Source Code

These source-code files were derived from scans of the Colossus 237 (Apollo 8 Command Module) program listing from the private collection of original AGC developer Fred Martin. Scanning was by Ron Burkey. Pre-existing Colossus 249 (Apollo 9 CM) source files were used as a template, and changes between Colossus 249 and Colossus 237 were manually transcribed by a team of volunteers. Note that the page images presented online are of reduced quality, and that additional images are available. Report any conversion errors or legibility problems in page images to info@sandroid.org. Notations on the program listing read, in part:

	GAP: ASSEMBLE REVISION 237 OF AGC PROGRAM COLOSSUS 
	BY NASA 2021111-031  1:17 AUG. 24, 1968
Note that the date is the date of the printout, not the date of the program revision.

052131,000002:                                                                                                  ## Copyright:   Public domain.
052132,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
052133,000004:                                                                                                  ## Purpose:     Part of the source code for Colossus build 237.
052134,000005:                                                                                                  ##              This is for the Command Module's (CM) Apollo Guidance
052135,000006:                                                                                                  ##              Computer (AGC), for Apollo 8.
052136,000007:                                                                                                  ## Assembler:   yaYUL
052137,000008:                                                                                                  ## Contact:     Jim Lawton <jim DOT lawton AT gmail DOT com>
052138,000009:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
052139,000010:                                                                                                  ## Page Scans:  www.ibiblio.org/apollo/ScansForConversion/Colossus237/
052140,000011:                                                                                                  ## Mod history: 2011-04-13 JL   Adapted from corresponding Colossus 249 file.
052141,000012:                                                                                                  ##              2011-04-17 JL   Removed temporary line.
052142,000013:                                                                                                  ##              2017-01-01 RSB  Proofed comment text using octopus/ProoferComments,
052143,000014:                                                                                                  ##                              and fixed errors found.
052144,000015:                                                                                                  ##              2017-01-07 RSB  Fixed comment errors detected in cross-diff vs
052145,000016:                                                                                                  ##                              Colossus 249.
052146,000017:                                                                                                  ##              2017-01-21 RSB  Back-ported comment error fixes detected in diff'ing
052147,000018:                                                                                                  ##                              Artemis 72 vs Comanche 55.
052148,000019:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH.
052149,000020:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
052150,000021:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
052151,000022:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
052152,000023: 

Page 1228

052154,000025:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION                       DATE - 1 SEPTEMBER 1967
052155,000026:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
052156,000027:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
052157,000028: 
052158,000029: 
052159,000030: 
052160,000031:                                                                                                  #  FUNCTIONAL DESCRIPTION -
052161,000032: 
052162,000033:                                                                                                  #       THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
052163,000034:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
052164,000035:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
052165,000036:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
052166,000037:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
052167,000038:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
052168,000039:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
052169,000040:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
052170,000041:                                                                                                  #  TINES APPROPRIATELY.
052171,000042:                                                                                                  #       DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
052172,000043:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
052173,000044:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
052174,000045: 
052175,000046: 
052176,000047:                                                                                                  #  RESTRICTIONS -
052177,000048: 
052178,000049:                                                                                                  #       THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
052179,000050:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
052180,000051:                                                                                                  #  TORIES COULD BE HANDLED.
052181,000052:                                                                                                  #       SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
052182,000053:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
052183,000054:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
052184,000055: 

Page 1229

052186,000057:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                                 DATE - 11 OCTOBER 1967
052187,000058:                                                                                                  #  MOD NO. -1                                                                       LOG SECTION - CONIC SUBROUTINES
052188,000059:                                                                                                  #  MOD BY KRAUSE                                                           ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
052189,000060: 
052190,000061: 
052191,000062: 
052192,000063:                                                                                                  #  FUNCTIONAL DESCRIPTION -
052193,000064:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
052194,000065:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
052195,000066:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
052196,000067:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
052197,000068:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
052198,000069:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
052199,000070:                                                                                                  #       IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
052200,000071:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
052201,000072:                                                                                                  #       IF THE DESIRED TRANSFER TIME IS POSITIVE AND EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A MODULAR
052202,000073:                                                                                                  #  TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME AS USUAL.
052203,000074: 
052204,000075: 
052205,000076: 
052206,000077:                                                                                                  #  THE RESTRICTIONS ARE -
052207,000078:                                                                                                  #       1. A NEGATIVE DESIRED TIME MUST BE LESS THAN ONE PERIOD IN MAGNITUDE.  IF GREATER, THE ONE-PERIOD- SOLUTION
052208,000079:                                                                                                  #  WILL BE RETURNED.
052209,000080:                                                                                                  #       2.  THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
052210,000081:                                                                                                  #  ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
052211,000082: 
052212,000083: 
052213,000084:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
052214,000085:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
052215,000086:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
052216,000087: 
052217,000088: 
052218,000089: 
052219,000090:                                                                                                  #  REFERENCES -
052220,000091:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
052221,000092:                                                                                                  #  MEMO 67-4.
052222,000093: 
052223,000094: 
052224,000095: 
052225,000096:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
052226,000097: 
052227,000098:                                                                                                  #          * SCALE FACTOR *
052228,000099:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052229,000100:                                                                                                  #  --------*--------------*                         -----------------------
052230,000101:                                                                                                  #  RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
052231,000102:                                                                                                  #          * +27 FOR MOON *
052232,000103:                                                                                                  #  VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
052233,000104:                                                                                                  #          * +5 FOR MOON  *
052234,000105:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
052235,000106:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
052236,000107:                                                                                                  #  TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)

Page 1230

052238,000109:                                                                                                  #  XKEPNEW * +17 FOR EARTH*GUESS OF X IN METERS-TO-THE-ONE-HALF FROM KEPPREP
052239,000110:                                                                                                  #          * +16 FOR MOON *(DP)
052240,000111:                                                                                                  #  TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS FROM KEPPREP
052241,000112:                                                                                                  #  XPREV   * +17 FOR EARTH*PREVIOUS VALUE OF X IN METERS-TO-THE-ONE-HALF POWER FROM KEPPREP (DP)
052242,000113:                                                                                                  #          * +16 FOR MOON *(DP)
052243,000114: 
052244,000115: 
052245,000116: 
052246,000117:                                                                                                  #  SUBROUTINES CALLED -
052247,000118:                                                                                                  #       DELTIME
052248,000119: 
052249,000120: 
052250,000121: 
052251,000122:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
052252,000123: 
052253,000124:                                                                                                  #  KEPRTN-2 GOTO                   MUST BE IN INTERPRETIVE MODE AND OVFIND MUST BE CLEAR
052254,000125:                                                                                                  #  KEPRTN-1        KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
052255,000126:                                                                                                  #  KEPRTN   ...                    CONTINUE
052256,000127: 
052257,000128:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
052258,000129:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
052259,000130:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
052260,000131: 
052261,000132: 
052262,000133: 
052263,000134:                                                                                                  #  ABORT EXIT MODES -
052264,000135:                                                                                                  #       NONE
052265,000136: 
052266,000137: 
052267,000138: 
052268,000139:                                                                                                  #  OUTPUT -
052269,000140: 
052270,000141:                                                                                                  #          * SCALE FACTOR *
052271,000142:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052272,000143:                                                                                                  #  --------*--------------*                         -----------------------
052273,000144:                                                                                                  #  RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
052274,000145:                                                                                                  #          * +27 FOR MOON *
052275,000146:                                                                                                  #  VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
052276,000147:                                                                                                  #          * +5 FOR MOON  *
052277,000148:                                                                                                  #  TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.
052278,000149:                                                                                                  #  XPREV   * +17 FOR EARTH*DP X IN METERS-TO-THE-ONE-HALF-POWER TO WHCIH KEPLER CONVERGED.
052279,000150:                                                                                                  #          * +16 FOR MOON *(DP)
052280,000151:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
052281,000152: 
052282,000153: 
052283,000154:                                                                                                  #  DEBRIS -
052284,000155: 
052285,000156:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
052286,000157: 

Page 1231

052288,000159:                                                                                                  #          * SCALE FACTOR *
052289,000160:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052290,000161:                                                                                                  #  --------*--------------*                         -----------------------
052291,000162:                                                                                                  #  URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
052292,000163:                                                                                                  #  R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
052293,000164:                                                                                                  #          * +27 FOR MOON *
052294,000165:                                                                                                  #  ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
052295,000166:                                                                                                  #          * -20 FOR MOON *
052296,000167:                                                                                                  #  TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN  CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
052297,000168:                                                                                                  #          *              *TAU. OF LESS THAN ONE PERIOD.
052298,000169: 
052299,000170:                                                                                                  #       PARAMETERS OF NO USE -
052300,000171:                                                                                                  #  DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
052301,000172: 

Page 1232

052303,000174:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
052304,000175:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
052305,000176:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
052306,000177: 
052307,000178: 
052308,000179: 
052309,000180:                                                                                                  #  FUNCTIONAL DESCRIPTION -
052310,000181: 
052311,000182:                                                                                                  #       THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
052312,000183:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
052313,000184:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
052314,000185:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
052315,000186:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
052316,000187:                                                                                                  #  UTILIZED IN THE COMPUTATION.
052317,000188: 
052318,000189: 
052319,000190:                                                                                                  #  THE RESTRICTIONS ARE -
052320,000191:                                                                                                  #       1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
052321,000192:                                                                                                  #       2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
052322,000193:                                                                                                  #       3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
052323,000194:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
052324,000195:                                                                                                  #       4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
052325,000196:                                                                                                  #       5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
052326,000197:                                                                                                  #  LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
052327,000198:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
052328,000199:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                THE AGC COMPUTATION TIME IS APPROXIMATE-
052329,000200:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
052330,000201: 
052331,000202: 
052332,000203: 
052333,000204:                                                                                                  #  REFERENCES -
052334,000205:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8,
052335,000206:                                                                                                  #  SGA MEMO 67-4.
052336,000207: 
052337,000208: 
052338,000209: 
052339,000210:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
052340,000211: 
052341,000212:                                                                                                  #          * SCALE FACTOR *
052342,000213:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052343,000214:                                                                                                  #  --------*--------------*                         -----------------------
052344,000215:                                                                                                  #  R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
052345,000216:                                                                                                  #          * +27 FOR MOON *
052346,000217:                                                                                                  #  R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
052347,000218:                                                                                                  #          * +27 FOR MOON *
052348,000219:                                                                                                  #  TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
052349,000220:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
052350,000221:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
052351,000222:                                                                                                  #  GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
052352,000223:                                                                                                  #  GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1233

