000107:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054317,000108:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC.  PL IS AT 0.
054318,000109:                                                                                                  #        KEPRTN          ...                     CONTINUE
054319,000110: 
054320,000111:                                                                                                  #        KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
054321,000112:                                                                                                  #        THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
054322,000113:                                                                                                  #        ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
054323,000114: 
054324,000115:                                                                                                  #  ABORT EXIT MODES -
054325,000116:                                                                                                  #        NONE
054326,000117: 
054327,000118:                                                                                                  #  OUTPUT -
054328,000119:                                                                                                  #                * SCALE FACTOR *
054329,000120:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054330,000121:                                                                                                  #        --------*--------------*                         -----------------------
054331,000122:                                                                                                  #        RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
054332,000123:                                                                                                  #                * +27 FOR MOON *
054333,000124:                                                                                                  #        VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
054334,000125:                                                                                                  #                * +5 FOR MOON  *
054335,000126:                                                                                                  #        TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.  ALWAYS LESS THAN ONE PERIOD.
054336,000127:                                                                                                  #        XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
054337,000128:                                                                                                  #                * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1265

054339,000130:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
054340,000131: 
054341,000132:                                                                                                  #  DEBRIS -
054342,000133:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054343,000134:                                                                                                  #                * SCALE FACTOR *
054344,000135:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054345,000136:                                                                                                  #        --------*--------------*                         -----------------------
054346,000137:                                                                                                  #        URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
054347,000138:                                                                                                  #        R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
054348,000139:                                                                                                  #                * +27 FOR MOON *
054349,000140:                                                                                                  #        ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
054350,000141:                                                                                                  #                * -20 FOR MOON *
054351,000142:                                                                                                  #        TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
054352,000143:                                                                                                  #                *              *TAU. OF LESS THAN ONE PERIOD.
054353,000144: 
054354,000145:                                                                                                  #  PARAMETERS OF NO USE -
054355,000146:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
054356,000147: 

Page 1266

054358,000149:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
054359,000150:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
054360,000151:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
054361,000152: 
054362,000153:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054363,000154:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
054364,000155:                                                                                                  #        FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
054365,000156:                                                                                                  #        A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
054366,000157:                                                                                                  #        SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
054367,000158:                                                                                                  #        CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
054368,000159:                                                                                                  #        UTILIZED IN THE COMPUTATION.
054369,000160: 
054370,000161:                                                                                                  #  THE RESTRICTIONS ARE -
054371,000162:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
054372,000163:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
054373,000164:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
054374,000165:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
054375,000166:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
054376,000167:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
054377,000168:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
054378,000169: 
054379,000170:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
054380,000171:                                                                                                  #        GUESS OF THE INDEPENDENT VARIABLE, COGA.                           THE AGC COMPUTATION TIME IS APPROXIMATE-
054381,000172:                                                                                                  #        LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
054382,000173: 
054383,000174:                                                                                                  #  REFERENCES -
054384,000175:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
054385,000176:                                                                                                  #        SGA MEMO 67-4.
054386,000177: 
054387,000178:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
054388,000179:                                                                                                  #                * SCALE FACTOR *
054389,000180:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054390,000181:                                                                                                  #        --------*--------------*                         -----------------------
054391,000182:                                                                                                  #        R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
054392,000183:                                                                                                  #                * +27 FOR MOON *
054393,000184:                                                                                                  #        R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
054394,000185:                                                                                                  #                * +27 FOR MOON *
054395,000186:                                                                                                  #        TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
054396,000187:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
054397,000188:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
054398,000189:                                                                                                  #        GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
054399,000190:                                                                                                  #        GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1267

054401,000192:                                                                                                  #                *              *COGA IS TO BE USED BY LAMBERT
054402,000193:                                                                                                  #        COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
054403,000194:                                                                                                  #                               *IGNORED IF GUESSW IS SET.
054404,000195:                                                                                                  #        NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
054405,000196:                                                                                                  #                *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
054406,000197:                                                                                                  #        UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
054407,000198:                                                                                                  #                *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
054408,000199:                                                                                                  #        VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
054409,000200:                                                                                                  #                *              *AT R1VEC.
054410,000201: 
054411,000202:                                                                                                  #  SUBROUTINES CALLED -
054412,000203:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
054413,000204: 
054414,000205:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
054415,000206:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054416,000207:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
054417,000208:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
054418,000209:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
054419,000210:                                                                                                  #        L+3             SOLNSW
054420,000211:                                                                                                  #        L+4             LAMABORT
054421,000212: 
054422,000213:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
054423,000214:                                                                                                  #        GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
054424,000215: 
054425,000216:                                                                                                  #  ABORT EXIT MODES -
054426,000217:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
054427,000218:                                                                                                  #        WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
054428,000219:                                                                                                  #        ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
054429,000220:                                                                                                  #        LAMABORT        DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
054430,000221:                                                                                                  #                                1-CSTH          360 DEGREES.
054431,000222:                                                                                                  #                        DSU     BMN
054432,000223:                                                                                                  #                                ONEBIT
054433,000224:                                                                                                  #                                CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
054434,000225:                                                                                                  #                        DLOAD   DAD
054435,000226:                                                                                                  #                                TDESIRED
054436,000227:                                                                                                  #                                SOMETIME
054437,000228:                                                                                                  #                        STCALL  TDESIRED        INCREASE TDESIRED
054438,000229:                                                                                                  #                                LAMBERT
054439,000230: 
054440,000231:                                                                                                  #  OUTPUT -
054441,000232:                                                                                                  #                * SCALE FACTOR *
054442,000233:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS

Page 1268

054444,000235:                                                                                                  #        --------*--------------*                         -----------------------
054445,000236:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
054446,000237:                                                                                                  #                * +5 FOR MOON  *PROBLEM.
054447,000238:                                                                                                  #        VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
054448,000239:                                                                                                  #                * +5 FOR MOON  *
054449,000240:                                                                                                  #        SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
054450,000241:                                                                                                  #                *              *SOLUTION EXISTS.
054451,000242: 
054452,000243:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
054453,000244: 
054454,000245:                                                                                                  #  DEBRIS -
054455,000246:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054456,000247:                                                                                                  #                * SCALE FACTOR *
054457,000248:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054458,000249:                                                                                                  #        --------*--------------*                         -----------------------
054459,000250:                                                                                                  #        SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
054460,000251:                                                                                                  #        CSTH    * +1           *DP COSINE OF ANGLE
054461,000252:                                                                                                  #        1-CSTH  * +2           *DP 1-CSTH
054462,000253:                                                                                                  #        COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
054463,000254:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
054464,000255:                                                                                                  #        R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
054465,000256:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
054466,000257:                                                                                                  #                * +27 FOR MOON *
054467,000258:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF R1VEC
054468,000259:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF R2VEC
054469,000260: 
054470,000261:                                                                                                  #        PARAMETERS OF NO USE
054471,000262:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
054472,000263:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
054473,000264: 

Page 1269

054475,000266:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
054476,000267:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
054477,000268:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
054478,000269: 
054479,000270:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054480,000271:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
054481,000272:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
054482,000273:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
054483,000274:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
054484,000275:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
054485,000276:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
054486,000277: 
054487,000278:                                                                                                  #  THE RESTRICTIONS ARE -
054488,000279:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
054489,000280:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
054490,000281:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
054491,000282:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
054492,000283: 
054493,000284:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
054494,000285: 
054495,000286:                                                                                                  #  REFERENCES -
054496,000287:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
054497,000288: 
054498,000289:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
054499,000290:                                                                                                  #                * SCALE FACTOR *
054500,000291:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054501,000292:                                                                                                  #        --------*--------------*                         -----------------------
054502,000293:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
054503,000294:                                                                                                  #                * +27 FOR MOON *
054504,000295:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
054505,000296:                                                                                                  #                * +5 FOR MOON  *
054506,000297:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
054507,000298:                                                                                                  #        CSTH    * +1           *DP COSINE OF THE ANGLE
054508,000299:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
054509,000300:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
054510,000301:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
054511,000302:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
054512,000303: 
054513,000304:                                                                                                  #  SUBROUTINES CALLED -

Page 1270

054515,000306:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
054516,000307: 
054517,000308:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
054518,000309:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
054519,000310:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054520,000311:                                                                                                  #        L+1             RVSW
054521,000312:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
054522,000313:                                                                                                  #        L+3     ...                     CONTINUE
054523,000314: 
054524,000315:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
054525,000316:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054526,000317:                                                                                                  #        L+1             RVSW
054527,000318:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
054528,000319:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
054529,000320:                                                                                                  #        L+3     STOVL   NEWVVEC
054530,000321:                                                                                                  #        L+4     STADR
054531,000322:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
054532,000323:                                                                                                  #        L+6     ...                     CONTINUE
054533,000324: 
054534,000325:                                                                                                  #  ABORT EXIT MODES -
054535,000326:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
054536,000327:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
054537,000328: 
054538,000329:                                                                                                  #  OUTPUT -
054539,000330:                                                                                                  #                * SCALE FACTOR *
054540,000331:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054541,000332:                                                                                                  #        --------*--------------*                         -----------------------
054542,000333:                                                                                                  #        T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
054543,000334:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
054544,000335:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
054545,000336:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
054546,000337:                                                                                                  #                *              *CLEAR IF NOT.
054547,000338: 
054548,000339:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
054549,000340:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
054550,000341:                                                                                                  #         MPAC +5* +5 FOR MOON  *
054551,000342:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
054552,000343:                                                                                                  #                * +27 FOR MOON *
054553,000344: 
054554,000345:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.

Page 1271

054556,000347: 
054557,000348:                                                                                                  #  DEBRIS -
054558,000349:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054559,000350:                                                                                                  #                * SCALE FACTOR *
054560,000351:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054561,000352:                                                                                                  #        --------*--------------*                         -----------------------
054562,000353:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
054563,000354:                                                                                                  #                * +27 FOR MOON *
054564,000355:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
054565,000356:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
054566,000357:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
054567,000358:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
054568,000359:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
054569,000360:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
054570,000361: 
054571,000362:                                                                                                  #  PARAMETERS OF NO USE -
054572,000363:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
054573,000364:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
054574,000365: 

Page 1272

054576,000367:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
054577,000368:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
054578,000369:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
054579,000370: 
054580,000371:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054581,000372:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
054582,000373:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
054583,000374:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
054584,000375:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
054585,000376:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
054586,000377:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
054587,000378: 
054588,000379:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
054589,000380:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
054590,000381: 
054591,000382:                                                                                                  #  THE RESTRICTIONS ARE -
054592,000383:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
054593,000384:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
054594,000385:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
054595,000386:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
054596,000387:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
054597,000388:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
054598,000389:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
054599,000390: 
054600,000391:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
054601,000392: 
054602,000393:                                                                                                  #  REFERENCES -
054603,000394:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
054604,000395: 
054605,000396:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
054606,000397:                                                                                                  #                * SCALE FACTOR *
054607,000398:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054608,000399:                                                                                                  #        --------*--------------*                         -----------------------
054609,000400:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
054610,000401:                                                                                                  #                * +27 FOR MOON *
054611,000402:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
054612,000403:                                                                                                  #                * +5 FOR MOON  *
054613,000404:                                                                                                  #        RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
054614,000405:                                                                                                  #                * +27 FOR MOON *COMPUTED.
054615,000406:                                                                                                  #        SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
054616,000407:                                                                                                  #                *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1273

054618,000409:                                                                                                  #                *              *SINGLE-VALUED PROBLEM.
054619,000410:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
054620,000411:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
054621,000412:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
054622,000413:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
054623,000414: 
054624,000415:                                                                                                  #  SUBROUTINES CALLED -
054625,000416:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
054626,000417: 
054627,000418:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
054628,000419:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
054629,000420:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054630,000421:                                                                                                  #        L+1             RVSW
054631,000422:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
054632,000423:                                                                                                  #        L+3     ...                     CONTINUE
054633,000424: 
054634,000425:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
054635,000426:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054636,000427:                                                                                                  #        L+1             RVSW
054637,000428:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
054638,000429:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
054639,000430:                                                                                                  #        L+3     STOVL   NEWVVEC
054640,000431:                                                                                                  #        L+4     STADR
054641,000432:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
054642,000433:                                                                                                  #        L+6     ...                     CONTINUE
054643,000434: 
054644,000435:                                                                                                  #  ABORT EXIT MODES -
054645,000436:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
054646,000437:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 & 721)
054647,000438: 
054648,000439:                                                                                                  #  OUTPUT -
054649,000440:                                                                                                  #                * SCALE FACTOR *
054650,000441:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054651,000442:                                                                                                  #        --------*--------------*                         -----------------------
054652,000443:                                                                                                  #        T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
054653,000444:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
054654,000445:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
054655,000446:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
054656,000447:                                                                                                  #                *              *CLEAR IF NOT.
054657,000448:                                                                                                  #        APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1274

054659,000450:                                                                                                  #                *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
054660,000451:                                                                                                  #                *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
054661,000452:                                                                                                  #                *              *APOCENTER.
054662,000453:                                                                                                  #        SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
054663,000454:                                                                                                  #                               *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
054664,000455:                                                                                                  #                               *MINUS-18, THE SWITCH IS CLEAR.
054665,000456: 
054666,000457:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
054667,000458:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
054668,000459:                                                                                                  #         MPAC +5* +5 FOR MOON  *
054669,000460:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
054670,000461:                                                                                                  #                * +27 FOR MOON *
054671,000462: 
054672,000463:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
054673,000464: 
054674,000465:                                                                                                  #  DEBRIS -
054675,000466:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054676,000467:                                                                                                  #                * SCALE FACTOR *
054677,000468:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054678,000469:                                                                                                  #        --------*--------------*                         -----------------------
054679,000470:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
054680,000471:                                                                                                  #                * +27 FOR MOON *
054681,000472:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
054682,000473:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
054683,000474:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
054684,000475:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
054685,000476:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
054686,000477:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
054687,000478:                                                                                                  #        CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
054688,000479:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
054689,000480: 
054690,000481:                                                                                                  #        PARAMETERS OF NO USE -
054691,000482:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
054692,000483:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
054693,000484: 
054694,000485: 

Page 1275

054696,000487:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
054697,000488:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
054698,000489:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
054699,000490: 
054700,000491:                                                                                                  #  FUNCTIONAL DESCRIPTION -
054701,000492:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
054702,000493:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
054703,000494:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
054704,000495:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
054705,000496:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
054706,000497: 
054707,000498:                                                                                                  #  THE RESTRICTIONS ARE -
054708,000499:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
054709,000500:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
054710,000501:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
054711,000502:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
054712,000503: 
054713,000504:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
054714,000505: 
054715,000506:                                                                                                  #  REFERENCES -
054716,000507:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
054717,000508: 
054718,000509:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
054719,000510:                                                                                                  #                * SCALE FACTOR *
054720,000511:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054721,000512:                                                                                                  #        --------*--------------*                         -----------------------
054722,000513:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
054723,000514:                                                                                                  #                * +27 FOR MOON *
054724,000515:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
054725,000516:                                                                                                  #                * +5 FOR MOON  *
054726,000517:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
054727,000518:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
054728,000519: 
054729,000520:                                                                                                  #  SUBROUTINES CALLED -
054730,000521:                                                                                                  #        PARAM, GEOM
054731,000522: 
054732,000523:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1276

054734,000525:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
054735,000526:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
054736,000527:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
054737,000528:                                                                                                  #        L+2     STODL   APOAPSE
054738,000529:                                                                                                  #        L+3             0D
054739,000530:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
054740,000531:                                                                                                  #        L+5     ...                     CONTINUE
054741,000532: 
054742,000533:                                                                                                  #  OUTPUT -
054743,000534:                                                                                                  #                * SCALE FACTOR *
054744,000535:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054745,000536:                                                                                                  #        --------*--------------*                         -----------------------
054746,000537:                                                                                                  #        MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
054747,000538:                                                                                                  #                * +27 FOR MOON *
054748,000539:                                                                                                  #        0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
054749,000540:                                                                                                  #                * +27 FOR MOON *
054750,000541:                                                                                                  #        ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
054751,000542: 
054752,000543:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
054753,000544: 
054754,000545:                                                                                                  #  DEBRIS -
054755,000546:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
054756,000547:                                                                                                  #                * SCALE FACTOR *
054757,000548:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
054758,000549:                                                                                                  #        --------*--------------*                         -----------------------
054759,000550:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
054760,000551:                                                                                                  #                * +27 FOR MOON *
054761,000552:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
054762,000553:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
054763,000554:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
054764,000555:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
054765,000556:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
054766,000557:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
054767,000558:                                                                                                  #        MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
054768,000559:                                                                                                  #                * +5 FOR MOON  *
054769,000560: 
054770,000561:                                                                                                  #        PARAMETERS OF NO USE -
054771,000562:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
054772,000563:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
054773,000564: 
054774,000565: 12,2000                                           SETLOC   CONICS                                

Page 1277

054776,000567: 12,2000                                           BANK                                           
054777,000568: 
054778,000569: 12,2042                                           COUNT    12/CONIC                              
054779,000570: 
054780,000571: 12,2042  E5,1723                                  EBANK=   UR1                                   
054781,000572: 12,2042           40001        KEPLERN            SETPD    BOV                                   
054782,000573: 12,2043           00001                                    0                                     
054783,000574: 12,2044           24045                                    +1                                    
054784,000575: 12,2045           77773                           VLOAD*                                         
054785,000576: 12,2046           11735                                    MUTABLE,1                             
054786,000577: 12,2047           24017                           STOVL    14D                                   
054787,000578: 12,2050           01503                                    RRECT                                 
054788,000579: 12,2051           66256                           UNIT     SSP                                   
054789,000580: 12,2052           00027                                    ITERCTR                               
054790,000581: 12,2053           00024                                    20D                                   
054791,000582: 12,2054           16647                           STODL    URRECT                                
054792,000583: 12,2055           00045                                    36D                                   
054793,000584: 12,2056           24041                           STOVL    R1                                    
054794,000585: 12,2057           01503                                    RRECT                                 
054795,000586: 12,2060           76441                           DOT      SL1R                                  
054796,000587: 12,2061           01511                                    VRECT                                 
054797,000588: 12,2062           76405                           DMP      SL1R                                  
054798,000589: 12,2063           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
054799,000590: 12,2064           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
054800,000591: 
054801,000592: 12,2065           01511                                    VRECT                                 
054802,000593: 12,2066           57236                           VSQ      DMPR                                  
054803,000594: 12,2067           00017                                    1/MU                                  #  1/MU (-34 OR -28)
054804,000595: 12,2070           52405                           DMP      SL3                                   
054805,000596: 12,2071           00041                                    R1                                    
054806,000597: 12,2072           61425                           DSU      ROUND                                 
054807,000598: 12,2073           11605                                    D1/64                                 
054808,000599: 12,2074           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
054809,000600: 
054810,000601: 12,2075           74421                           BDSU     SR1R                                  
054811,000602: 12,2076           11605                                    D1/64                                 
054812,000603: 12,2077           77671                           DDV                                            
054813,000604: 12,2100           00041                                    R1                                    
054814,000605: 12,2101           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
054815,000606: 
054816,000607: 12,2102           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
054817,000608: 12,2103           24112                                    1REV                                  
054818,000609: 12,2104           11623                                    -50SC                                 #  -50SC (+12)
054819,000610: 12,2105           40071                           DDV      BOV                                   
054820,000611: 12,2106           00011                                    ALPHA                                 
054821,000612: 12,2107           24116                                    STOREMAX                              
054822,000613: 12,2110           52166                           SQRT     GOTO                                  
054823,000614: 12,2111           24116                                    STOREMAX                              

Page 1278

054825,000616: 12,2112           55366        1REV               SQRT     BDDV                                  
054826,000617: 12,2113           11625                                    2PISC                                 #  2PISC (+6)
054827,000618: 12,2114           77600                           BOV                                            
054828,000619: 12,2115           24116                                    STOREMAX                              
054829,000620: 12,2116           00013        STOREMAX           STORE    XMAX                                  
054830,000621: 12,2117           65205                           DMP      PDDL                                  
054831,000622: 12,2120           00023                                    1/ROOTMU                              
054832,000623: 12,2121           00011                                    ALPHA                                 
054833,000624: 12,2122           65301                           NORM     PDDL                                  
054834,000625: 12,2123           00047                                    X1                                    
054835,000626: 12,2124           56257                           SL*      DDV                                   
054836,000627: 12,2125           20173                                    0          -6,1                       
054837,000628: 12,2126           50000                           BOV      BMN                                   
054838,000629: 12,2127           24143                                    MODDONE                               
054839,000630: 12,2130           24143                                    MODDONE                               #  MPAC=PERIOD
054840,000631: 12,2131           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
054841,000632: 12,2132           02312                                    TAU.                                  
054842,000633: 12,2133           50025                           DSU      BMN                                   
054843,000634: 12,2134           00001                                    0D                                    
054844,000635: 12,2135           24143                                    MODDONE                               
054845,000636: 12,2136           77765                           SIGN                                           
054846,000637: 12,2137           02312                                    TAU.                                  
054847,000638: 12,2140           16312                           STODL    TAU.                                  
054848,000639: 12,2141           77650                           GOTO                                           
054849,000640: 12,2142           24131                                    PERIODCH                              
054850,000641: 12,2143           71201        MODDONE            SETPD    DLOAD                                 
054851,000642: 12,2144           00001                                    0                                     
054852,000643: 12,2145           02306                                    XKEPNEW                               
054853,000644: 12,2146           00025                           STORE    X                                     
054854,000645: 12,2147           53165                           SIGN     BZE                                   
054855,000646: 12,2150           02312                                    TAU.                                  
054856,000647: 12,2151           24320                                    BADX                                  
054857,000648: 12,2152           51440                           BMN      ABS                                   
054858,000649: 12,2153           24320                                    BADX                                  
054859,000650: 12,2154           51025                           DSU      BPL                                   
054860,000651: 12,2155           00013                                    XMAX                                  
054861,000652: 12,2156           24320                                    BADX                                  
054862,000653: 12,2157           51145        STORBNDS           DLOAD    BPL                                   
054863,000654: 12,2160           02312                                    TAU.                                  
054864,000655: 12,2161           24170                                    STOREMIN                              
054865,000656: 12,2162           57545                           DLOAD    DCOMP                                 
054866,000657: 12,2163           00013                                    XMAX                                  
054867,000658: 12,2164           14015                           STODL    XMIN                                  
054868,000659: 12,2165           11563                                    KEPZERO                               
054869,000660: 12,2166           34013                           STCALL   XMAX                                  
054870,000661: 12,2167           24173                                    DXCOMP                                
054871,000662: 12,2170           77745        STOREMIN           DLOAD                                          
054872,000663: 12,2171           11563                                    KEPZERO                               
054873,000664: 12,2172           00015                           STORE    XMIN                                  
054874,000665: 12,2173           57345        DXCOMP             DLOAD    DMPR                                  