052354,000225:                                                                                                  #          *              *COGA IS TO BE USED BY LAMBERT
052355,000226:                                                                                                  #  COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
052356,000227:                                                                                                  #                         *IGNORED IF GUESSW IS SET.
052357,000228:                                                                                                  #  NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
052358,000229:                                                                                                  #          *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
052359,000230:                                                                                                  #  UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
052360,000231:                                                                                                  #          *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
052361,000232:                                                                                                  #  VTARGTAG*NONE          *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
052362,000233:                                                                                                  #          *              *AT R1VEC.
052363,000234: 
052364,000235: 
052365,000236: 
052366,000237:                                                                                                  #  SUBROUTINES CALLED -
052367,000238:                                                                                                  #       GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
052368,000239: 
052369,000240: 
052370,000241: 
052371,000242:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
052372,000243: 
052373,000244:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE AND OVFIND MUST BE CLEAR
052374,000245:                                                                                                  #  L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
052375,000246:                                                                                                  #                                  IN MPAC IF VTARGTAG WAS ZERO
052376,000247:                                                                                                  #  L+2      BON                    CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
052377,000248:                                                                                                  #  L+3             SOLNSW
052378,000249:                                                                                                  #  L+4             LAMABORT
052379,000250:                                                                                                  #       IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
052380,000251:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
052381,000252: 
052382,000253: 
052383,000254: 
052384,000255:                                                                                                  #  ABORT EXIT MODES -
052385,000256:                                                                                                  #       IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
052386,000257:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
052387,000258:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
052388,000259:                                                                                                  #  LAMABORT DLOAD  ABS                      A MEASURE OF PROXIMITY TO 0 OR
052389,000260:                                                                                                  #                  1-CSTH                   360 DEGREES.
052390,000261:                                                                                                  #           DSU    BMN
052391,000262:                                                                                                  #                  ONEBIT
052392,000263:                                                                                                  #                  CHANGER2                 CHANGE R2VEC DIRECTION SLIGHTLY.
052393,000264:                                                                                                  #           DLOAD  DAD
052394,000265:                                                                                                  #                  TDESIRED
052395,000266:                                                                                                  #                  SOMETIME
052396,000267:                                                                                                  #           STCALL TDESIRED                 INCREASE TDESIRED
052397,000268:                                                                                                  #                  LAMBERT
052398,000269: 
052399,000270: 
052400,000271: 
052401,000272:                                                                                                  #  OUTPUT -
052402,000273:                                                                                                  #          * SCALE FACTOR *
052403,000274:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS

Page 1234

052405,000276:                                                                                                  #  --------*--------------*                         -----------------------
052406,000277:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
052407,000278:                                                                                                  #          * +5 FOR MOON  *PROBLEM.
052408,000279:                                                                                                  #  VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
052409,000280:                                                                                                  #          * +5 FOR MOON  *
052410,000281:                                                                                                  #  SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
052411,000282:                                                                                                  #          *              *SOLUTION EXISTS.
052412,000283:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
052413,000284: 
052414,000285: 
052415,000286: 
052416,000287:                                                                                                  #  DEBRIS -
052417,000288:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
052418,000289: 
052419,000290:                                                                                                  #          * SCALE FACTOR *
052420,000291:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052421,000292:                                                                                                  #  --------*--------------*                         -----------------------
052422,000293:                                                                                                  #  SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
052423,000294:                                                                                                  #  CSTH    * +1           *DP COSINE OF ANGLE
052424,000295:                                                                                                  #  1-CSTH  * +2           *DP 1-CSTH
052425,000296:                                                                                                  #  COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
052426,000297:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
052427,000298:                                                                                                  #  R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
052428,000299:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
052429,000300:                                                                                                  #          * +27 FOR MOON *
052430,000301:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF R1VEC
052431,000302:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF R2VEC
052432,000303: 
052433,000304:                                                                                                  #       PARAMETERS OF NO USE
052434,000305:                                                                                                  #  DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
052435,000306:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
052436,000307: 

Page 1235

052438,000309:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                                     DATE - 1 SEPTEMBER 1967
052439,000310:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
052440,000311:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
052441,000312: 
052442,000313: 
052443,000314: 
052444,000315:                                                                                                  #  FUNCTIONAL DESCRIPTION -
052445,000316: 
052446,000317:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
052447,000318:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
052448,000319:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
052449,000320:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
052450,000321:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
052451,000322:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
052452,000323: 
052453,000324: 
052454,000325:                                                                                                  #  THE RESTRICTIONS ARE -
052455,000326:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
052456,000327:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
052457,000328:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
052458,000329:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
052459,000330: 
052460,000331:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
052461,000332: 
052462,000333: 
052463,000334: 
052464,000335:                                                                                                  #  REFERENCES -
052465,000336:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
052466,000337: 
052467,000338: 
052468,000339: 
052469,000340:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
052470,000341: 
052471,000342:                                                                                                  #          * SCALE FACTOR *
052472,000343:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052473,000344:                                                                                                  #  --------*--------------*                         -----------------------
052474,000345:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
052475,000346:                                                                                                  #          * +27 FOR MOON *
052476,000347:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
052477,000348:                                                                                                  #          * +5 FOR MOON  *
052478,000349:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
052479,000350:                                                                                                  #  CSTH    * +1           *DP COSINE OF THE ANGLE
052480,000351:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
052481,000352:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
052482,000353:                                                                                                  #  X1 (38D)*NONE          *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
052483,000354:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
052484,000355: 
052485,000356: 
052486,000357: 
052487,000358:                                                                                                  #  SUBROUTINES CALLED -

Page 1236

052489,000360:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
052490,000361: 
052491,000362: 
052492,000363: 
052493,000364:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
052494,000365: 
052495,000366:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
052496,000367:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE AND OVFIND MUST BE CLEAR
052497,000368:                                                                                                  #  L+1             RVSW
052498,000369:                                                                                                  #  L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
052499,000370:                                                                                                  #  L+3      ...                    CONTINUE
052500,000371: 
052501,000372: 
052502,000373:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
052503,000374:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE AND OVFIND MUST BE CLEAR
052504,000375:                                                                                                  #  L+1             RVSW
052505,000376:                                                                                                  #  L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
052506,000377:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
052507,000378:                                                                                                  #  L+3      STOVL  NEWVVEC
052508,000379:                                                                                                  #  L+4      STADR
052509,000380:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
052510,000381:                                                                                                  #  L+6      ...                            CONTINUE
052511,000382: 
052512,000383: 
052513,000384: 
052514,000385:                                                                                                  #  ABORT EXIT MODES -
052515,000386:                                                                                                  #  L        CALL   BON
052516,000387:                                                                                                  #  L+1             TIMETHET
052517,000388:                                                                                                  #  L+2             COGAFLAG
052518,000389:                                                                                                  #  L+3             COGABORT                RESTRICTION 1 HAS BEEN VIOLATED.
052519,000390:                                                                                                  #  L+4      BON                            IF NEITHER FLAG IS SET AND RESTRICTION 2 HAS NOT BEEN VIOLATED, THE SOLUTION IS
052520,000391:                                                                                                  #                                          GOOD, SO CONTINUE
052521,000392:                                                                                                  #  L+5             INFINFLG
052522,000393:                                                                                                  #  L+6             IMPOSSBL                NO SOLUTION EXISTS.
052523,000394: 
052524,000395: 
052525,000396: 
052526,000397:                                                                                                  #  OUTPUT -
052527,000398:                                                                                                  #          * SCALE FACTOR *
052528,000399:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052529,000400:                                                                                                  #  --------*--------------*                         -----------------------
052530,000401:                                                                                                  #  T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
052531,000402:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
052532,000403:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
052533,000404:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
052534,000405:                                                                                                  #          *              *CLEAR IF NOT.
052535,000406: 
052536,000407:                                                                                                  #  IN ADDITION, IF VTARGTAG IS NON-ZERO, THE FOLLOWING ARE OUTPUT -
052537,000408:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
052538,000409:                                                                                                  #   MPAC+5 * +5 FOR MOON  *

Page 1237

052540,000411:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
052541,000412:                                                                                                  #          * +27 FOR MOON *
052542,000413: 
052543,000414:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
052544,000415: 
052545,000416: 
052546,000417: 
052547,000418:                                                                                                  #  DEBRIS -
052548,000419: 
052549,000420:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
052550,000421: 
052551,000422:                                                                                                  #          * SCALE FACTOR *
052552,000423:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052553,000424:                                                                                                  #  --------*--------------*                         -----------------------
052554,000425:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
052555,000426:                                                                                                  #          * +27 FOR MOON *
052556,000427:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
052557,000428:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
052558,000429:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
052559,000430:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
052560,000431:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
052561,000432:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
052562,000433: 
052563,000434: 
052564,000435:                                                                                                  #       PARAMETERS OF NO USE -
052565,000436:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
052566,000437:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
052567,000438: 
052568,000439: 