Page 1279

054876,000667: 12,2174           02312                                    TAU.                                  
054877,000668: 12,2175           11616                                    BEE22                                 
054878,000669: 12,2176           77646                           ABS                                            
054879,000670: 12,2177           15350                           STODL    EPSILONT                              
054880,000671: 12,2200           01553                                    XPREV                                 
054881,000672: 12,2201           77621        XDIFF              BDSU                                           
054882,000673: 12,2202           00025                                    X                                     
054883,000674: 12,2203           02643                           STORE    DELX                                  
054884,000675: 
054885,000676: 12,2204           63545        KEPLOOP            DLOAD    DSQ                                   
054886,000677: 12,2205           00025                                    X                                     #  X=XKEP
054887,000678: 12,2206           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
054888,000679: 12,2207           00047                                    X1                                    
054889,000680: 12,2210           53605                           DMP      SRR*                                  
054890,000681: 12,2211           00011                                    ALPHA                                 
054891,000682: 12,2212           21573                                    0          -6,1                       
054892,000683: 12,2213           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
054893,000684: 12,2214           24433                                    DELTIME                               
054894,000685: 12,2215           44200                           BOV      BDSU                                  
054895,000686: 12,2216           24326                                    TIMEOVFL                              #  UNLIKELY
054896,000687: 12,2217           02312                                    TAU.                                  
054897,000688: 12,2220           02645                           STORE    DELT                                  #  DELT=DELINDEP
054898,000689: 12,2221           44246                           ABS      BDSU                                  
054899,000690: 12,2222           01350                                    EPSILONT                              
054900,000691: 12,2223           71244                           BPL      DLOAD                                 
054901,000692: 12,2224           24346                                    KEPCONVG                              
054902,000693: 12,2225           00037                                    T                                     
054903,000694: 12,2226           60225                           DSU      NORM                                  
054904,000695: 12,2227           01551                                    TC                                    
054905,000696: 12,2230           00047                                    X1                                    
054906,000697: 12,2231           60325                           PDDL     NORM                                  
054907,000698: 12,2232           02643                                    DELX                                  
054908,000699: 12,2233           00050                                    X2                                    
054909,000700: 12,2234           41260                           XSU,1    DMP                                   
054910,000701: 12,2235           00047                                    X2                                    
054911,000702: 12,2236           02645                                    DELT                                  
054912,000703: 12,2237           56257                           SLR*     DDV                                   
054913,000704: 12,2240           21202                                    1,1                                   
054914,000705: 12,2241           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
054915,000706: 12,2242           71244                           BPL      DLOAD                                 
054916,000707: 12,2243           24264                                    POSDELX                               
054917,000708: 12,2244           00025                                    X                                     
054918,000709: 12,2245           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
054919,000710: 12,2246           45221                           BDSU     DSU                                   #                        PL AT 0
054920,000711: 12,2247           00015                                    XMIN                                  
054921,000712: 12,2250           51000                           BOV      BPL                                   
054922,000713: 12,2251           24256                                    NDXCHNGE                              
054923,000714: 12,2252           24256                                    NDXCHNGE                              
054924,000715: 12,2253           52145                           DLOAD    GOTO                                  

Page 1280

054926,000717: 12,2254           00001                                    0D                                    
054927,000718: 12,2255           24276                                    NEWDELX                               
054928,000719: 
054929,000720: 12,2256           45345        NDXCHNGE           DLOAD    DSU                                   
054930,000721: 12,2257           00015                                    XMIN                                  
054931,000722: 12,2260           00025                                    X                                     
054932,000723: 12,2261           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
054933,000724: 12,2262           11621                                    DP9/10                                
054934,000725: 12,2263           24276                                    NEWDELX                               
054935,000726: 
054936,000727: 12,2264           77745        POSDELX            DLOAD                                          
054937,000728: 12,2265           00025                                    X                                     
054938,000729: 12,2266           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
054939,000730: 12,2267           45221                           BDSU     DSU                                   #                        PL AT 0
054940,000731: 12,2270           00013                                    XMAX                                  
054941,000732: 12,2271           50000                           BOV      BMN                                   
054942,000733: 12,2272           24312                                    PDXCHNGE                              
054943,000734: 12,2273           24312                                    PDXCHNGE                              
054944,000735: 12,2274           77745                           DLOAD                                          
054945,000736: 12,2275           00001                                    0D                                    
054946,000737: 12,2276           02643        NEWDELX            STORE    DELX                                  
054947,000738: 12,2277           43254                           BZE      DAD                                   
054948,000739: 12,2300           24346                                    KEPCONVG                              
054949,000740: 12,2301           00025                                    X                                     
054950,000741: 12,2302           14025                           STODL    X                                     
054951,000742: 12,2303           00037                                    T                                     
054952,000743: 12,2304           01551                           STORE    TC                                    
054953,000744: 12,2305           46034        BRNCHCTR           RTB      BHIZ                                  
054954,000745: 12,2306           24656                                    CHECKCTR                              
054955,000746: 12,2307           24346                                    KEPCONVG                              
054956,000747: 12,2310           77650                           GOTO                                           
054957,000748: 12,2311           24204                                    KEPLOOP                               #  ITERATE
054958,000749: 
054959,000750: 12,2312           45345        PDXCHNGE           DLOAD    DSU                                   
054960,000751: 12,2313           00013                                    XMAX                                  
054961,000752: 12,2314           00025                                    X                                     
054962,000753: 12,2315           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
054963,000754: 12,2316           11621                                    DP9/10                                
054964,000755: 12,2317           24276                                    NEWDELX                               
054965,000756: 
054966,000757: 12,2320           70545        BADX               DLOAD    SR1                                   
054967,000758: 12,2321           00013                                    XMAX                                  
054968,000759: 12,2322           77765                           SIGN                                           
054969,000760: 12,2323           02312                                    TAU.                                  
054970,000761: 12,2324           34025                           STCALL   X                                     
054971,000762: 12,2325           24157                                    STORBNDS                              

Page 1281

054973,000764: 12,2326           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
054974,000765: 12,2327           00025                                    X                                     
054975,000766: 12,2330           24344                                    NEGTOVFL                              
054976,000767: 12,2331           00013                           STORE    XMAX                                  
054977,000768: 12,2332           70545        CMNTOVFL           DLOAD    SR1                                   
054978,000769: 12,2333           02643                                    DELX                                  
054979,000770: 12,2334           02643                           STORE    DELX                                  
054980,000771: 12,2335           44254                           BZE      BDSU                                  
054981,000772: 12,2336           02270                                    KEPRTN                                
054982,000773: 12,2337           00025                                    X                                     
054983,000774: 12,2340           14025                           STODL    X                                     
054984,000775: 12,2341           01551                                    TC                                    
054985,000776: 12,2342           34037                           STCALL   T                                     
054986,000777: 12,2343           24305                                    BRNCHCTR                              
054987,000778: 12,2344           34015        NEGTOVFL           STCALL   XMIN                                  
054988,000779: 12,2345           24332                                    CMNTOVFL                              
054989,000780: 12,2346           44545        KEPCONVG           DLOAD    SR4R                                  
054990,000781: 12,2347           00041                                    R1                                    
054991,000782: 12,2350           74225                           DSU      VXSC                                  
054992,000783: 12,2351           00035                                    XSQC(XI)                              
054993,000784: 12,2352           02647                                    URRECT                                
054994,000785: 12,2353           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
054995,000786: 12,2354           00025                                    X                                     
054996,000787: 12,2355           60316                           DSQ      NORM                                  
054997,000788: 12,2356           00047                                    X1                                    
054998,000789: 12,2357           57275                           DMPR     DMPR                                  
054999,000790: 12,2360           00023                                    1/ROOTMU                              
055000,000791: 12,2361           00025                                    X                                     
055001,000792: 12,2362           53605                           DMP      SRR*                                  
055002,000793: 12,2363           00033                                    S(XI)                                 
055003,000794: 12,2364           21572                                    0          -7,1                       
055004,000795: 12,2365           77621                           BDSU                                           
055005,000796: 12,2366           00037                                    T                                     
055006,000797: 12,2367           74352                           SL1      VXSC                                  
055007,000798: 12,2370           01511                                    VRECT                                 
055008,000799: 12,2371           53372                           VSL1     VAD                                   #                                PL AT 0
055009,000800: 12,2372           77712                           VSL4                                           
055010,000801: 12,2373           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
055011,000802: 
055012,000803: 12,2374           60246                           ABVAL    NORM                                  
055013,000804: 12,2375           00050                                    X2                                    
055014,000805: 12,2376           16655                           STODL    RCNORM                                
055015,000806: 12,2377           00031                                    XI                                    
055016,000807: 12,2400           45275                           DMPR     DSU                                   
055017,000808: 12,2401           00033                                    S(XI)                                 
055018,000809: 12,2402           11603                                    D1/128                                
055019,000810: 12,2403           76405                           DMP      SL1R                                  
055020,000811: 12,2404           00021                                    ROOTMU                                
055021,000812: 12,2405           53605                           DMP      SLR*                                  

Page 1282

055023,000814: 12,2406           00025                                    X                                     
055024,000815: 12,2407           56601                                    0          -3,2                       
055025,000816: 12,2410           74271                           DDV      VXSC                                  
055026,000817: 12,2411           02655                                    RCNORM                                
055027,000818: 12,2412           02647                                    URRECT                                
055028,000819: 12,2413           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
055029,000820: 12,2414           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
055030,000821: 12,2415           56257                           SLR*     DDV                                   
055031,000822: 12,2416           56602                                    0          -4,2                       
055032,000823: 12,2417           02655                                    RCNORM                                
055033,000824: 12,2420           74221                           BDSU     VXSC                                  
055034,000825: 12,2421           11617                                    D1/256                                
055035,000826: 12,2422           01511                                    VRECT                                 
055036,000827: 12,2423           42455                           VAD      VSL8                                  
055037,000828: 12,2424           77626                           STADR                                          #                                PL AT 0
055038,000829: 12,2425           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
055039,000830: 12,2426           00037                                    T                                     
055040,000831: 12,2427           15551                           STODL    TC                                    
055041,000832: 12,2430           00025                                    X                                     
055042,000833: 12,2431           35553                           STCALL   XPREV                                 
055043,000834: 12,2432           02270                                    KEPRTN                                
055044,000835: 

Page 1283

055046,000837: 12,2433           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
055047,000838: 12,2434           07171                           TC       POLY                                  
055048,000839: 12,2435           00010                           DEC      8          B-14                       
055049,000840: 12,2436           02525 12526                     2DEC     .083333334                            
055050,000841: 
055051,000842: 12,2440           67356 75666                     2DEC     -.266666684                            
055052,000843: 
055053,000844: 12,2442           15001 23771                     2DEC     .406349155                            
055054,000845: 
055055,000846: 12,2444           64342 43674                     2DEC     -.361198675                            
055056,000847: 
055057,000848: 12,2446           06563 04645                     2DEC     .210153242                            
055058,000849: 
055059,000850: 12,2450           75173 52672                     2DEC     -.086221951                            
055060,000851: 
055061,000852: 12,2452           00656 14331                     2DEC     .026268812                            
055062,000853: 
055063,000854: 12,2454           77633 40512                     2DEC     -.006163316                            
055064,000855: 
055065,000856: 12,2456           00023 11210                     2DEC     .001177342                            
055066,000857: 
055067,000858: 12,2460           77774 67506                     2DEC     -.000199055                            
055068,000859: 
055069,000860: 12,2462           06006                           TC       INTPRET                               
055070,000861: 12,2463           14033                           STODL    S(XI)                                 
055071,000862: 12,2464           00031                                    XI                                    
055072,000863: 12,2465           77776                           EXIT                                           
055073,000864: 12,2466           07171                           TC       POLY                                  
055074,000865: 12,2467           00010                           DEC      8          B-14                       
055075,000866: 12,2470           01000 00000                     2DEC     .031250001                            
055076,000867: 
055077,000868: 12,2472           72525 52506                     2DEC     -.166666719                            
055078,000869: 
055079,000870: 12,2474           13301 15337                     2DEC     .355555413                            
055080,000871: 
055081,000872: 12,2476           62776 54733                     2DEC     -.406347410                            
055082,000873: 
055083,000874: 12,2500           11176 13267                     2DEC     .288962094                            
055084,000875: 
055085,000876: 12,2502           73410 51674                     2DEC     -.140117894                            
055086,000877: 
055087,000878: 12,2504           01446 33641                     2DEC     .049247387                            
055088,000879: 
055089,000880: 12,2506           77451 65233                     2DEC     -.013081923                            
055090,000881: 
055091,000882: 12,2510           00055 37266                     2DEC     .002806389                            
055092,000883: 
055093,000884: 12,2512           77767 52336                     2DEC     -.000529414                            
055094,000885: 
055095,000886: 12,2514           06006                           TC       INTPRET                               

Page 1284

055097,000888: 12,2515           53605                           DMP      SRR*                                  #                                PL AT 0
055098,000889: 12,2516           00001                                    0D                                    
055099,000890: 12,2517           21574                                    0          -5,1                       
055100,000891: 12,2520           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
055101,000892: 12,2521           72405                           DMP      SL1                                   
055102,000893: 12,2522           00043                                    KEPC1                                 
055103,000894: 12,2523           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
055104,000895: 12,2524           45565                                    TPMODE                                #                                PL AT 0,3
055105,000896: 12,2525           53605                           DMP      SRR*                                  
055106,000897: 12,2526           00033                                    S(XI)                                 
055107,000898: 12,2527           21574                                    0          -5,1                       
055108,000899: 12,2530           72405                           DMP      SL1                                   
055109,000900: 12,2531           00045                                    KEPC2                                 
055110,000901: 12,2532           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
055111,000902: 12,2533           45565                                    TPMODE                                
055112,000903: 12,2534           00041                                    R1                                    
055113,000904: 12,2535           76261                           SR       TAD                                   #                                PL AT 3
055114,000905: 12,2536           20607                                    6                                     
055115,000906: 12,2537           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
055116,000907: 12,2540           00047                                    X1                                    
055117,000908: 12,2541           00025                                    X                                     
055118,000909: 12,2542           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
055119,000910: 12,2543           20576                                    0          -3,1                       
055120,000911: 12,2544           57232                           SL4R     DMPR                                  
055121,000912: 12,2545           00023                                    1/ROOTMU                              
055122,000913: 12,2546           00037                           STORE    T                                     
055123,000914: 12,2547           77616                           RVQ                                            
055124,000915: 

Page 1285

055126,000917: 12,2550           71214        ITERATOR           BONCLR   DLOAD                                 
055127,000918: 12,2551           00614                                    SLOPESW                               
055128,000919: 12,2552           24620                                    FIRSTIME                              
055129,000920: 12,2553           00037                                    DEP                                   
055130,000921: 12,2554           60225                           DSU      NORM                                  
055131,000922: 12,2555           02764                                    DEPREV                                
055132,000923: 12,2556           00047                                    X1                                    
055133,000924: 12,2557           60325                           PDDL     NORM                                  
055134,000925: 12,2560           00015                                    DELINDEP                              
055135,000926: 12,2561           00050                                    X2                                    
055136,000927: 12,2562           41260                           XSU,1    DMP                                   
055137,000928: 12,2563           00047                                    X2                                    
055138,000929: 12,2564           02762                                    DELDEP                                
055139,000930: 12,2565           56257                           SLR*     DDV                                   #                                PL UP 2
055140,000931: 12,2566           21202                                    1,1                                   
055141,000932: 12,2567           43142                           SR1      BOFF                                  
055142,000933: 12,2570           04351                                    ORDERSW                               
055143,000934: 12,2571           24574                                    SGNCHECK                              
055144,000935: 12,2572           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
055145,000936: 12,2573           02762                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
055146,000937: 
055147,000938: 12,2574           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
055148,000939: 12,2575           24632                                    POSDEL                                
055149,000940: 12,2576           43145                           DLOAD    BON                                   
055150,000941: 12,2577           03775                                    INDEP                                 
055151,000942: 12,2600           04311                                    ORDERSW                               
055152,000943: 12,2601           24603                                    MINCHECK                              
055153,000944: 12,2602           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
055154,000945: 
055155,000946: 12,2603           45221        MINCHECK           BDSU     DSU                                   
055156,000947: 12,2604           00011                                    MIN                                   
055157,000948: 12,2605           51000                           BOV      BPL                                   
055158,000949: 12,2606           24612                                    MODNGDEL                              
055159,000950: 12,2607           24612                                    MODNGDEL                              
055160,000951: 12,2610           77650                           GOTO                                           
055161,000952: 12,2611           24644                                    DELOK                                 
055162,000953: 
055163,000954: 12,2612           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
055164,000955: 12,2613           00011                                    MIN                                   
055165,000956: 12,2614           03775                                    INDEP                                 
055166,000957: 12,2615           52005                           DMP      GOTO                                  
055167,000958: 12,2616           11621                                    DP9/10                                
055168,000959: 12,2617           24646                                    NEWDEL                                
055169,000960: 
055170,000961: 12,2620           41345        FIRSTIME           DLOAD    DMP                                   
055171,000962: 12,2621           00011                                    MIN                                   
055172,000963: 12,2622           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
055173,000964: 12,2623           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1286

055175,000966: 12,2624           00017                                    MAX                                   
055176,000967: 12,2625           00051                                    TWEEKIT                               
055177,000968: 12,2626           77625                           DSU                                            
055178,000969: 12,2627           52165                           SIGN     GOTO                                  
055179,000970: 12,2630           02762                                    DELDEP                                
055180,000971: 12,2631           24574                                    SGNCHECK                              
055181,000972: 
055182,000973: 12,2632           43145        POSDEL             DLOAD    BON                                   
055183,000974: 12,2633           03775                                    INDEP                                 
055184,000975: 12,2634           04311                                    ORDERSW                               
055185,000976: 12,2635           24637                                    MAXCHECK                              
055186,000977: 12,2636           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
055187,000978: 
055188,000979: 12,2637           45221        MAXCHECK           BDSU     DSU                                   
055189,000980: 12,2640           00017                                    MAX                                   
055190,000981: 12,2641           50000                           BOV      BMN                                   
055191,000982: 12,2642           24650                                    MODPSDEL                              
055192,000983: 12,2643           24650                                    MODPSDEL                              
055193,000984: 12,2644           77745        DELOK              DLOAD                                          
055194,000985: 12,2645           00001                                    0D                                    
055195,000986: 12,2646           00015        NEWDEL             STORE    DELINDEP                              
055196,000987: 12,2647           77616                           RVQ                                            
055197,000988: 
055198,000989: 12,2650           45345        MODPSDEL           DLOAD    DSU                                   
055199,000990: 12,2651           00017                                    MAX                                   
055200,000991: 12,2652           03775                                    INDEP                                 
055201,000992: 12,2653           52005                           DMP      GOTO                                  
055202,000993: 12,2654           11621                                    DP9/10                                
055203,000994: 12,2655           24646                                    NEWDEL                                
055204,000995: 
055205,000996: 12,2656           45017        CHECKCTR           CS       ONE                                   
055206,000997: 12,2657           50120                           INDEX    FIXLOC                                
055207,000998: 12,2660           60026                           AD       ITERCTR                               
055208,000999: 12,2661           50120                           INDEX    FIXLOC                                
055209,001000: 12,2662           54026                           TS       ITERCTR                               
055210,001001: 12,2663           54154                           TS       MPAC                                  
055211,001002: 12,2664           06030                           TC       DANZIG                                
055212,001003: 

Page 1287

055214,001005: 12,2665           44545        NEWSTATE           DLOAD    SR4R                                  
055215,001006: 12,2666           00041                                    R1                                    
055216,001007: 12,2667           74225                           DSU      VXSC                                  
055217,001008: 12,2670           00035                                    XSQC(XI)                              
055218,001009: 12,2671           02724                                    UR1                                   
055219,001010: 12,2672           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
055220,001011: 12,2673           00025                                    X                                     
055221,001012: 12,2674           60316                           DSQ      NORM                                  
055222,001013: 12,2675           00047                                    X1                                    
055223,001014: 12,2676           57275                           DMPR     DMPR                                  
055224,001015: 12,2677           00023                                    1/ROOTMU                              
055225,001016: 12,2700           00025                                    X                                     
055226,001017: 12,2701           53605                           DMP      SRR*                                  
055227,001018: 12,2702           00033                                    S(XI)                                 
055228,001019: 12,2703           21572                                    0          -7,1                       
055229,001020: 12,2704           77621                           BDSU                                           
055230,001021: 12,2705           00037                                    T                                     
055231,001022: 12,2706           74352                           SL1      VXSC                                  
055232,001023: 12,2707           02746                                    VVEC                                  
055233,001024: 12,2710           53372                           VSL1     VAD                                   #                                PL AT 0
055234,001025: 12,2711           41512                           VSL4     PUSH                                  
055235,001026: 12,2712           77646                           ABVAL                                          
055236,001027: 12,2713           77701        LAMENTER           NORM                                           
055237,001028: 12,2714           00047                                    X1                                    
055238,001029: 12,2715           16722                           STODL    R2                                    
055239,001030: 12,2716           00031                                    XI                                    
055240,001031: 12,2717           45205                           DMP      DSU                                   
055241,001032: 12,2720           00033                                    S(XI)                                 
055242,001033: 12,2721           11603                                    D1/128                                
055243,001034: 12,2722           76405                           DMP      SL1R                                  
055244,001035: 12,2723           00021                                    ROOTMU                                
055245,001036: 12,2724           53605                           DMP      SLR*                                  
055246,001037: 12,2725           00025                                    X                                     
055247,001038: 12,2726           21176                                    0          -3,1                       
055248,001039: 12,2727           74271                           DDV      VXSC                                  
055249,001040: 12,2730           02722                                    R2                                    
055250,001041: 12,2731           02724                                    UR1                                   
055251,001042: 12,2732           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
055252,001043: 12,2733           00035                                    XSQC(XI)                              
055253,001044: 12,2734           56257                           SLR*     DDV                                   
055254,001045: 12,2735           21175                                    0          -4,1                       
055255,001046: 12,2736           02722                                    R2                                    
055256,001047: 12,2737           77621                           BDSU                                           
055257,001048: 12,2740           11617                                    D1/256                                
055258,001049: 12,2741           53361                           VXSC     VAD                                   
055259,001050: 12,2742           02746                                    VVEC                                  #                                PL AT 6
055260,001051: 12,2743           43412                           VSL8     RVQ                                   
055261,001052: 

Page 1288

055263,001054: 04,2000                                           SETLOC   CONICS1                               
055264,001055: 04,2000                                           BANK                                           
055265,001056: 
055266,001057: 04,3577                                           COUNT    04/CONIC                              
055267,001058:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
055268,001059: 04,3577           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
055269,001060: 04,3600           04000 00000  D1/8               2DEC     1.0        B-3                        
055270,001061: 
055271,001062: 04,3602           00200 00000  D1/128             2DEC     1.0        B-7                        
055272,001063: 
055273,001064: 04,3604           00400 00000  D1/64              2DEC     1.0        B-6                        
055274,001065: 
055275,001066: 04,3606           10000 00000  D1/4               2DEC     1.0        B-2                        
055276,001067: 
055277,001068: 04,3610           02000 00000  D1/16              2DEC     1.0        B-4                        
055278,001069: 
055279,001070: 04,3612           01000 00000  D1/32              2DEC     1.0        B-5                        
055280,001071: 
055281,001072: 04,3614           00020 00000  D1/1024            2DEC     1.0        B-10                       
055282,001073: 
055283,001074: 04,3616           00100 00000  D1/256             2DEC     1.0        B-8                        
055284,001075: 
055285,001076: 04,3620           34631 23146  DP9/10             2DEC     .9                                    
055286,001077: 
055287,001078: 04,3622  04,3562               KEPZERO            EQUALS   LO6ZEROS                              
055288,001079: 04,3622           77467 77777  -50SC              2DEC     -50.0      B-12                       
055289,001080: 
055290,001081: 04,3624           03110 17665  2PISC              2DEC     6.28318530 B-6                        
055291,001082: 
055292,001083: 04,3626  04,3611               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
055293,001084: 04,3626  04,3615               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
055294,001085: 04,3626           00000 00001  ONEBIT             2DEC     1.0        B-28                       
055295,001086: 
055296,001087: 04,3630           37767 37737  COGUPLIM           2DEC     .999511597                            
055297,001088: 
055298,001089: 04,3632           40010 40040  COGLOLIM           2DEC     -.999511597                            
055299,001090: 