Page 1238

052570,000441:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE                            DATE - 11 OCTOBER 1967
052571,000442:                                                                                                  #  MOD NO. -1                                                                      LOG SECTION - CONIC SUBROUTINES
052572,000443:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
052573,000444: 
052574,000445: 
052575,000446: 
052576,000447:                                                                                                  #  FUNCTIONAL DESCRIPTION -
052577,000448: 
052578,000449:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
052579,000450:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
052580,000451:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
052581,000452:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
052582,000453:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
052583,000454:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
052584,000455:                                                                                                  #       IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
052585,000456:                                                                                                  #  APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
052586,000457: 
052587,000458: 
052588,000459:                                                                                                  #  THE RESTRICTIONS ARE -
052589,000460:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
052590,000461:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
052591,000462:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
052592,000463:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
052593,000464:                                                                                                  #       3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
052594,000465:                                                                                                  #  RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
052595,000466:                                                                                                  #  PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
052596,000467: 
052597,000468: 
052598,000469:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
052599,000470: 
052600,000471: 
052601,000472: 
052602,000473:                                                                                                  #  REFERENCES -
052603,000474:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
052604,000475: 
052605,000476: 
052606,000477: 
052607,000478:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
052608,000479: 
052609,000480:                                                                                                  #          * SCALE FACTOR *
052610,000481:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052611,000482:                                                                                                  #  --------*--------------*                         -----------------------
052612,000483:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
052613,000484:                                                                                                  #          * +27 FOR MOON *
052614,000485:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
052615,000486:                                                                                                  #          * +5 FOR MOON  *
052616,000487:                                                                                                  #  RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
052617,000488:                                                                                                  #          * +27 FOR MOON *COMPUTED.
052618,000489:                                                                                                  #  SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
052619,000490:                                                                                                  #          *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1239

052621,000492:                                                                                                  #          *              *SINGLE-VALUED PROBLEM.
052622,000493:                                                                                                  #  X1 (38D)*NONE          *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
052623,000494:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
052624,000495:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
052625,000496:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
052626,000497: 
052627,000498: 
052628,000499: 
052629,000500:                                                                                                  #  SUBROUTINES CALLED -
052630,000501:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
052631,000502: 
052632,000503: 
052633,000504: 
052634,000505:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
052635,000506: 
052636,000507:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
052637,000508:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE AND OVFIND MUST BE CLEAR
052638,000509:                                                                                                  #  L+1             RVSW
052639,000510:                                                                                                  #  L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
052640,000511:                                                                                                  #  L+3      ...                    CONTINUE
052641,000512: 
052642,000513: 
052643,000514:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
052644,000515:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE AND OVFIND MUST BE CLEAR
052645,000516:                                                                                                  #  L+1             RVSW
052646,000517:                                                                                                  #  L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
052647,000518:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
052648,000519:                                                                                                  #  L+3      STOVL  NEWVVEC
052649,000520:                                                                                                  #  L+4      STADR
052650,000521:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
052651,000522:                                                                                                  #  L+6      ...                            CONTINUE
052652,000523: 
052653,000524: 
052654,000525: 
052655,000526:                                                                                                  #  ABORT EXIT MODES -
052656,000527:                                                                                                  #  L        CALL   BON
052657,000528:                                                                                                  #  L+1             TIMERAD
052658,000529:                                                                                                  #  L+2             COGAFLAG
052659,000530:                                                                                                  #  L+3             COGABORT        RESTRICTION 1 HAS BEEN VIOLATED.
052660,000531:                                                                                                  #  L+4      BON    BON
052661,000532:                                                                                                  #  L+5             INFINFLG
052662,000533:                                                                                                  #  L+6             IMPOSSBL        NO SOLUTION EXISTS.
052663,000534:                                                                                                  #  L+7             SOLNSW
052664,000535:                                                                                                  #  L+8             IMPOSSBL        SOLUTION IS UNDEFINED SINCE CONIC IS A CIRCLE.  RESTRICTION 3 HAS BEEN VIOLATED.
052665,000536:                                                                                                  #  L+9      ...                    IF ALL THREE OF THE FLAGS ARE CLEAR, A SOLUTION EXISTS, SO CONTINUE.
052666,000537: 
052667,000538: 
052668,000539: 
052669,000540:                                                                                                  #  OUTPUT -
052670,000541:                                                                                                  #          * SCALE FACTOR *

Page 1240

052672,000543:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052673,000544:                                                                                                  #  --------*--------------*                         -----------------------
052674,000545:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
052675,000546:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
052676,000547:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
052677,000548:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
052678,000549:                                                                                                  #          *              *CLEAR IF NOT.
052679,000550:                                                                                                  #  APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR
052680,000551:                                                                                                  #          *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
052681,000552:                                                                                                  #          *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
052682,000553:                                                                                                  #          *              *APOCENTER.
052683,000554:                                                                                                  #  SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
052684,000555:                                                                                                  #                         *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
052685,000556:                                                                                                  #                         *MINUS-18, THE SWITCH IS CLEAR.
052686,000557: 
052687,000558: 
052688,000559:                                                                                                  #  IN ADDITION, IF VTARGTAG IS NON-ZERO, THE FOLLOWING ARE OUTPUT -
052689,000560: 
052690,000561:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
052691,000562:                                                                                                  #   MPAC +5* +5 FOR MOON  *
052692,000563:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
052693,000564:                                                                                                  #          * +27 FOR MOON *
052694,000565: 
052695,000566:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
052696,000567: 
052697,000568: 
052698,000569: 
052699,000570:                                                                                                  #  DEBRIS -
052700,000571: 
052701,000572:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
052702,000573: 
052703,000574:                                                                                                  #          * SCALE FACTOR *
052704,000575:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052705,000576:                                                                                                  #  --------*--------------*                         -----------------------
052706,000577:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
052707,000578:                                                                                                  #          * +27 FOR MOON *
052708,000579:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
052709,000580:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
052710,000581:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
052711,000582:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
052712,000583:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
052713,000584:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
052714,000585:                                                                                                  #  CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
052715,000586:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
052716,000587: 
052717,000588: 
052718,000589:                                                                                                  #       PARAMETERS OF NO USE -
052719,000590:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
052720,000591:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
052721,000592: 
052722,000593: 

Page 1241

052724,000595:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
052725,000596:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
052726,000597:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
052727,000598: 
052728,000599: 
052729,000600: 
052730,000601:                                                                                                  #  FUNCTIONAL DESCRIPTION -
052731,000602: 
052732,000603:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
052733,000604:                                                                                                  #  ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
052734,000605:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
052735,000606:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
052736,000607:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
052737,000608: 
052738,000609: 
052739,000610:                                                                                                  #  THE RESTRICTIONS ARE -
052740,000611:                                                                                                  #       1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
052741,000612:                                                                                                  #  TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
052742,000613:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
052743,000614:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
052744,000615: 
052745,000616:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
052746,000617: 
052747,000618: 
052748,000619: 
052749,000620:                                                                                                  #  REFERENCES -
052750,000621:                                                                                                  #       MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
052751,000622: 
052752,000623: 
052753,000624: 
052754,000625:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
052755,000626: 
052756,000627:                                                                                                  #          * SCALE FACTOR *
052757,000628:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052758,000629:                                                                                                  #  --------*--------------*                         -----------------------
052759,000630:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
052760,000631:                                                                                                  #          * +27 FOR MOON *
052761,000632:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
052762,000633:                                                                                                  #          * +5 FOR MOON  *
052763,000634:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
052764,000635:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
052765,000636: 
052766,000637: 
052767,000638: 
052768,000639:                                                                                                  #  SUBROUTINES CALLED -
052769,000640:                                                                                                  #       PARAM, GEOM
052770,000641: 
052771,000642: 
052772,000643: 
052773,000644:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1242

052775,000646:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
052776,000647:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE AND OVFIND MUST BE CLEAR.
052777,000648:                                                                                                  #  L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
052778,000649:                                                                                                  #  L+2      STODL  APOAPSE
052779,000650:                                                                                                  #  L+3             0D
052780,000651:                                                                                                  #  L+4      STORE  PERIAPSE                APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
052781,000652:                                                                                                  #  L+5      ...                    CONTINUE
052782,000653: 
052783,000654: 
052784,000655: 
052785,000656:                                                                                                  #  OUTPUT -
052786,000657:                                                                                                  #          * SCALE FACTOR *
052787,000658:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052788,000659:                                                                                                  #  --------*--------------*                         -----------------------
052789,000660:                                                                                                  #  MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
052790,000661:                                                                                                  #          * +27 FOR MOON *
052791,000662:                                                                                                  #  0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
052792,000663:                                                                                                  #          * +27 FOR MOON *
052793,000664:                                                                                                  #  ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
052794,000665: 
052795,000666:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
052796,000667: 
052797,000668: 
052798,000669: 
052799,000670:                                                                                                  #  DEBRIS -
052800,000671: 
052801,000672:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
052802,000673: 
052803,000674:                                                                                                  #          * SCALE FACTOR *
052804,000675:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
052805,000676:                                                                                                  #  --------*--------------*                         -----------------------
052806,000677:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
052807,000678:                                                                                                  #          * +27 FOR MOON *
052808,000679:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
052809,000680:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
052810,000681:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
052811,000682:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
052812,000683:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
052813,000684:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
052814,000685:                                                                                                  #  MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
052815,000686:                                                                                                  #          * +5 FOR MOON  *
052816,000687: 
052817,000688: 
052818,000689:                                                                                                  #       PARAMETERS OF NO USE -
052819,000690:                                                                                                  #  SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5,10D-11D, 14D-21D, 31D-38D.
052820,000691:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
052821,000692: 
052822,000693: 
052823,000694: 
052824,000695: 12,2000                                           SETLOC   CONICS                                

Page 1243

052826,000697: 12,2000                                           BANK                                           
052827,000698: 
052828,000699: 12,2000                                           COUNT    12/CONIC                              
052829,000700: 
052830,000701: 12,2000  E5,1723                                  EBANK=   UR1                                   
052831,000702: 12,2000           71201        KEPLERN            SETPD    DLOAD                                 
052832,000703: 12,2001           00001                                    0                                     
052833,000704: 12,2002           11453                                    KEPZERO                               
052834,000705: 12,2003           01344                           STORE    XMODULO                               
052835,000706: 12,2004           31346                           STOVL*   TMODULO                               
052836,000707: 12,2005           11626                                    MUTABLE,1                             
052837,000708: 12,2006           24017                           STOVL    14D                                   
052838,000709: 12,2007           01503                                    RRECT                                 
052839,000710: 12,2010           66256                           UNIT     SSP                                   
052840,000711: 12,2011           00027                                    ITERCTR                               
052841,000712: 12,2012           00024                                    20D                                   
052842,000713: 12,2013           16647                           STODL    URRECT                                
052843,000714: 12,2014           00045                                    36D                                   
052844,000715: 12,2015           24041                           STOVL    R1                                    
052845,000716: 12,2016           01503                                    RRECT                                 
052846,000717: 12,2017           76441                           DOT      SL1R                                  
052847,000718: 12,2020           01511                                    VRECT                                 
052848,000719: 12,2021           76405                           DMP      SL1R                                  
052849,000720: 12,2022           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
052850,000721: 12,2023           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
052851,000722: 12,2024           01511                                    VRECT                                 
052852,000723: 12,2025           57236                           VSQ      DMPR                                  
052853,000724: 12,2026           00017                                    1/MU                                  #  1/MU (-34 OR -28)
052854,000725: 12,2027           52405                           DMP      SL3                                   
052855,000726: 12,2030           00041                                    R1                                    
052856,000727: 12,2031           61425                           DSU      ROUND                                 
052857,000728: 12,2032           11475                                    D1/64                                 
052858,000729: 12,2033           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
052859,000730: 
052860,000731: 12,2034           74421                           BDSU     SR1R                                  
052861,000732: 12,2035           11475                                    D1/64                                 
052862,000733: 12,2036           77671                           DDV                                            
052863,000734: 12,2037           00041                                    R1                                    
052864,000735: 12,2040           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
052865,000736: 
052866,000737: 
052867,000738: 12,2041           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
052868,000739: 12,2042           24051                                    1REV                                  
052869,000740: 12,2043           11513                                    -50SC                                 #  -50SC (+12)
052870,000741: 12,2044           40071                           DDV      BOV                                   
052871,000742: 12,2045           00011                                    ALPHA                                 
052872,000743: 12,2046           24055                                    STOREMAX                              
052873,000744: 12,2047           52166                           SQRT     GOTO                                  
052874,000745: 12,2050           24055                                    STOREMAX                              

Page 1244

052876,000747: 12,2051           55366        1REV               SQRT     BDDV                                  
052877,000748: 12,2052           11515                                    2PISC                                 #  2PISC (+6)
052878,000749: 12,2053           77600                           BOV                                            
052879,000750: 12,2054           24055                                    STOREMAX                              
052880,000751: 12,2055           50165        STOREMAX           SIGN     BMN                                   
052881,000752: 12,2056           02312                                    TAU.                                  
052882,000753: 12,2057           24272                                    BACKWARD                              
052883,000754: 12,2060           00013                           STORE    XMAX                                  
052884,000755: 12,2061           65205                           DMP      PDDL                                  #                               PL AT 2
052885,000756: 12,2062           00023                                    1/ROOTMU                              
052886,000757: 12,2063           00011                                    ALPHA                                 
052887,000758: 12,2064           65301                           NORM     PDDL                                  #  DXCH WITH 0D.  0D=ALPHA      PL AT 0,2
052888,000759: 12,2065           00047                                    X1                                    
052889,000760: 12,2066           56257                           SL*      DDV                                   #                               PL AT 0
052890,000761: 12,2067           20173                                    0          -6,1                       
052891,000762: 12,2070           50000        PERIODCH           BOV      BMN                                   
052892,000763: 12,2071           24112                                    MODDONE                               
052893,000764: 12,2072           24112                                    MODDONE                               
052894,000765: 12,2073           77606                           PUSH                                           #  0D=PERIOD (+28)
052895,000766: 12,2074           50021                           BDSU     BMN                                   
052896,000767: 12,2075           02312                                    TAU.                                  
052897,000768: 12,2076           24112                                    MODDONE                               
052898,000769: 12,2077           16312                           STODL    TAU.                                  
052899,000770: 12,2100           00013                                    XMAX                                  
052900,000771: 12,2101           77615                           DAD                                            
052901,000772: 12,2102           01344                                    XMODULO                               
052902,000773: 12,2103           15344                           STODL    XMODULO                               
052903,000774: 12,2104           00001                                    0D                                    
052904,000775: 12,2105           77615                           DAD                                            
052905,000776: 12,2106           01346                                    TMODULO                               
052906,000777: 12,2107           15346                           STODL    TMODULO                               #                               PL AT 0
052907,000778: 12,2110           77650                           GOTO                                           
052908,000779: 12,2111           24070                                    PERIODCH                              
052909,000780: 
052910,000781: 12,2112           71201        MODDONE            SETPD    DLOAD                                 
052911,000782: 12,2113           00001                                    0                                     
052912,000783: 12,2114           11453                                    KEPZERO                               
052913,000784: 12,2115           14015                           STODL    XMIN                                  
052914,000785: 12,2116           02306                                    XKEPNEW                               
052915,000786: 12,2117           77625                           DSU                                            
052916,000787: 12,2120           01344                                    XMODULO                               
052917,000788: 12,2121           00025                           STORE    X                                     
052918,000789: 12,2122           50054                           BZE      BMN                                   
052919,000790: 12,2123           24265                                    BADX                                  
052920,000791: 12,2124           24265                                    BADX                                  
052921,000792: 12,2125           51025                           DSU      BPL                                   
052922,000793: 12,2126           00013                                    XMAX                                  
052923,000794: 12,2127           24265                                    BADX                                  
052924,000795: 

Page 1245

052926,000797: 12,2130           57345        DXCOMP             DLOAD    DMPR                                  
052927,000798: 12,2131           02312                                    TAU.                                  
052928,000799: 12,2132           11506                                    BEE22                                 
052929,000800: 12,2133           77646                           ABS                                            
052930,000801: 12,2134           15350                           STODL    EPSILONT                              
052931,000802: 12,2135           01551                                    TC                                    
052932,000803: 12,2136           45254                           BZE      DSU                                   
052933,000804: 12,2137           24141                                    NEWTC                                 
052934,000805: 12,2140           01346                                    TMODULO                               
052935,000806: 12,2141           15551        NEWTC              STODL    TC                                    
052936,000807: 12,2142           01553                                    XPREV                                 
052937,000808: 12,2143           45254                           BZE      DSU                                   
052938,000809: 12,2144           24146                                    XDIFF                                 
052939,000810: 12,2145           01344                                    XMODULO                               
052940,000811: 12,2146           77621        XDIFF              BDSU                                           
052941,000812: 12,2147           00025                                    X                                     
052942,000813: 12,2150           02643                           STORE    DELX                                  
052943,000814: 
052944,000815: 
052945,000816: 12,2151           63545        KEPLOOP            DLOAD    DSQ                                   
052946,000817: 12,2152           00025                                    X                                     #  X=XKEP
052947,000818: 12,2153           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
052948,000819: 12,2154           00047                                    X1                                    
052949,000820: 12,2155           53605                           DMP      SRR*                                  
052950,000821: 12,2156           00011                                    ALPHA                                 
052951,000822: 12,2157           21573                                    0          -6,1                       
052952,000823: 12,2160           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
052953,000824: 12,2161           24426                                    DELTIME                               
052954,000825: 12,2162           44200                           BOV      BDSU                                  
052955,000826: 12,2163           24312                                    TIMEOVFL                              #  UNLIKELY
052956,000827: 12,2164           02312                                    TAU.                                  
052957,000828: 12,2165           02645                           STORE    DELT                                  #  DELT=DELINDEP
052958,000829: 12,2166           44246                           ABS      BDSU                                  
052959,000830: 12,2167           01350                                    EPSILONT                              
052960,000831: 12,2170           71244                           BPL      DLOAD                                 
052961,000832: 12,2171           24334                                    KEPCONVG                              
052962,000833: 12,2172           00037                                    T                                     
052963,000834: 12,2173           60225                           DSU      NORM                                  
052964,000835: 12,2174           01551                                    TC                                    
052965,000836: 12,2175           00047                                    X1                                    
052966,000837: 12,2176           60325                           PDDL     NORM                                  
052967,000838: 12,2177           02643                                    DELX                                  
052968,000839: 12,2200           00050                                    X2                                    
052969,000840: 12,2201           41260                           XSU,1    DMP                                   
052970,000841: 12,2202           00047                                    X2                                    
052971,000842: 12,2203           02645                                    DELT                                  
052972,000843: 12,2204           56257                           SLR*     DDV                                   
052973,000844: 12,2205           21202                                    1,1                                   
052974,000845: 12,2206           41542                           SR1      PUSH                                  #  0D=TRIAL DELX                PL AT 2
052975,000846: 12,2207           71244                           BPL      DLOAD                                 

Page 1246

052977,000848: 12,2210           24231                                    POSDELX                               
052978,000849: 12,2211           00025                                    X                                     
052979,000850: 12,2212           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
052980,000851: 12,2213           45221                           BDSU     DSU                                   #                               PL AT 0
052981,000852: 12,2214           00015                                    XMIN                                  
052982,000853: 12,2215           51000                           BOV      BPL                                   
052983,000854: 12,2216           24223                                    NDXCHNGE                              
052984,000855: 12,2217           24223                                    NDXCHNGE                              
052985,000856: 12,2220           52145                           DLOAD    GOTO                                  
052986,000857: 12,2221           00001                                    0D                                    
052987,000858: 12,2222           24243                                    NEWDELX                               
052988,000859: 
052989,000860: 
052990,000861: 12,2223           45345        NDXCHNGE           DLOAD    DSU                                   
052991,000862: 12,2224           00015                                    XMIN                                  
052992,000863: 12,2225           00025                                    X                                     
052993,000864: 12,2226           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
052994,000865: 12,2227           11511                                    DP9/10                                
052995,000866: 12,2230           24243                                    NEWDELX                               
052996,000867: 
052997,000868: 
052998,000869: 12,2231           77745        POSDELX            DLOAD                                          
052999,000870: 12,2232           00025                                    X                                     
053000,000871: 12,2233           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
053001,000872: 12,2234           45221                           BDSU     DSU                                   #                               PL AT 0
053002,000873: 12,2235           00013                                    XMAX                                  
053003,000874: 12,2236           50000                           BOV      BMN                                   
053004,000875: 12,2237           24257                                    PDXCHNGE                              
053005,000876: 12,2240           24257                                    PDXCHNGE                              
053006,000877: 12,2241           77745                           DLOAD                                          
053007,000878: 12,2242           00001                                    0D                                    
053008,000879: 12,2243           02643        NEWDELX            STORE    DELX                                  
053009,000880: 12,2244           43254                           BZE      DAD                                   
053010,000881: 12,2245           24334                                    KEPCONVG                              
053011,000882: 12,2246           00025                                    X                                     
053012,000883: 12,2247           14025                           STODL    X                                     
053013,000884: 12,2250           00037                                    T                                     
053014,000885: 12,2251           01551                           STORE    TC                                    
053015,000886: 12,2252           46034        BRNCHCTR           RTB      BHIZ                                  
053016,000887: 12,2253           24651                                    CHECKCTR                              
053017,000888: 12,2254           24334                                    KEPCONVG                              
053018,000889: 12,2255           77650                           GOTO                                           
053019,000890: 12,2256           24151                                    KEPLOOP                               #  ITERATE
053020,000891: 
053021,000892: 
053022,000893: 12,2257           45345        PDXCHNGE           DLOAD    DSU                                   
053023,000894: 12,2260           00013                                    XMAX                                  
053024,000895: 12,2261           00025                                    X                                     
053025,000896: 12,2262           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
053026,000897: 12,2263           11511                                    DP9/10                                