Page 1289

055301,001092: 12,2000                                           SETLOC   CONICS                                
055302,001093: 12,2000                                           BANK                                           
055303,001094: 
055304,001095: 12,2744                                           COUNT    12/CONIC                              
055305,001096: 
055306,001097: 12,2744           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
055307,001098: 12,2745           02712                                    RTNTT                                 
055308,001099: 12,2746           00001                                    0                                     
055309,001100: 12,2747           77600                           BOV                                            
055310,001101: 12,2750           24751                                    +1                                    
055311,001102: 12,2751           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
055312,001103: 12,2752           02657                                    RVEC                                  
055313,001104: 12,2753           02746                                    VVEC                                  
055314,001105: 12,2754           77624                           CALL                                           
055315,001106: 12,2755           11634                                    PARAM                                 
055316,001107: 12,2756           45000                           BOV      CALL                                  
055317,001108: 12,2757           24776                                    COGAOVFL                              #                                PL AT 0
055318,001109: 12,2760           25001                                    GETX                                  
055319,001110: 12,2761           43145        COMMNOUT           DLOAD    BON                                   
055320,001111: 12,2762           00031                                    XI                                    
055321,001112: 12,2763           04310                                    INFINFLG                              
055322,001113: 12,2764           25751                                    ABTCONIC                              
055323,001114: 12,2765           45014                           CLEAR    CALL                                  
055324,001115: 12,2766           04273                                    COGAFLAG                              
055325,001116: 12,2767           24433                                    DELTIME                               
055326,001117: 12,2770           45014                           BON      CALL                                  
055327,001118: 12,2771           03706                                    RVSW                                  
055328,001119: 12,2772           02712                                    RTNTT                                 
055329,001120: 12,2773           24665                                    NEWSTATE                              
055330,001121: 12,2774           77650                           GOTO                                           
055331,001122: 12,2775           02712                                    RTNTT                                 
055332,001123: 
055333,001124: 12,2776           77614        COGAOVFL           SETGO                                          
055334,001125: 12,2777           04033                                    COGAFLAG                              
055335,001126: 12,3000           25751                                    ABTCONIC                              
055336,001127: 04,3634                                           BANK     4                                     
055337,001128: 04,2000                                           SETLOC   CONICS1                               
055338,001129: 04,2000                                           BANK                                           
055339,001130: 04,3634                                           COUNT*   $$/CONIC                              
055340,001131: 04,3634           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
055341,001132: 04,3635           02755                                    RTNPRM                                
055342,001133: 04,3636           03665                                    NORMSW                                
055343,001134: 04,3637           77614                           CLEAR                                          
055344,001135: 04,3640           04273                                    COGAFLAG                              
055345,001136: 04,3641           45131                           SSP      CALL                                  
055346,001137: 04,3642           02675                                    GEOMSGN                               
055347,001138: 04,3643           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
055348,001139: 04,3644           11677                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
055349,001140: 04,3645           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0

Page 1290

055351,001142: 04,3646           56261                           SR       DDV                                   
055352,001143: 04,3647           20606                                    5                                     
055353,001144: 
055354,001145: 04,3650           00045                                    36D                                   
055355,001146: 04,3651           33775                           STOVL*   COGA                                  
055356,001147: 04,3652           11735                                    MUTABLE,1                             
055357,001148: 04,3653           14017                           STODL    1/MU                                  
055358,001149: 04,3654           02722                                    MAGVEC2                               
055359,001150: 04,3655           60316                           DSQ      NORM                                  
055360,001151: 04,3656           00047                                    X1                                    
055361,001152: 04,3657           41275                           DMPR     DMP                                   
055362,001153: 04,3660           00017                                    1/MU                                  
055363,001154: 04,3661           00041                                    R1                                    
055364,001155: 04,3662           77657                           SRR*                                           
055365,001156: 04,3663           21576                                    0          -3,1                       
055366,001157: 04,3664           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
055367,001158: 04,3665           11613                                    D1/32                                 
055368,001159: 04,3666           16744                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
055369,001160: 
055370,001161: 04,3667           60205                           DMP      NORM                                  
055371,001162: 04,3670           00045                                    36D                                   
055372,001163: 04,3671           00047                                    X1                                    
055373,001164: 04,3672           53605                           DMP      SR*                                   
055374,001165: 04,3673           00045                                    36D                                   
055375,001166: 04,3674           20575                                    0          -4,1                       
055376,001167: 04,3675           36742                           STCALL   P                                     #  P (+4)
055377,001168: 04,3676           02755                                    RTNPRM                                
055378,001169: 

Page 1291

055380,001171: 04,3677           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
055381,001172: 04,3700           16714                           STODL    U2                                    #  U2 (+1)
055382,001173: 04,3701           00045                                    36D                                   
055383,001174: 04,3702           26722                           STOVL    MAGVEC2                               #                                PL AT 0
055384,001175: 04,3703           77656                           UNIT                                           
055385,001176: 04,3704           02724                           STORE    UR1                                   #  UR1 (+1)
055386,001177: 04,3705           72441                           DOT      SL1                                   
055387,001178: 04,3706           02714                                    U2                                    
055388,001179: 04,3707           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
055389,001180: 04,3710           00045                                    36D                                   
055390,001181: 04,3711           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
055391,001182: 04,3712           02724                                    UR1                                   
055392,001183: 04,3713           76435                           VXV      VSL1                                  
055393,001184: 04,3714           02714                                    U2                                    
055394,001185: 04,3715           75214                           BON      SIGN                                  
055395,001186: 04,3716           03705                                    NORMSW                                
055396,001187: 04,3717           11731                                    HAVENORM                              
055397,001188: 04,3720           02675                                    GEOMSGN                               
055398,001189: 04,3721           40056                           UNIT     BOV                                   
055399,001190: 04,3722           11727                                    COLINEAR                              
055400,001191: 04,3723           16676        UNITNORM           STODL    UN                                    #  UN (+1)
055401,001192: 04,3724           00045                                    36D                                   
055402,001193: 04,3725           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
055403,001194: 04,3726           02675                                    GEOMSGN                               
055404,001195: 
055405,001196: 04,3727           52162        COLINEAR           VSR1     GOTO                                  
055406,001197: 04,3730           11723                                    UNITNORM                              
055407,001198: 
055408,001199: 04,3731           75246        HAVENORM           ABVAL    SIGN                                  
055409,001200: 04,3732           02675                                    GEOMSGN                               
055410,001201: 04,3733           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
055411,001202: 

Page 1292

055413,001204: 12,3001                                           BANK     12                                    
055414,001205: 12,2000                                           SETLOC   CONICS                                
055415,001206: 12,2000                                           BANK                                           
055416,001207: 
055417,001208: 12,3001                                           COUNT    12/CONIC                              
055418,001209: 
055419,001210: 12,3001           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
055420,001211: 12,3002           00003                                    3                                     
055421,001212: 12,3003           00052                                    S2                                    
055422,001213: 12,3004           00001                                    1                                     
055423,001214: 12,3005           77614                           CLEAR                                          
055424,001215: 12,3006           04276                                    360SW                                 
055425,001216: 12,3007           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
055426,001217: 12,3010           02734                                    CSTH                                  
055427,001218: 12,3011           44342                           SR1      BDSU                                  
055428,001219: 12,3012           11607                                    D1/4                                  
055429,001220: 12,3013           54325                           PDDL     SRR                                   #                                PL AT 4D
055430,001221: 12,3014           02732                                    SNTH                                  
055431,001222: 12,3015           21607                                    6                                     
055432,001223: 12,3016           77671                           DDV                                            #                                PL AT 2
055433,001224: 12,3017           77600                           BOV                                            
055434,001225: 12,3020           25134                                    360CHECK                              
055435,001226: 12,3021           41225                           DSU      DMP                                   
055436,001227: 12,3022           03775                                    COGA                                  #                                PL AT 0
055437,001228: 12,3023           40132                           SL2R     BOV                                   
055438,001229: 12,3024           25134                                    360CHECK                              
055439,001230: 12,3025           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
055440,001231: 12,3026           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
055441,001232: 12,3027           00155                                    MPAC                                  
055442,001233: 12,3030           02744                                    R1A                                   
055443,001234: 12,3031           76202                           SR4      TAD                                   #                                PL AT 2
055444,001235: 12,3032           75440                           BMN      SQRT                                  
055445,001236: 12,3033           25217                                    INFINITY                              
055446,001237: 12,3034           43306                           ROUND    DAD                                   #                                PL AT 0D
055447,001238: 12,3035           61000                           BOV      TIX,2                                 
055448,001239: 12,3036           25132                                    RESETX2                               
055449,001240: 12,3037           25025                                    WLOOP                                 
055450,001241: 
055451,001242: 12,3040           40065                           BDDV     BOV                                   
055452,001243: 12,3041           11603                                    D1/128                                
055453,001244: 12,3042           25217                                    INFINITY                              
055454,001245: 12,3043           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
055455,001246: 12,3044           25217                                    INFINITY                              
055456,001247: 12,3045           77716                           DSQ                                            
055457,001248: 12,3046           41301                           NORM     DMP                                   
055458,001249: 12,3047           00047                                    X1                                    
055459,001250: 12,3050           02744                                    R1A                                   
055460,001251: 12,3051           77457                           SRR*     EXIT                                  
055461,001252: 12,3052           21567                                    0          -10D,1                     

Page 1293

055463,001254: 12,3053           07171                           TC       POLY                                  
055464,001255: 12,3054           00005                           DEC      5          B-14                       
055465,001256: 12,3055           20000 00000                     2DEC     .5                                    
055466,001257: 
055467,001258: 12,3057           72525 52471                     2DEC     -.166666770                            
055468,001259: 
055469,001260: 12,3061           03146 15003                     2DEC     .100000392                            
055470,001261: 
055471,001262: 12,3063           75556 45210                     2DEC     -.071401086                            
055472,001263: 
055473,001264: 12,3065           01615 13553                     2DEC     .055503292                            
055474,001265: 
055475,001266: 12,3067           76371 63777                     2DEC     -.047264098                            
055476,001267: 
055477,001268: 12,3071           01232 27367                     2DEC     .040694204                            
055478,001269: 
055479,001270: 12,3073           06006                           TC       INTPRET                               
055480,001271: 12,3074           76405                           DMP      SL1R                                  #                                PL AT 0D
055481,001272: 12,3075           43006                           PUSH     BON                                   
055482,001273: 12,3076           04316                                    360SW                                 
055483,001274: 12,3077           25204                                    TRUE360X                              
055484,001275: 12,3100           60316        XCOMMON            DSQ      NORM                                  
055485,001276: 12,3101           00047                                    X1                                    
055486,001277: 12,3102           53605                           DMP      SRR*                                  
055487,001278: 12,3103           02744                                    R1A                                   
055488,001279: 12,3104           21565                                    0          -12D,1                     
055489,001280: 12,3105           14031                           STODL    XI                                    #  XI (+6)
055490,001281: 
055491,001282: 12,3106           00041                                    R1                                    
055492,001283: 12,3107           75542                           SR1      SQRT                                  
055493,001284: 12,3110           41306                           ROUND    DMP                                   
055494,001285: 12,3111           77632                           SL4R                                           #                                PL AT 0
055495,001286: 12,3112           00025                           STORE    X                                     #  X (+17 OR +16)
055496,001287: 
055497,001288: 12,3113           60316                           DSQ      NORM                                  
055498,001289: 12,3114           00047                                    X1                                    
055499,001290: 12,3115           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
055500,001291: 12,3116           02742                                    P                                     
055501,001292: 12,3117           00041                                    R1                                    
055502,001293: 12,3120           75452                           SL3      SQRT                                  
055503,001294: 12,3121           56405                           DMP      SL3R                                  
055504,001295: 12,3122           03775                                    COGA                                  
055505,001296: 12,3123           14043                           STODL    KEPC1                                 
055506,001297: 12,3124           02744                                    R1A                                   
055507,001298: 12,3125           43021                           BDSU     CLEAR                                 
055508,001299: 12,3126           11605                                    D1/64                                 
055509,001300: 12,3127           04270                                    INFINFLG                              
055510,001301: 12,3130           00045                           STORE    KEPC2                                 