Page 1247

053028,000899: 12,2264           24243                                    NEWDELX                               
053029,000900: 
053030,000901: 
053031,000902: 12,2265           70545        BADX               DLOAD    SR1                                   #  RECIPE EXCEEDED X BOUNDS - USE XMAX/2
053032,000903: 12,2266           00013                                    XMAX                                  
053033,000904: 12,2267           00025                           STORE    X                                     
053034,000905: 12,2270           77650                           GOTO                                           
053035,000906: 12,2271           24130                                    DXCOMP                                
053036,000907: 
053037,000908: 
053038,000909: 12,2272           14015        BACKWARD           STODL    XMIN                                  
053039,000910: 12,2273           11453                                    KEPZERO                               
053040,000911: 12,2274           14013                           STODL    XMAX                                  
053041,000912: 12,2275           02306                                    XKEPNEW                               
053042,000913: 12,2276           00025                           STORE    X                                     
053043,000914: 12,2277           51054                           BZE      BPL                                   
053044,000915: 12,2300           24305                                    BADBKWDX                              
053045,000916: 12,2301           24305                                    BADBKWDX                              
053046,000917: 12,2302           51025                           DSU      BPL                                   
053047,000918: 12,2303           00015                                    XMIN                                  
053048,000919: 12,2304           24130                                    DXCOMP                                
053049,000920: 12,2305           70545        BADBKWDX           DLOAD    SR1                                   
053050,000921: 12,2306           00015                                    XMIN                                  
053051,000922: 12,2307           00025                           STORE    X                                     
053052,000923: 12,2310           77650                           GOTO                                           
053053,000924: 12,2311           24130                                    DXCOMP                                
053054,000925: 
053055,000926: 
053056,000927: 12,2312           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
053057,000928: 12,2313           00025                                    X                                     
053058,000929: 12,2314           24331                                    NEGTOVFL                              
053059,000930: 12,2315           00013                           STORE    XMAX                                  
053060,000931: 12,2316           70545        CMNTOVFL           DLOAD    SR1                                   
053061,000932: 12,2317           02643                                    DELX                                  
053062,000933: 12,2320           02643                           STORE    DELX                                  
053063,000934: 12,2321           44254                           BZE      BDSU                                  
053064,000935: 12,2322           02270                                    KEPRTN                                
053065,000936: 12,2323           00025                                    X                                     
053066,000937: 12,2324           14025                           STODL    X                                     
053067,000938: 12,2325           01551                                    TC                                    
053068,000939: 12,2326           00037                           STORE    T                                     
053069,000940: 12,2327           77650                           GOTO                                           
053070,000941: 12,2330           24252                                    BRNCHCTR                              
053071,000942: 12,2331           00015        NEGTOVFL           STORE    XMIN                                  
053072,000943: 12,2332           77650                           GOTO                                           
053073,000944: 12,2333           24316                                    CMNTOVFL                              
053074,000945: 12,2334           44545        KEPCONVG           DLOAD    SR4R                                  
053075,000946: 12,2335           00041                                    R1                                    
053076,000947: 12,2336           74225                           DSU      VXSC                                  
053077,000948: 12,2337           00035                                    XSQC(XI)                              

Page 1248

053079,000950: 12,2340           02647                                    URRECT                                
053080,000951: 12,2341           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
053081,000952: 12,2342           00025                                    X                                     
053082,000953: 12,2343           60316                           DSQ      NORM                                  
053083,000954: 12,2344           00047                                    X1                                    
053084,000955: 12,2345           57275                           DMPR     DMPR                                  
053085,000956: 12,2346           00023                                    1/ROOTMU                              
053086,000957: 12,2347           00025                                    X                                     
053087,000958: 12,2350           53605                           DMP      SRR*                                  
053088,000959: 12,2351           00033                                    S(XI)                                 
053089,000960: 12,2352           21572                                    0          -7,1                       
053090,000961: 12,2353           77621                           BDSU                                           
053091,000962: 12,2354           00037                                    T                                     
053092,000963: 12,2355           74352                           SL1      VXSC                                  
053093,000964: 12,2356           01511                                    VRECT                                 
053094,000965: 12,2357           53372                           VSL1     VAD                                   #                               PL AT 0
053095,000966: 12,2360           77712                           VSL4                                           
053096,000967: 12,2361           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
053097,000968: 
053098,000969: 
053099,000970: 12,2362           60246                           ABVAL    NORM                                  
053100,000971: 12,2363           00050                                    X2                                    
053101,000972: 12,2364           16655                           STODL    RCNORM                                
053102,000973: 12,2365           00031                                    XI                                    
053103,000974: 12,2366           45275                           DMPR     DSU                                   
053104,000975: 12,2367           00033                                    S(XI)                                 
053105,000976: 12,2370           11473                                    D1/128                                
053106,000977: 12,2371           76405                           DMP      SL1R                                  
053107,000978: 12,2372           00021                                    ROOTMU                                
053108,000979: 12,2373           53605                           DMP      SLR*                                  
053109,000980: 12,2374           00025                                    X                                     
053110,000981: 12,2375           56601                                    0          -3,2                       
053111,000982: 12,2376           74271                           DDV      VXSC                                  
053112,000983: 12,2377           02655                                    RCNORM                                
053113,000984: 12,2400           02647                                    URRECT                                
053114,000985: 12,2401           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
053115,000986: 12,2402           00035                                    XSQC(XI)                              #  OR +13)                        PL AT 6
053116,000987: 12,2403           56257                           SLR*     DDV                                   
053117,000988: 12,2404           56602                                    0          -4,2                       
053118,000989: 12,2405           02655                                    RCNORM                                
053119,000990: 12,2406           74221                           BDSU     VXSC                                  
053120,000991: 12,2407           11507                                    D1/256                                
053121,000992: 12,2410           01511                                    VRECT                                 
053122,000993: 12,2411           42455                           VAD      VSL8                                  #                               PL AT 0
053123,000994: 12,2412           77626                           STADR                                          
053124,000995: 12,2413           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
053125,000996: 12,2414           00037                                    T                                     
053126,000997: 12,2415           77615                           DAD                                            
053127,000998: 12,2416           01346                                    TMODULO                               
053128,000999: 12,2417           15551                           STODL    TC                                    

Page 1249

053130,001001: 12,2420           00025                                    X                                     
053131,001002: 12,2421           77615                           DAD                                            
053132,001003: 12,2422           01344                                    XMODULO                               
053133,001004: 12,2423           01553                           STORE    XPREV                                 
053134,001005: 12,2424           77650                           GOTO                                           
053135,001006: 12,2425           02270                                    KEPRTN                                
053136,001007: 

Page 1250

053138,001009: 12,2426           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
053139,001010: 12,2427           07171                           TC       POLY                                  
053140,001011: 12,2430           00010                           DEC      8          B-14                       
053141,001012: 12,2431           02525 12526                     2DEC     .083333334                            
053142,001013: 12,2433           67356 75666                     2DEC     -.266666684                            
053143,001014: 12,2435           15001 23771                     2DEC     .406349155                            
053144,001015: 12,2437           64342 43674                     2DEC     -.361198675                            
053145,001016: 12,2441           06563 04645                     2DEC     .210153242                            
053146,001017: 12,2443           75173 52672                     2DEC     -.086221951                            
053147,001018: 12,2445           00656 14331                     2DEC     .026268812                            
053148,001019: 12,2447           77633 40512                     2DEC     -.006163316                            
053149,001020: 12,2451           00023 11210                     2DEC     .001177342                            
053150,001021: 12,2453           77774 67506                     2DEC     -.000199055                            
053151,001022: 12,2455           06006                           TC       INTPRET                               
053152,001023: 12,2456           14033                           STODL    S(XI)                                 
053153,001024: 12,2457           00031                                    XI                                    
053154,001025: 12,2460           77776                           EXIT                                           
053155,001026: 12,2461           07171                           TC       POLY                                  
053156,001027: 12,2462           00010                           DEC      8          B-14                       
053157,001028: 12,2463           01000 00000                     2DEC     .031250001                            
053158,001029: 12,2465           72525 52506                     2DEC     -.166666719                            
053159,001030: 12,2467           13301 15337                     2DEC     .355555413                            
053160,001031: 12,2471           62776 54733                     2DEC     -.406347410                            
053161,001032: 12,2473           11176 13267                     2DEC     .288962094                            
053162,001033: 12,2475           73410 51674                     2DEC     -.140117894                            
053163,001034: 12,2477           01446 33641                     2DEC     .049247387                            
053164,001035: 12,2501           77451 65233                     2DEC     -.013081923                            
053165,001036: 12,2503           00055 37266                     2DEC     .002806389                            
053166,001037: 12,2505           77767 52336                     2DEC     -.000529414                            
053167,001038: 12,2507           06006                           TC       INTPRET                               