Page 1294

055512,001303: 12,3131           77616                           RVQ                                            
055513,001304: 
055514,001305: 12,3132           77774        RESETX2            AXT,2                                          
055515,001306: 12,3133           00003                                    3                                     
055516,001307: 
055517,001308: 12,3134           51001        360CHECK           SETPD    BPL                                   
055518,001309: 12,3135           00001                                    0D                                    
055519,001310: 12,3136           25141                                    INVRSEQN                              
055520,001311: 12,3137           77614                           SET                                            
055521,001312: 12,3140           04076                                    360SW                                 
055522,001313: 
055523,001314: 12,3141           75545        INVRSEQN           DLOAD    SQRT                                  
055524,001315: 12,3142           02742                                    P                                     
055525,001316: 12,3143           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
055526,001317: 12,3144           02732                                    SNTH                                  
055527,001318: 12,3145           03775                                    COGA                                  
055528,001319: 12,3146           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
055529,001320: 12,3147           02734                                    CSTH                                  
055530,001321: 12,3150           43202                           SR4      DAD                                   
055531,001322: 12,3151           11613                                    D1/32                                 
055532,001323: 12,3152           41225                           DSU      DMP                                   #                                PL AT 2,0
055533,001324: 12,3153           55301                           NORM     BDDV                                  
055534,001325: 12,3154           00047                                    X1                                    
055535,001326: 12,3155           02732                                    SNTH                                  
055536,001327: 12,3156           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
055537,001328: 12,3157           21174                                    0          -5,1                       
055538,001329: 12,3160           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
055539,001330: 12,3161           14043                           STODL    34D                                   
055540,001331: 12,3162           11611                                    D1/16                                 
055541,001332: 12,3163           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
055542,001333: 12,3164           65234                           RTB      PDDL                                  #                                PL AT 7
055543,001334: 12,3165           45565                                    TPMODE                                
055544,001335: 12,3166           02744                                    R1A                                   
055545,001336: 12,3167           40405                           DMP      SR4                                   
055546,001337: 12,3170           00043                                    34D                                   
055547,001338: 12,3171           77771                           TAD                                            
055548,001339: 12,3172           75440                           BMN      SQRT                                  #                                PL AT 4
055549,001340: 12,3173           25217                                    INFINITY                              
055550,001341: 12,3174           77615                           DAD                                            #                                PL AT 2
055551,001342: 12,3175           60304                           TIX,2    NORM                                  
055552,001343: 12,3176           25163                                    1/WLOOP                               
055553,001344: 12,3177           00047                                    X1                                    
055554,001345: 12,3200           77665                           BDDV                                           
055555,001346: 12,3201           52057                           SLR*     GOTO                                  #                                PL AT 0
055556,001347: 12,3202           21172                                    0          -7,1                       
055557,001348: 12,3203           25043                                    POLYCOEF                              
055558,001349: 

Page 1295

055560,001351: 12,3204           50145        TRUE360X           DLOAD    BMN                                   
055561,001352: 12,3205           02744                                    R1A                                   
055562,001353: 12,3206           25217                                    INFINITY                              
055563,001354: 12,3207           60366                           SQRT     NORM                                  
055564,001355: 12,3210           00047                                    X1                                    
055565,001356: 12,3211           53665                           BDDV     SL*                                   
055566,001357: 12,3212           11625                                    2PISC                                 
055567,001358: 12,3213           20176                                    0          -3,1                       
055568,001359: 12,3214           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
055569,001360: 12,3215           77650                           GOTO                                           
055570,001361: 12,3216           25100                                    XCOMMON                               
055571,001362: 12,3217           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
055572,001363: 12,3220           00001                                    0                                     #  INFINITY IS REQUIRED
055573,001364: 12,3221           25222                                    OVFLCLR                               
055574,001365: 12,3222           43414        OVFLCLR            SET      RVQ                                   
055575,001366: 12,3223           04070                                    INFINFLG                              
055576,001367: 

Page 1296

055578,001369: 12,3224           40220        LAMBERT            STQ      SETPD                                 
055579,001370: 12,3225           02712                                    RTNLAMB                               
055580,001371: 12,3226           00001                                    0D                                    
055581,001372: 12,3227           77600                           BOV                                            
055582,001373: 12,3230           25231                                    +1                                    
055583,001374: 12,3231           76731                           SSP      VLOAD*                                
055584,001375: 12,3232           00027                                    ITERCTR                               
055585,001376: 12,3233           00024                                    20D                                   
055586,001377: 12,3234           11735                                    MUTABLE,1                             
055587,001378: 12,3235           14017                           STODL    1/MU                                  
055588,001379: 12,3236           02673                                    TDESIRED                              
055589,001380: 12,3237           77675                           DMPR                                           
055590,001381: 12,3240           11612                                    BEE19                                 
055591,001382: 12,3241           03777                           STORE    EPSILONL                              
055592,001383: 12,3242           77214                           SET      VLOAD                                 
055593,001384: 12,3243           00474                                    SLOPESW                               
055594,001385: 12,3244           02657                                    R1VEC                                 
055595,001386: 12,3245           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
055596,001387: 12,3246           02665                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
055597,001388: 12,3247           11677                                    GEOM                                  
055598,001389: 12,3250           16732                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
055599,001390: 12,3251           02722                                    MAGVEC2                               
055600,001391: 12,3252           65301                           NORM     PDDL                                  #                                PL AT 4
055601,001392: 12,3253           00047                                    X1                                    
055602,001393: 12,3254           00041                                    R1                                    
055603,001394: 12,3255           56342                           SR1      DDV                                   #                                PL AT 2
055604,001395: 12,3256           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
055605,001396: 12,3257           20173                                    0          -6,1                       
055606,001397: 12,3260           77626                           STADR                                          
055607,001398: 12,3261           75043                           STORE    CSTH                                  #  CSTH (+1)
055608,001399: 12,3262           44342                           SR1      BDSU                                  
055609,001400: 12,3263           11607                                    D1/4                                  
055610,001401: 12,3264           02736                           STORE    1-CSTH                                #  1-CSTH (+2)
055611,001402: 
055612,001403: 12,3265           53106                           ROUND    BZE                                   
055613,001404: 12,3266           25473                                    360LAMB                               
055614,001405: 12,3267           65301                           NORM     PDDL                                  #                                PL AT 4
055615,001406: 12,3270           00047                                    X1                                    
055616,001407: 12,3271           00001                                    0D                                    
055617,001408: 12,3272           56342                           SR1      DDV                                   #                                PL AT 2
055618,001409: 12,3273           75457                           SL*      SQRT                                  
055619,001410: 12,3274           20176                                    0          -3,1                       
055620,001411: 12,3275           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
055621,001412: 12,3276           02732                                    SNTH                                  
055622,001413: 12,3277           20607                                    6                                     
055623,001414: 12,3300           43271                           DDV      DAD                                   #                                PL AT 2
055624,001415: 12,3301           02736                                    1-CSTH                                
055625,001416: 12,3302           77626                           STADR                                          
055626,001417: 12,3303           77760                           STORE    COGAMAX                               
055627,001418: 12,3304           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM

Page 1297

055629,001420: 12,3305           25312                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE
055630,001421: 12,3306           25315                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
055631,001422: 12,3307           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
055632,001423: 12,3310           11631                                    COGUPLIM                              
055633,001424: 12,3311           25315                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
055634,001425: 12,3312           77745        UPLIM              DLOAD                                          
055635,001426: 12,3313           11631                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
055636,001427: 12,3314           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
055637,001428: 12,3315           77745        MAXCOGA            DLOAD                                          
055638,001429: 12,3316           02734                                    CSTH                                  
055639,001430: 12,3317           45261                           SR       DSU                                   #                                PL AT 0
055640,001431: 12,3320           20607                                    6                                     
055641,001432: 12,3321           77626                           STADR                                          
055642,001433: 12,3322           61037                           STODL    CSTH-RHO                              
055643,001434: 12,3323           02675                                    GEOMSGN                               
055644,001435: 12,3324           71240                           BMN      DLOAD                                 
055645,001436: 12,3325           25512                                    LOLIM                                 
055646,001437: 12,3326           02740                                    CSTH-RHO                              
055647,001438: 12,3327           56352                           SL1      DDV                                   
055648,001439: 12,3330           02732                                    SNTH                                  
055649,001440: 12,3331           77600                           BOV                                            
055650,001441: 12,3332           25512                                    LOLIM                                 
055651,001442: 12,3333           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
055652,001443: 12,3334           66214                           BON      SSP                                   
055653,001444: 12,3335           00715                                    GUESSW                                
055654,001445: 12,3336           25477                                    NOGUESS                               
055655,001446: 12,3337           00051                                    TWEEKIT                               
055656,001447: 12,3340           00001                                    00001                                 
055657,001448: 12,3341           77745                           DLOAD                                          
055658,001449: 12,3342           03775                                    COGA                                  
055659,001450: 
055660,001451: 12,3343           77605        LAMBLOOP           DMP                                            
055661,001452: 12,3344           02732                                    SNTH                                  
055662,001453: 12,3345           45342                           SR1      DSU                                   
055663,001454: 12,3346           02740                                    CSTH-RHO                              
055664,001455: 12,3347           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
055665,001456: 12,3350           00047                                    X1                                    
055666,001457: 12,3351           02736                                    1-CSTH                                
055667,001458: 12,3352           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
055668,001459: 12,3353           20170                                    0          -9D,1                      
055669,001460: 12,3354           53040                           BMN      BZE                                   
055670,001461: 12,3355           25431                                    NEGP                                  
055671,001462: 12,3356           25431                                    NEGP                                  
055672,001463: 12,3357           16742                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
055673,001464: 12,3360           03775                                    COGA                                  
055674,001465: 12,3361           43316                           DSQ      DAD                                   
055675,001466: 12,3362           11615                                    D1/1024                               
055676,001467: 12,3363           41301                           NORM     DMP                                   
055677,001468: 12,3364           00047                                    X1                                    

Page 1298

055679,001470: 12,3365           02742                                    P                                     
055680,001471: 12,3366           44257                           SR*      BDSU                                  
055681,001472: 12,3367           20571                                    0          -8D,1                      
055682,001473: 12,3370           11613                                    D1/32                                 
055683,001474: 12,3371           16744                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
055684,001475: 
055685,001476: 12,3372           02742                                    P                                     
055686,001477: 12,3373           45000                           BOV      CALL                                  
055687,001478: 12,3374           25434                                    HIENERGY                              
055688,001479: 12,3375           25001                                    GETX                                  
055689,001480: 12,3376           77745                           DLOAD                                          
055690,001481: 12,3377           00037                                    T                                     
055691,001482: 12,3400           16764                           STODL    TPREV                                 
055692,001483: 12,3401           00031                                    XI                                    
055693,001484: 12,3402           45014                           BON      CALL                                  
055694,001485: 12,3403           04310                                    INFINFLG                              
055695,001486: 12,3404           25431                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
055696,001487: 12,3405           24433                                    DELTIME                               
055697,001488: 12,3406           44200                           BOV      BDSU                                  
055698,001489: 12,3407           25450                                    BIGTIME                               
055699,001490: 12,3410           02673                                    TDESIRED                              
055700,001491: 12,3411           02762                           STORE    TERRLAMB                              
055701,001492: 12,3412           44246                           ABS      BDSU                                  
055702,001493: 12,3413           03777                                    EPSILONL                              
055703,001494: 12,3414           47044                           BPL      RTB                                   
055704,001495: 12,3415           25515                                    INITV                                 
055705,001496: 12,3416           24656                                    CHECKCTR                              
055706,001497: 12,3417           45030                           BHIZ     CALL                                  
055707,001498: 12,3420           25460                                    SUFFCHEK                              
055708,001499: 12,3421           24550                                    ITERATOR                              
055709,001500: 12,3422           53145                           DLOAD    BZE                                   
055710,001501: 12,3423           00155                                    MPAC                                  
055711,001502: 12,3424           25460                                    SUFFCHEK                              
055712,001503: 12,3425           77615                           DAD                                            
055713,001504: 12,3426           03775                                    COGA                                  
055714,001505: 12,3427           37775                           STCALL   COGA                                  
055715,001506: 12,3430           25343                                    LAMBLOOP                              
055716,001507: 
055717,001508: 12,3431           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
055718,001509: 12,3432           00015                                    DCOGA                                 #  BOUND CALCULATION.  TRY NEW COGA.
055719,001510: 12,3433           25453                                    LOENERGY                              
055720,001511: 
055721,001512: 12,3434           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
055722,001513: 12,3435           00001                                    0                                     
055723,001514: 12,3436           03775                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
055724,001515: 12,3437           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
055725,001516: 12,3440           70545        COMMONLM           DLOAD    SR1                                   
055726,001517: 12,3441           00015                                    DCOGA                                 

Page 1299

055728,001519: 12,3442           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
055729,001520: 12,3443           44254                           BZE      BDSU                                  
055730,001521: 12,3444           25460                                    SUFFCHEK                              
055731,001522: 12,3445           03775                                    COGA                                  
055732,001523: 12,3446           37775                           STCALL   COGA                                  
055733,001524: 12,3447           25343                                    LAMBLOOP                              
055734,001525: 
055735,001526: 12,3450           77745        BIGTIME            DLOAD                                          
055736,001527: 12,3451           02764                                    TPREV                                 
055737,001528: 12,3452           00037                           STORE    T                                     
055738,001529: 
055739,001530: 12,3453           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
055740,001531: 12,3454           00001                                    0                                     
055741,001532: 12,3455           03775                                    COGA                                  #  IN OVERFLOW OF TIME.
055742,001533: 12,3456           34017                           STCALL   COGAMAX                               #  THIS IS THE NEW BOUND.
055743,001534: 12,3457           25440                                    COMMONLM                              
055744,001535: 
055745,001536: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
055746,001537: 12,3461           02762                                    TERRLAMB                              
055747,001538: 12,3462           41325                           PDDL     DMP                                   
055748,001539: 12,3463           02673                                    TDESIRED                              #                                PL AT 2D
055749,001540: 12,3464           11607                                    D1/4                                  
055750,001541: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
055751,001542: 12,3466           11627                                    ONEBIT                                
055752,001543: 12,3467           43044                           BPL      SETGO                                 
055753,001544: 12,3470           25515                                    INITV                                 
055754,001545: 12,3471           02434                                    SOLNSW                                
055755,001546: 12,3472           02712                                    RTNLAMB                               
055756,001547: 
055757,001548: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
055758,001549: 12,3474           00001                                    0                                     
055759,001550: 12,3475           02434                                    SOLNSW                                
055760,001551: 12,3476           02712                                    RTNLAMB                               
055761,001552: 
055762,001553: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
055763,001554: 12,3500           00051                                    TWEEKIT                               
055764,001555: 12,3501           10000                                    20000                                 
055765,001556: 12,3502           00011                                    COGAMIN                               
055766,001557: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2
055767,001558: 12,3504           00017                                    COGAMAX                               
055768,001559: 12,3505           43342                           SR1      DAD                                   
055769,001560: 12,3506           77626                           STADR                                          #                                PL AT 0
055770,001561: 12,3507           74002                           STORE    COGA                                  
055771,001562: 12,3510           34015                           STCALL   DCOGA                                 
055772,001563: 12,3511           25343                                    LAMBLOOP                              

Page 1300

055774,001565: 12,3512           52145        LOLIM              DLOAD    GOTO                                  
055775,001566: 12,3513           11633                                    COGLOLIM                              #  COGLOLIM=-.999511597
055776,001567: 12,3514           25333                                    MINCOGA                               
055777,001568: 
055778,001569: 12,3515           60345        INITV              DLOAD    NORM                                  
055779,001570: 12,3516           00041                                    R1                                    
055780,001571: 12,3517           00047                                    X1                                    
055781,001572: 12,3520           70525                           PDDL     SR1                                   #                                PL AT 2
055782,001573: 12,3521           02742                                    P                                     
055783,001574: 12,3522           77671                           DDV                                            #                                PL AT 0
055784,001575: 12,3523           75457                           SL*      SQRT                                  
055785,001576: 12,3524           20175                                    0          -4,1                       
055786,001577: 12,3525           72405                           DMP      SL1                                   
055787,001578: 12,3526           00021                                    ROOTMU                                
055788,001579: 12,3527           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
055789,001580: 12,3530           03775                                    COGA                                  
055790,001581: 12,3531           74261                           SL       VXSC                                  
055791,001582: 12,3532           20206                                    5                                     
055792,001583: 12,3533           02724                                    UR1                                   
055793,001584: 12,3534           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
055794,001585: 12,3535           76561                           VXSC     VSL1                                  
055795,001586: 12,3536           02676                                    UN                                    
055796,001587: 12,3537           53235                           VXV      VAD                                   
055797,001588: 12,3540           02724                                    UR1                                   #                                PL AT 0
055798,001589: 12,3541           43172                           VSL1     CLEAR                                 
055799,001590: 12,3542           02674                                    SOLNSW                                
055800,001591: 12,3543           02746                           STORE    VVEC                                  
055801,001592: 12,3544           53135                           SLOAD    BZE                                   
055802,001593: 12,3545           02704                                    VTARGTAG                              
055803,001594: 12,3546           25551                                    TARGETV                               
055804,001595: 12,3547           77650                           GOTO                                           
055805,001596: 12,3550           02712                                    RTNLAMB                               
055806,001597: 
055807,001598: 12,3551           45145        TARGETV            DLOAD    CALL                                  
055808,001599: 12,3552           02722                                    MAGVEC2                               
055809,001600: 12,3553           24713                                    LAMENTER                              
055810,001601: 12,3554           36705                           STCALL   VTARGET                               
055811,001602: 12,3555           02712                                    RTNLAMB                               
055812,001603: 

Page 1301

055814,001605: 12,3556           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
055815,001606: 12,3557           02712                                    RTNTR                                 
055816,001607: 12,3560           00001                                    0                                     
055817,001608: 12,3561           77600                           BOV                                            
055818,001609: 12,3562           25563                                    +1                                    
055819,001610: 12,3563           63375                           VLOAD    PDVL                                  #                                PL AT 6
055820,001611: 12,3564           02657                                    RVEC                                  
055821,001612: 12,3565           02746                                    VVEC                                  
055822,001613: 12,3566           77624                           CALL                                           
055823,001614: 12,3567           11634                                    PARAM                                 
055824,001615: 12,3570           71200                           BOV      DLOAD                                 
055825,001616: 12,3571           24776                                    COGAOVFL                              #                                PL AT 0
055826,001617: 12,3572           11613                                    D1/32                                 
055827,001618: 12,3573           41225                           DSU      DMP                                   
055828,001619: 12,3574           02744                                    R1A                                   
055829,001620: 12,3575           02742                                    P                                     
055830,001621: 12,3576           41366                           SQRT     DMP                                   
055831,001622: 12,3577           03775                                    COGA                                  
055832,001623: 12,3600           74212                           SL4      VXSC                                  
055833,001624: 12,3601           02714                                    U2                                    
055834,001625: 12,3602           45325                           PDDL     DSU                                   #                                PL AT 6
055835,001626: 12,3603           11605                                    D1/64                                 
055836,001627: 12,3604           02744                                    R1A                                   
055837,001628: 12,3605           52361                           VXSC     VSU                                   #                                PL AT 0
055838,001629: 12,3606           02724                                    UR1                                   
055839,001630: 12,3607           53512                           VSL4     UNIT                                  
055840,001631: 12,3610           77600                           BOV                                            
055841,001632: 12,3611           25667                                    CIRCULAR                              
055842,001633: 12,3612           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
055843,001634: 12,3613           02760                                    RDESIRED                              #  36D=ECC (+3)
055844,001635: 12,3614           00047                                    X1                                    
055845,001636: 12,3615           41325                           PDDL     DMP                                   #                                PL AT 8
055846,001637: 12,3616           00041                                    R1                                    
055847,001638: 12,3617           02742                                    P                                     
055848,001639: 12,3620           56257                           SL*      DDV                                   #                                PL AT 6
055849,001640: 12,3621           20201                                    0,1                                   
055850,001641: 12,3622           56225                           DSU      DDV                                   
055851,001642: 12,3623           11611                                    D1/16                                 
055852,001643: 12,3624           00045                                    36D                                   #  36D=ECC (+3)
055853,001644: 12,3625           00031                           STORE    COSF                                  
055854,001645: 12,3626           63400                           BOV      DSQ                                   
055855,001646: 12,3627           25673                                    BADR2                                 
055856,001647: 12,3630           50021                           BDSU     BMN                                   
055857,001648: 12,3631           11607                                    D1/4                                  
055858,001649: 12,3632           25673                                    BADR2                                 
055859,001650: 12,3633           75366                           SQRT     SIGN                                  
055860,001651: 12,3634           02757                                    SGNRDOT                               
055861,001652: 12,3635           77614                           CLEAR                                          
055862,001653: 12,3636           04272                                    APSESW                                
055863,001654: 

Page 1302

055865,001656: 12,3637           76561        TERMNVEC           VXSC     VSL1                                  
055866,001657: 12,3640           02676                                    UN                                    
055867,001658: 12,3641           63235                           VXV      PDVL                                  #  VXCH WITH 0D          PL AT 0,6
055868,001659: 12,3642           00001                                    0D                                    
055869,001660: 12,3643           53361                           VXSC     VAD                                   #                        PL AT 0
055870,001661: 12,3644           00031                                    COSF                                  
055871,001662: 12,3645           41572                           VSL1     PUSH                                  #  0D=U2                 PL AT 6
055872,001663: 
055873,001664: 12,3646           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
055874,001665: 12,3647           02724                                    UR1                                   
055875,001666: 12,3650           23756                                    DP1/4                                 
055876,001667: 12,3651           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
055877,001668: 12,3652           25653                                    +1                                    #  CLEAR OVFIND IF SET
055878,001669: 12,3653           26734                           STOVL    CSTH                                  #  CSTH (+1)
055879,001670: 12,3654           02724                                    UR1                                   
055880,001671: 12,3655           76435                           VXV      VSL1                                  
055881,001672: 12,3656           72441                           DOT      SL1                                   
055882,001673: 12,3657           02676                                    UN                                    
055883,001674: 12,3660           16732                           STODL    SNTH                                  #  SNTH (+1)
055884,001675: 12,3661           02742                                    P                                     
055885,001676: 12,3662           77624                           CALL                                           
055886,001677: 12,3663           25001                                    GETX                                  
055887,001678: 12,3664           77614                           CLRGO                                          
055888,001679: 12,3665           02634                                    SOLNSW                                
055889,001680: 12,3666           24761                                    COMMNOUT                              
055890,001681: 
055891,001682: 12,3667           43001        CIRCULAR           SETPD    SETGO                                 
055892,001683: 12,3670           00001                                    0                                     
055893,001684: 12,3671           02434                                    SOLNSW                                
055894,001685: 12,3672           25751                                    ABTCONIC                              
055895,001686: 
055896,001687: 12,3673           75345        BADR2              DLOAD    SIGN                                  
055897,001688: 12,3674           11561                                    LODPHALF                              
055898,001689: 12,3675           00031                                    COSF                                  
055899,001690: 12,3676           14031                           STODL    COSF                                  
055900,001691: 12,3677           11563                                    KEPZERO                               
055901,001692: 12,3700           77614                           SETGO                                          
055902,001693: 12,3701           04032                                    APSESW                                
055903,001694: 12,3702           25637                                    TERMNVEC                              
055904,001695: 