Page 1251

053169,001040: 12,2510           53605                           DMP      SRR*                                  #                               PL AT 0
053170,001041: 12,2511           00001                                    0D                                    
053171,001042: 12,2512           21574                                    0          -5,1                       
053172,001043: 12,2513           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
053173,001044: 12,2514           72405                           DMP      SL1                                   
053174,001045: 12,2515           00043                                    KEPC1                                 
053175,001046: 12,2516           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
053176,001047: 12,2517           45562                                    TPMODE                                #                               PL AT 0,3
053177,001048: 12,2520           53605                           DMP      SRR*                                  
053178,001049: 12,2521           00033                                    S(XI)                                 
053179,001050: 12,2522           21574                                    0          -5,1                       
053180,001051: 12,2523           72405                           DMP      SL1                                   
053181,001052: 12,2524           00045                                    KEPC2                                 
053182,001053: 12,2525           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
053183,001054: 12,2526           45562                                    TPMODE                                
053184,001055: 12,2527           00041                                    R1                                    
053185,001056: 12,2530           76261                           SR       TAD                                   #                               PL AT 3
053186,001057: 12,2531           20607                                    6                                     
053187,001058: 12,2532           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
053188,001059: 12,2533           00047                                    X1                                    
053189,001060: 12,2534           00025                                    X                                     
053190,001061: 12,2535           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46) PL AT 0
053191,001062: 12,2536           20576                                    0          -3,1                       
053192,001063: 12,2537           57232                           SL4R     DMPR                                  
053193,001064: 12,2540           00023                                    1/ROOTMU                              
053194,001065: 12,2541           00037                           STORE    T                                     
053195,001066: 12,2542           77616                           RVQ                                            
053196,001067: 

Page 1252

053198,001069: 12,2543           71214        ITERATOR           BONCLR   DLOAD                                 
053199,001070: 12,2544           00614                                    SLOPESW                               
053200,001071: 12,2545           24613                                    FIRSTIME                              
053201,001072: 12,2546           00037                                    DEP                                   
053202,001073: 12,2547           60225                           DSU      NORM                                  
053203,001074: 12,2550           02764                                    DEPREV                                
053204,001075: 12,2551           00047                                    X1                                    
053205,001076: 12,2552           60325                           PDDL     NORM                                  
053206,001077: 12,2553           00015                                    DELINDEP                              
053207,001078: 12,2554           00050                                    X2                                    
053208,001079: 12,2555           41260                           XSU,1    DMP                                   
053209,001080: 12,2556           00047                                    X2                                    
053210,001081: 12,2557           02762                                    DELDEP                                
053211,001082: 12,2560           56257                           SLR*     DDV                                   #                               PL UP 2
053212,001083: 12,2561           21202                                    1,1                                   
053213,001084: 12,2562           43142                           SR1      BOFF                                  
053214,001085: 12,2563           04351                                    ORDERSW                               
053215,001086: 12,2564           24567                                    SGNCHECK                              
053216,001087: 12,2565           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
053217,001088: 12,2566           02762                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
053218,001089: 
053219,001090: 12,2567           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP               PL DOWN 2
053220,001091: 12,2570           24625                                    POSDEL                                
053221,001092: 12,2571           43145                           DLOAD    BON                                   
053222,001093: 12,2572           03775                                    INDEP                                 
053223,001094: 12,2573           04311                                    ORDERSW                               
053224,001095: 12,2574           24576                                    MINCHECK                              
053225,001096: 12,2575           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
053226,001097: 
053227,001098: 12,2576           45221        MINCHECK           BDSU     DSU                                   
053228,001099: 12,2577           00011                                    MIN                                   
053229,001100: 12,2600           51000                           BOV      BPL                                   
053230,001101: 12,2601           24605                                    MODNGDEL                              
053231,001102: 12,2602           24605                                    MODNGDEL                              
053232,001103: 12,2603           77650                           GOTO                                           
053233,001104: 12,2604           24637                                    DELOK                                 
053234,001105: 
053235,001106: 
053236,001107: 12,2605           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
053237,001108: 12,2606           00011                                    MIN                                   
053238,001109: 12,2607           03775                                    INDEP                                 
053239,001110: 12,2610           52005                           DMP      GOTO                                  
053240,001111: 12,2611           11511                                    DP9/10                                
053241,001112: 12,2612           24641                                    NEWDEL                                
053242,001113: 
053243,001114: 
053244,001115: 12,2613           41345        FIRSTIME           DLOAD    DMP                                   
053245,001116: 12,2614           00011                                    MIN                                   
053246,001117: 12,2615           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
053247,001118: 12,2616           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1253

053249,001120: 12,2617           00017                                    MAX                                   
053250,001121: 12,2620           00051                                    TWEEKIT                               
053251,001122: 12,2621           77625                           DSU                                            
053252,001123: 12,2622           52165                           SIGN     GOTO                                  
053253,001124: 12,2623           02762                                    DELDEP                                
053254,001125: 12,2624           24567                                    SGNCHECK                              
053255,001126: 
053256,001127: 
053257,001128: 12,2625           43145        POSDEL             DLOAD    BON                                   
053258,001129: 12,2626           03775                                    INDEP                                 
053259,001130: 12,2627           04311                                    ORDERSW                               
053260,001131: 12,2630           24632                                    MAXCHECK                              
053261,001132: 12,2631           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
053262,001133: 
053263,001134: 12,2632           45221        MAXCHECK           BDSU     DSU                                   
053264,001135: 12,2633           00017                                    MAX                                   
053265,001136: 12,2634           50000                           BOV      BMN                                   
053266,001137: 12,2635           24643                                    MODPSDEL                              
053267,001138: 12,2636           24643                                    MODPSDEL                              
053268,001139: 12,2637           77745        DELOK              DLOAD                                          
053269,001140: 12,2640           00001                                    0D                                    
053270,001141: 12,2641           00015        NEWDEL             STORE    DELINDEP                              
053271,001142: 12,2642           77616                           RVQ                                            
053272,001143: 
053273,001144: 
053274,001145: 12,2643           45345        MODPSDEL           DLOAD    DSU                                   
053275,001146: 12,2644           00017                                    MAX                                   
053276,001147: 12,2645           03775                                    INDEP                                 
053277,001148: 12,2646           52005                           DMP      GOTO                                  
053278,001149: 12,2647           11511                                    DP9/10                                
053279,001150: 12,2650           24641                                    NEWDEL                                
053280,001151: 
053281,001152: 
053282,001153: 12,2651           44712        CHECKCTR           CS       ONE                                   
053283,001154: 12,2652           50120                           INDEX    FIXLOC                                
053284,001155: 12,2653           60026                           AD       ITERCTR                               
053285,001156: 12,2654           50120                           INDEX    FIXLOC                                
053286,001157: 12,2655           54026                           TS       ITERCTR                               
053287,001158: 12,2656           54154                           TS       MPAC                                  
053288,001159: 12,2657           06030                           TC       DANZIG                                
053289,001160: 

Page 1254

053291,001162: 12,2660           44545        NEWSTATE           DLOAD    SR4R                                  
053292,001163: 12,2661           00041                                    R1                                    
053293,001164: 12,2662           74225                           DSU      VXSC                                  
053294,001165: 12,2663           00035                                    XSQC(XI)                              
053295,001166: 12,2664           02724                                    UR1                                   
053296,001167: 12,2665           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
053297,001168: 12,2666           00025                                    X                                     
053298,001169: 12,2667           60316                           DSQ      NORM                                  
053299,001170: 12,2670           00047                                    X1                                    
053300,001171: 12,2671           57275                           DMPR     DMPR                                  
053301,001172: 12,2672           00023                                    1/ROOTMU                              
053302,001173: 12,2673           00025                                    X                                     
053303,001174: 12,2674           53605                           DMP      SRR*                                  
053304,001175: 12,2675           00033                                    S(XI)                                 
053305,001176: 12,2676           21572                                    0          -7,1                       
053306,001177: 12,2677           77621                           BDSU                                           
053307,001178: 12,2700           00037                                    T                                     
053308,001179: 12,2701           74352                           SL1      VXSC                                  
053309,001180: 12,2702           02746                                    VVEC                                  
053310,001181: 12,2703           53372                           VSL1     VAD                                   #                               PL AT 0
053311,001182: 12,2704           41512                           VSL4     PUSH                                  
053312,001183: 12,2705           77646                           ABVAL                                          
053313,001184: 12,2706           77701        LAMENTER           NORM                                           
053314,001185: 12,2707           00047                                    X1                                    
053315,001186: 12,2710           16722                           STODL    R2                                    
053316,001187: 12,2711           00031                                    XI                                    
053317,001188: 12,2712           45205                           DMP      DSU                                   
053318,001189: 12,2713           00033                                    S(XI)                                 
053319,001190: 12,2714           11473                                    D1/128                                
053320,001191: 12,2715           76405                           DMP      SL1R                                  
053321,001192: 12,2716           00021                                    ROOTMU                                
053322,001193: 12,2717           53605                           DMP      SLR*                                  
053323,001194: 12,2720           00025                                    X                                     
053324,001195: 12,2721           21176                                    0          -3,1                       
053325,001196: 12,2722           74271                           DDV      VXSC                                  
053326,001197: 12,2723           02722                                    R2                                    
053327,001198: 12,2724           02724                                    UR1                                   
053328,001199: 12,2725           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)       PL AT 12
053329,001200: 12,2726           00035                                    XSQC(XI)                              
053330,001201: 12,2727           56257                           SLR*     DDV                                   
053331,001202: 12,2730           21175                                    0          -4,1                       
053332,001203: 12,2731           02722                                    R2                                    
053333,001204: 12,2732           77621                           BDSU                                           
053334,001205: 12,2733           11507                                    D1/256                                
053335,001206: 12,2734           53361                           VXSC     VAD                                   #                               PL AT 6
053336,001207: 12,2735           02746                                    VVEC                                  
053337,001208: 12,2736           43412                           VSL8     RVQ                                   
053338,001209: 