Page 1303

055906,001697: 12,3703           40220        APSIDES            STQ      SETPD                                 #                        PL AT 0
055907,001698: 12,3704           02712                                    RTNAPSE                               
055908,001699: 12,3705           00001                                    0D                                    
055909,001700: 12,3706           77600                           BOV                                            
055910,001701: 12,3707           25710                                    +1                                    
055911,001702: 12,3710           63375                           VLOAD    PDVL                                  #                        PL AT 6
055912,001703: 12,3711           02657                                    RVEC                                  
055913,001704: 12,3712           02746                                    VVEC                                  
055914,001705: 12,3713           77624                           CALL                                           
055915,001706: 12,3714           11634                                    PARAM                                 
055916,001707: 12,3715           77600                           BOV                                            #                        PL AT 0
055917,001708: 12,3716           25717                                    GETECC                                
055918,001709: 12,3717           42405        GETECC             DMP      SL4                                   
055919,001710: 12,3720           02744                                    R1A                                   
055920,001711: 12,3721           75421                           BDSU     SQRT                                  
055921,001712: 12,3722           11605                                    D1/64                                 
055922,001713: 12,3723           02754                           STORE    ECC                                   
055923,001714: 12,3724           65215                           DAD      PDDL                                  #                        PL AT 2
055924,001715: 12,3725           11601                                    D1/8                                  
055925,001716: 12,3726           00041                                    R1                                    
055926,001717: 12,3727           72405                           DMP      SL1                                   
055927,001718: 12,3730           02742                                    P                                     
055928,001719: 12,3731           77671                           DDV                                            #                        PL AT 0
055929,001720: 12,3732           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)    PL AT 2
055930,001721: 12,3733           02744                                    R1A                                   
055931,001722: 12,3734           00047                                    X1                                    
055932,001723: 12,3735           53725                           PDDL     SL*                                   #                        PL AT 4
055933,001724: 12,3736           00041                                    R1                                    
055934,001725: 12,3737           20174                                    0          -5,1                       
055935,001726: 12,3740           45271                           DDV      DSU                                   #                        PL AT 2,0
055936,001727: 12,3741           50000                           BOV      BMN                                   
055937,001728: 12,3742           25746                                    INFINAPO                              
055938,001729: 12,3743           25746                                    INFINAPO                              
055939,001730: 12,3744           77650                           GOTO                                           
055940,001731: 12,3745           02712                                    RTNAPSE                               
055941,001732: 12,3746           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
055942,001733: 12,3747           11574                                    LDPOSMAX                              
055943,001734: 12,3750           02712                                    RTNAPSE                               #  THAT PL IS AT 0.
055944,001735: 

Page 1304

055946,001737: 12,3751           77776        ABTCONIC           EXIT                                           
055947,001738: 12,3752           05721                           TC       POODOO                                
055948,001739: 12,3753           00607                           OCT      00607                                 
055949,001740: 

Page 1305

055951,001742: 04,2000                                           SETLOC   CONICS1                               
055952,001743: 04,2000                                           BANK                                           
055953,001744: 
055954,001745: 04,3734                                           COUNT    04/CONIC                              
055955,001746: 
055956,001747: 04,3734           22437 16067  MUTABLE            2DEC*    3.986032   E10        B-36*           #  MUE
055957,001748: 
055958,001749: 04,3736           15625 21042                     2DEC*    .25087606  E-10       B+34*           #  1/MUE
055959,001750: 
055960,001751: 04,3740           30276 04773                     2DEC*    1.99650495 E5         B-18*           #  SQRT(MUE)
055961,001752: 
055962,001753: 04,3742           25004 06702                     2DEC*    .50087529  E-5        B+17*           #  1/SQRT(MUE)
055963,001754: 
055964,001755: 04,3744           16471 01352                     2DEC     4.902778   E8         B-30            #  MUM
055965,001756: 
055966,001757: 04,3746           21412 20500                     2DEC     .203966    E-8        B+28            #  1/MUM
055967,001758: 
055968,001759: 04,3750           25477 03367                     2DEC*    2.21422176 E4         B-15*           #  SQRT(MUM)
055969,001760: 
055970,001761: 04,3752           27533 07571                     2DEC*    .45162595  E-4        B+14*           #  1/SQRT(MUM)
055971,001762: 
055972,001763: 04,3754  04,3573               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
055973,001764: 
055974,001765:                                                                                                  #  ERASABLE ASSIGNMENTS
055975,001766: 
055976,001767:                                                                                                  #  KEPLER SUBROUTINE
055977,001768: 
055978,001769:                                                                                                  #  INPUT -
055979,001770:                                                                                                  #  RRECT         ERASE   +5
055980,001771:                                                                                                  #  VRECT         ERASE   +5
055981,001772:                                                                                                  #  TAU.          ERASE   +1
055982,001773:                                                                                                  #  XKEP          ERASE   +1
055983,001774:                                                                                                  #  TC            ERASE   +1
055984,001775:                                                                                                  #  XPREV         ERASE   +1
055985,001776: 04,3754                        1/MU               EQUALS   14D                                   
055986,001777: 04,3754                        ROOTMU             EQUALS   16D                                   
055987,001778: 04,3754                        1/ROOTMU           EQUALS   18D                                   
055988,001779: 
055989,001780:                                                                                                  #  OUTPUT -
055990,001781:                                                                                                  #  RCV           ERASE   +5
055991,001782:                                                                                                  #  VCV           ERASE   +5
055992,001783:                                                                                                  #  RC            ERASE   +1
055993,001784:                                                                                                  #  XPREV         ERASE   +1
055994,001785: 
055995,001786:                                                                                                  #  DEBRIS -
055996,001787: 04,3754                        ALPHA              EQUALS   8D                                    
055997,001788: 04,3754                        XMAX               EQUALS   10D                                   

Page 1306

055999,001790: 04,3754                        XMIN               EQUALS   12D                                   
056000,001791: 04,3754                        X                  EQUALS   20D                                   
056001,001792: 04,3754                        XI                 EQUALS   24D                                   
056002,001793: 04,3754                        S(XI)              EQUALS   26D                                   
056003,001794: 04,3754                        XSQC(XI)           EQUALS   28D                                   
056004,001795: 04,3754                        T                  EQUALS   30D                                   
056005,001796: 04,3754                        R1                 EQUALS   32D                                   
056006,001797: 04,3754                        KEPC1              EQUALS   34D                                   
056007,001798: 04,3754                        KEPC2              EQUALS   36D                                   
056008,001799: 
056009,001800:                                                                                                  #  DELX          ERASE   +1
056010,001801:                                                                                                  #  DELT          ERASE   +1
056011,001802:                                                                                                  #  URRECT        ERASE   +5
056012,001803:                                                                                                  #  RCNORM        ERASE   +1
056013,001804:                                                                                                  #  XPREV         EQUALS  XKEP
056014,001805: 
056015,001806: 
056016,001807:                                                                                                  #  LAMBERT SUBROUTINE
056017,001808: 
056018,001809:                                                                                                  #  INPUT -
056019,001810:                                                                                                  #  R1VEC         ERASE   +5
056020,001811:                                                                                                  #  R2VEC         ERASE   +5
056021,001812:                                                                                                  #  TDESIRED      ERASE   +1
056022,001813:                                                                                                  #  GEOMSGN       ERASE   +0
056023,001814:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
056024,001815:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
056025,001816:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
056026,001817:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
056027,001818:                                                                                                  #  VTARGTAG      ERASE   +0
056028,001819:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
056029,001820: 
056030,001821:                                                                                                  #  OUTPUT -
056031,001822:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
056032,001823:                                                                                                  #  V1VEC         EQUALS  MPAC
056033,001824: 
056034,001825:                                                                                                  #  DEBRIS -
056035,001826:                                                                                                  #  RTNLAMB       ERASE   +0
056036,001827:                                                                                                  #  U2            ERASE   +5
056037,001828:                                                                                                  #  MAGVEC2       ERASE   +1
056038,001829:                                                                                                  #  UR1           ERASE   +5
056039,001830:                                                                                                  #  R1            EQUALS  31D
056040,001831:                                                                                                  #  UN            ERASE   +5
056041,001832:                                                                                                  #  SNTH          ERASE   +1
056042,001833:                                                                                                  #  CSTH          ERASE   +1
056043,001834:                                                                                                  #  1-CSTH        ERASE   +1
056044,001835:                                                                                                  #  CSTH-RHO      ERASE   +1
056045,001836: 
056046,001837: 04,3754                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
056047,001838: 04,3754                        COGAMIN            EQUALS   8D                                    
056048,001839: 04,3754                        DCOGA              EQUALS   12D                                   
056049,001840: 
056050,001841:                                                                                                  #  TWEEKIT       EQUALS  40D
056051,001842:                                                                                                  #  P             ERASE   +1

Page 1307

056053,001844:                                                                                                  #  COGA          ERASE   +1
056054,001845:                                                                                                  #  R1A           ERASE   +1
056055,001846:                                                                                                  #  X             EQUALS  20D
056056,001847:                                                                                                  #  XSQ           EQUALS  22D
056057,001848:                                                                                                  #  XI            EQUALS  24D
056058,001849:                                                                                                  #  S(XI)         EQUALS  26D
056059,001850:                                                                                                  #  XSQC(XI)      EQUALS  28D
056060,001851:                                                                                                  #  T             EQUALS  30D
056061,001852:                                                                                                  #  KEPC1         EQUALS  34D
056062,001853:                                                                                                  #  KEPC2         EQUALS  36D
056063,001854:                                                                                                  #  SLOPESW
056064,001855:                                                                                                  #  SOLNSW
056065,001856: 
056066,001857:                                                                                                  #  OTHERS -
056067,001858:                                                                                                  #  RVEC          EQUALS  R1VEC
056068,001859:                                                                                                  #  VVEC          ERASE   +5
056069,001860:                                                                                                  #  COGAFLAG
056070,001861:                                                                                                  #  RVSW
056071,001862:                                                                                                  #  INFINFLG
056072,001863:                                                                                                  #  APSESW
056073,001864:                                                                                                  #  360SW
056074,001865:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
056075,001866:                                                                                                  #  ECC           ERASE   +1
056076,001867:                                                                                                  #  RTNTR         EQUALS  RTNLAMB
056077,001868:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
056078,001869:                                                                                                  #  R2            EQUALS  MAGVEC2
056079,001870: 
056080,001871: 04,3754                        COSF               EQUALS   24D                                   
056081,001872: 
056082,001873:                                                                                                  #  RTNPRM        ERASE   +0
056083,001874:                                                                                                  #  SGNRDOT       ERASE   +0
056084,001875:                                                                                                  #  RDESIRED      ERASE   +1
056085,001876: 
056086,001877: 
056087,001878:                                                                                                  #  ITERATOR SUBROUTINE
056088,001879: 
056089,001880:                                                                                                  #  ORDERSW
056090,001881: 04,3754                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
056091,001882: 04,3754                        MIN                EQUALS   8D                                    
056092,001883: 
056093,001884:                                                                                                  #  INDEP         ERASE   +1
056094,001885: 
056095,001886: 04,3754                        DELINDEP           EQUALS   12D                                   
056096,001887: 04,3754                        ITERCTR            EQUALS   22D                                   
056097,001888: 04,3754                        DEP                EQUALS   30D                                   
056098,001889: 
056099,001890:                                                                                                  #  DELDEP        ERASE   +1
056100,001891:                                                                                                  #  DEPREV        ERASE   +1
056101,001892: 
056102,001893: 04,3754                        TWEEKIT            EQUALS   40D                                   
056103,001894: 
056104,001895: 
056105,001896:                                                                                                  #  MORE KEPLER
056106,001897: 
056107,001898:                                                                                                  #  EPSILONT      ERASE   +1
056108,001899: 

Page 1308

056110,001901:                                                                                                  #  MORE LAMBERT
056111,001902: 
056112,001903:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
056113,001904:                                                                                                  #  TPREV         EQUALS  DEPREV
056114,001905: 
056115,001906:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD
056116,001907: 
056117,001908: 

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