Page 1255

053340,001211: 04,2000                                           SETLOC   CONICS1                               
053341,001212: 04,2000                                           BANK                                           
053342,001213: 
053343,001214: 04,3467                                           COUNT    04/CONIC                              
053344,001215:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
053345,001216: 04,3467           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
053346,001217: 04,3470           04000 00000  D1/8               2DEC     1.0        B-3                        
053347,001218: 04,3472           00200 00000  D1/128             2DEC     1.0        B-7                        
053348,001219: 04,3474           00400 00000  D1/64              2DEC     1.0        B-6                        
053349,001220: 04,3476           10000 00000  D1/4               2DEC     1.0        B-2                        
053350,001221: 04,3500           02000 00000  D1/16              2DEC     1.0        B-4                        
053351,001222: 04,3502           01000 00000  D1/32              2DEC     1.0        B-5                        
053352,001223: 04,3504           00020 00000  D1/1024            2DEC     1.0        B-10                       
053353,001224: 04,3506           00100 00000  D1/256             2DEC     1.0        B-8                        
053354,001225: 04,3510           34631 23146  DP9/10             2DEC     .9                                    
053355,001226: 04,3512  04,3452               KEPZERO            EQUALS   LO6ZEROS                              
053356,001227: 04,3512           77467 77777  -50SC              2DEC     -50.0      B-12                       
053357,001228: 04,3514           03110 17665  2PISC              2DEC     6.28318530 B-6                        
053358,001229: 04,3516  04,3501               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
053359,001230: 04,3516  04,3505               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
053360,001231: 04,3516           00000 00001  ONEBIT             2DEC     1.0        B-28                       
053361,001232: 04,3520           37767 37737  COGUPLIM           2DEC     .999511597                            
053362,001233: 04,3522           40010 40040  COGLOLIM           2DEC     -.999511597                            
053363,001234: 

Page 1256

053365,001236: 12,2000                                           SETLOC   CONICS                                
053366,001237: 12,2000                                           BANK                                           
053367,001238: 
053368,001239: 12,2737                                           COUNT    12/CONIC                              
053369,001240: 
053370,001241: 12,2737           40220        TIMETHET           STQ      SETPD                                 #                               PL AT 0
053371,001242: 12,2740           02712                                    RTNTT                                 
053372,001243: 12,2741           00001                                    0                                     
053373,001244: 12,2742           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL         PL AT 6
053374,001245: 12,2743           02657                                    RVEC                                  
053375,001246: 12,2744           02746                                    VVEC                                  
053376,001247: 12,2745           77624                           CALL                                           
053377,001248: 12,2746           11524                                    PARAM                                 
053378,001249: 12,2747           45000                           BOV      CALL                                  
053379,001250: 12,2750           24767                                    COGAOVFL                              #                               PL AT 0
053380,001251: 12,2751           24772                                    GETX                                  
053381,001252: 12,2752           43145        COMMNOUT           DLOAD    BON                                   
053382,001253: 12,2753           00031                                    XI                                    
053383,001254: 12,2754           04310                                    INFINFLG                              
053384,001255: 12,2755           02712                                    RTNTT                                 
053385,001256: 12,2756           45014                           CLEAR    CALL                                  
053386,001257: 12,2757           04273                                    COGAFLAG                              
053387,001258: 12,2760           24426                                    DELTIME                               
053388,001259: 12,2761           45014                           BON      CALL                                  
053389,001260: 12,2762           03706                                    RVSW                                  
053390,001261: 12,2763           02712                                    RTNTT                                 
053391,001262: 12,2764           24660                                    NEWSTATE                              
053392,001263: 12,2765           77650                           GOTO                                           
053393,001264: 12,2766           02712                                    RTNTT                                 
053394,001265: 
053395,001266: 
053396,001267: 12,2767           77614        COGAOVFL           SETGO                                          
053397,001268: 12,2770           04033                                    COGAFLAG                              
053398,001269: 12,2771           02712                                    RTNTT                                 
053399,001270: 

Page 1257

053401,001272: 04,3524                                           BANK     4                                     
053402,001273: 04,2000                                           SETLOC   CONICS1                               
053403,001274: 04,2000                                           BANK                                           
053404,001275: 04,3524                                           COUNT*   $$/CONIC                              
053405,001276: 04,3524           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC         PL AT 6
053406,001277: 04,3525           02755                                    RTNPRM                                
053407,001278: 04,3526           03665                                    NORMSW                                
053408,001279: 04,3527           77614                           CLEAR                                          
053409,001280: 04,3530           04273                                    COGAFLAG                              
053410,001281: 04,3531           45131                           SSP      CALL                                  
053411,001282: 04,3532           02675                                    GEOMSGN                               
053412,001283: 04,3533           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
053413,001284: 04,3534           11570                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1) PL AT 2
053414,001285: 04,3535           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)           PL AT 0
053415,001286: 04,3536           56261                           SR       DDV                                   
053416,001287: 04,3537           20606                                    5                                     
053417,001288: 
053418,001289: 04,3540           00045                                    36D                                   
053419,001290: 04,3541           33775                           STOVL*   COGA                                  
053420,001291: 04,3542           11626                                    MUTABLE,1                             
053421,001292: 04,3543           14017                           STODL    1/MU                                  
053422,001293: 04,3544           02722                                    MAGVEC2                               
053423,001294: 04,3545           60316                           DSQ      NORM                                  
053424,001295: 04,3546           00047                                    X1                                    
053425,001296: 04,3547           41275                           DMPR     DMP                                   
053426,001297: 04,3550           00017                                    1/MU                                  
053427,001298: 04,3551           00041                                    R1                                    
053428,001299: 04,3552           77657                           SRR*                                           
053429,001300: 04,3553           21576                                    0          -3,1                       
053430,001301: 04,3554           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)           PL AT 2
053431,001302: 04,3555           11503                                    D1/32                                 
053432,001303: 04,3556           16744                           STODL    R1A                                   #  R1A (+6)                     PL AT 0
053433,001304: 
053434,001305: 04,3557           60205                           DMP      NORM                                  
053435,001306: 04,3560           00045                                    36D                                   
053436,001307: 04,3561           00047                                    X1                                    
053437,001308: 04,3562           53605                           DMP      SR*                                   
053438,001309: 04,3563           00045                                    36D                                   
053439,001310: 04,3564           20575                                    0          -4,1                       
053440,001311: 04,3565           02742                           STORE    P                                     #  P (+4)
053441,001312: 04,3566           77650                           GOTO                                           
053442,001313: 04,3567           02755                                    RTNPRM                                
053443,001314: 

Page 1258

053445,001316: 04,3570           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC         PL AT 6
053446,001317: 04,3571           16714                           STODL    U2                                    #  U2 (+1)
053447,001318: 04,3572           00045                                    36D                                   
053448,001319: 04,3573           26722                           STOVL    MAGVEC2                               #                               PL AT 0
053449,001320: 04,3574           77656                           UNIT                                           
053450,001321: 04,3575           02724                           STORE    UR1                                   #  UR1 (+1)
053451,001322: 04,3576           72441                           DOT      SL1                                   
053452,001323: 04,3577           02714                                    U2                                    
053453,001324: 04,3600           77725                           PDDL                                           #  OD=CSTH (+1)                 PL AT 2
053454,001325: 04,3601           00045                                    36D                                   
053455,001326: 04,3602           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
053456,001327: 04,3603           02724                                    UR1                                   
053457,001328: 04,3604           76435                           VXV      VSL1                                  
053458,001329: 04,3605           02714                                    U2                                    
053459,001330: 04,3606           75214                           BON      SIGN                                  
053460,001331: 04,3607           03705                                    NORMSW                                
053461,001332: 04,3610           11622                                    HAVENORM                              
053462,001333: 04,3611           02675                                    GEOMSGN                               
053463,001334: 04,3612           40056                           UNIT     BOV                                   
053464,001335: 04,3613           11620                                    COLINEAR                              
053465,001336: 04,3614           16676        UNITNORM           STODL    UN                                    #  UN (+1)
053466,001337: 04,3615           00045                                    36D                                   
053467,001338: 04,3616           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
053468,001339: 04,3617           02675                                    GEOMSGN                               
053469,001340: 
053470,001341: 
053471,001342: 04,3620           52162        COLINEAR           VSR1     GOTO                                  
053472,001343: 04,3621           11614                                    UNITNORM                              
053473,001344: 
053474,001345: 
053475,001346: 04,3622           75246        HAVENORM           ABVAL    SIGN                                  
053476,001347: 04,3623           02675                                    GEOMSGN                               
053477,001348: 04,3624           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
053478,001349: 

Page 1259

053480,001351: 12,2772                                           BANK     12                                    
053481,001352: 12,2000                                           SETLOC   CONICS                                
053482,001353: 12,2000                                           BANK                                           
053483,001354: 
053484,001355: 12,2772                                           COUNT    12/CONIC                              
053485,001356: 
053486,001357: 12,2772           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
053487,001358: 12,2773           00003                                    3                                     
053488,001359: 12,2774           00052                                    S2                                    
053489,001360: 12,2775           00001                                    1                                     
053490,001361: 12,2776           77614                           CLEAR                                          
053491,001362: 12,2777           04276                                    360SW                                 
053492,001363: 12,3000           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                       PL AT 2
053493,001364: 12,3001           02734                                    CSTH                                  
053494,001365: 12,3002           44342                           SR1      BDSU                                  
053495,001366: 12,3003           11477                                    D1/4                                  
053496,001367: 12,3004           54325                           PDDL     SRR                                   #                               PL AT 4D
053497,001368: 12,3005           02732                                    SNTH                                  
053498,001369: 12,3006           21607                                    6                                     
053499,001370: 12,3007           77671                           DDV                                            #                               PL AT 2
053500,001371: 12,3010           77600                           BOV                                            
053501,001372: 12,3011           25125                                    360CHECK                              
053502,001373: 12,3012           41225                           DSU      DMP                                   
053503,001374: 12,3013           03775                                    COGA                                  #                                   PL AT 0
053504,001375: 12,3014           40132                           SL2R     BOV                                   
053505,001376: 12,3015           25125                                    360CHECK                              
053506,001377: 12,3016           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                        PL AT 2
053507,001378: 12,3017           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                     PL AT 5
053508,001379: 12,3020           00155                                    MPAC                                  
053509,001380: 12,3021           02744                                    R1A                                   
053510,001381: 12,3022           76202                           SR4      TAD                                   #                               PL AT 2
053511,001382: 12,3023           75440                           BMN      SQRT                                  
053512,001383: 12,3024           25210                                    INFINITY                              
053513,001384: 12,3025           43306                           ROUND    DAD                                   #                               PL AT 0D
053514,001385: 12,3026           61000                           BOV      TIX,2                                 
053515,001386: 12,3027           25123                                    RESETX2                               
053516,001387: 12,3030           25016                                    WLOOP                                 
053517,001388: 
053518,001389: 
053519,001390: 12,3031           40065                           BDDV     BOV                                   
053520,001391: 12,3032           11473                                    D1/128                                
053521,001392: 12,3033           25210                                    INFINITY                              
053522,001393: 12,3034           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)     PL AT 2
053523,001394: 12,3035           25210                                    INFINITY                              
053524,001395: 12,3036           77716                           DSQ                                            
053525,001396: 12,3037           41301                           NORM     DMP                                   
053526,001397: 12,3040           00047                                    X1                                    
053527,001398: 12,3041           02744                                    R1A                                   
053528,001399: 12,3042           77457                           SRR*     EXIT                                  
053529,001400: 12,3043           21567                                    0          -10D,1                     

Page 1260

053531,001402: 12,3044           07171                           TC       POLY                                  
053532,001403: 12,3045           00005                           DEC      5          B-14                       
053533,001404: 12,3046           20000 00000                     2DEC     .5                                    
053534,001405: 12,3050           72525 52471                     2DEC     -.166666770                            
053535,001406: 12,3052           03146 15003                     2DEC     .100000392                            
053536,001407: 12,3054           75556 45210                     2DEC     -.071401086                            
053537,001408: 12,3056           01615 13553                     2DEC     .055503292                            
053538,001409: 12,3060           76371 63777                     2DEC     -.047264098                            
053539,001410: 12,3062           01232 27367                     2DEC     .040694204                            
053540,001411: 12,3064           06006                           TC       INTPRET                               
053541,001412: 12,3065           76405                           DMP      SL1R                                  #                               PL AT 0D
053542,001413: 12,3066           43006                           PUSH     BON                                   
053543,001414: 12,3067           04316                                    360SW                                 
053544,001415: 12,3070           25175                                    TRUE360X                              
053545,001416: 12,3071           60316        XCOMMON            DSQ      NORM                                  
053546,001417: 12,3072           00047                                    X1                                    
053547,001418: 12,3073           53605                           DMP      SRR*                                  
053548,001419: 12,3074           02744                                    R1A                                   
053549,001420: 12,3075           21565                                    0          -12D,1                     
053550,001421: 12,3076           14031                           STODL    XI                                    #  XI (+6)
053551,001422: 
053552,001423: 
053553,001424: 12,3077           00041                                    R1                                    
053554,001425: 12,3100           75542                           SR1      SQRT                                  
053555,001426: 12,3101           41306                           ROUND    DMP                                   
053556,001427: 12,3102           77632                           SL4R                                           #                               PL AT 0
053557,001428: 12,3103           00025                           STORE    X                                     #  X (+17 OR +16)
053558,001429: 
053559,001430: 
053560,001431: 12,3104           60316                           DSQ      NORM                                  
053561,001432: 12,3105           00047                                    X1                                    
053562,001433: 12,3106           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
053563,001434: 12,3107           02742                                    P                                     
053564,001435: 12,3110           00041                                    R1                                    
053565,001436: 12,3111           75452                           SL3      SQRT                                  
053566,001437: 12,3112           56405                           DMP      SL3R                                  
053567,001438: 12,3113           03775                                    COGA                                  
053568,001439: 12,3114           14043                           STODL    KEPC1                                 
053569,001440: 12,3115           02744                                    R1A                                   
053570,001441: 12,3116           43021                           BDSU     CLEAR                                 
053571,001442: 12,3117           11475                                    D1/64                                 
053572,001443: 12,3120           04270                                    INFINFLG                              
053573,001444: 12,3121           00045                           STORE    KEPC2                                 

Page 1261

053575,001446: 12,3122           77616                           RVQ                                            
053576,001447: 
053577,001448: 
053578,001449: 12,3123           77774        RESETX2            AXT,2                                          
053579,001450: 12,3124           00003                                    3                                     
053580,001451: 
053581,001452: 
053582,001453: 12,3125           51001        360CHECK           SETPD    BPL                                   
053583,001454: 12,3126           00001                                    0D                                    
053584,001455: 12,3127           25132                                    INVRSEQN                              
053585,001456: 12,3130           77614                           SET                                            
053586,001457: 12,3131           04076                                    360SW                                 
053587,001458: 
053588,001459: 
053589,001460: 12,3132           75545        INVRSEQN           DLOAD    SQRT                                  
053590,001461: 12,3133           02742                                    P                                     
053591,001462: 12,3134           41325                           PDDL     DMP                                   #  0D=SQRT(P)  (+2)                 PL AT 2
053592,001463: 12,3135           02732                                    SNTH                                  
053593,001464: 12,3136           03775                                    COGA                                  
053594,001465: 12,3137           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)                PL AT 4
053595,001466: 12,3140           02734                                    CSTH                                  
053596,001467: 12,3141           43202                           SR4      DAD                                   
053597,001468: 12,3142           11503                                    D1/32                                 
053598,001469: 12,3143           41225                           DSU      DMP                                   #                               PL AT 2,0
053599,001470: 12,3144           55301                           NORM     BDDV                                  
053600,001471: 12,3145           00047                                    X1                                    
053601,001472: 12,3146           02732                                    SNTH                                  
053602,001473: 12,3147           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
053603,001474: 12,3150           21174                                    0          -5,1                       
053604,001475: 12,3151           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                  PL AT 2
053605,001476: 12,3152           14043                           STODL    34D                                   
053606,001477: 12,3153           11501                                    D1/16                                 
053607,001478: 12,3154           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                        PL AT 4
053608,001479: 12,3155           65234                           RTB      PDDL                                  #                               PL AT 7
053609,001480: 12,3156           45562                                    TPMODE                                
053610,001481: 12,3157           02744                                    R1A                                   
053611,001482: 12,3160           40405                           DMP      SR4                                   
053612,001483: 12,3161           00043                                    34D                                   
053613,001484: 12,3162           77771                           TAD                                            #                                   PL AT 4
053614,001485: 12,3163           75440                           BMN      SQRT                                  
053615,001486: 12,3164           25210                                    INFINITY                              
053616,001487: 12,3165           77615                           DAD                                            #                               PL AT 2
053617,001488: 12,3166           60304                           TIX,2    NORM                                  
053618,001489: 12,3167           25154                                    1/WLOOP                               
053619,001490: 12,3170           00047                                    X1                                    
053620,001491: 12,3171           77665                           BDDV                                           
053621,001492: 12,3172           52057                           SLR*     GOTO                                  #                                   PL AT 0
053622,001493: 12,3173           21172                                    0          -7,1                       
053623,001494: 12,3174           25034                                    POLYCOEF                              
053624,001495: 

Page 1262

053626,001497: 12,3175           50145        TRUE360X           DLOAD    BMN                                   
053627,001498: 12,3176           02744                                    R1A                                   
053628,001499: 12,3177           25210                                    INFINITY                              
053629,001500: 12,3200           60366                           SQRT     NORM                                  
053630,001501: 12,3201           00047                                    X1                                    
053631,001502: 12,3202           53665                           BDDV     SL*                                   
053632,001503: 12,3203           11515                                    2PISC                                 
053633,001504: 12,3204           20176                                    0          -3,1                       
053634,001505: 12,3205           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X          PL AT 0,2
053635,001506: 12,3206           77650                           GOTO                                           
053636,001507: 12,3207           25071                                    XCOMMON                               
053637,001508: 12,3210           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
053638,001509: 12,3211           00001                                    0                                     #  INFINITY IS REQUIRED
053639,001510: 12,3212           25213                                    OVFLCLR                               
053640,001511: 12,3213           43414        OVFLCLR            SET      RVQ                                   
053641,001512: 12,3214           04070                                    INFINFLG                              
053642,001513: 

Page 1263

053644,001515: 12,3215           40220        LAMBERT            STQ      SETPD                                 
053645,001516: 12,3216           02712                                    RTNLAMB                               
053646,001517: 12,3217           00001                                    0D                                    
053647,001518: 12,3220           76731                           SSP      VLOAD*                                
053648,001519: 12,3221           00027                                    ITERCTR                               
053649,001520: 12,3222           00024                                    20D                                   
053650,001521: 12,3223           11626                                    MUTABLE,1                             
053651,001522: 12,3224           14017                           STODL    1/MU                                  
053652,001523: 12,3225           02673                                    TDESIRED                              
053653,001524: 12,3226           77675                           DMPR                                           
053654,001525: 12,3227           11502                                    BEE19                                 
053655,001526: 12,3230           03777                           STORE    EPSILONL                              
053656,001527: 12,3231           77214                           SET      VLOAD                                 
053657,001528: 12,3232           00474                                    SLOPESW                               
053658,001529: 12,3233           02657                                    R1VEC                                 
053659,001530: 12,3234           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)        PL AT 6
053660,001531: 12,3235           02665                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
053661,001532: 12,3236           11570                                    GEOM                                  
053662,001533: 12,3237           16732                           STODL    SNTH                                  #  0D=CSTH (+1)                 PL AT 2
053663,001534: 12,3240           02722                                    MAGVEC2                               
053664,001535: 12,3241           65301                           NORM     PDDL                                  #                               PL AT 4
053665,001536: 12,3242           00047                                    X1                                    
053666,001537: 12,3243           00041                                    R1                                    
053667,001538: 12,3244           56342                           SR1      DDV                                   #                               PL AT 2
053668,001539: 12,3245           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)  PL AT 0,2
053669,001540: 12,3246           20173                                    0          -6,1                       
053670,001541: 12,3247           77626                           STADR                                          
053671,001542: 12,3250           75043                           STORE    CSTH                                  #  CSTH (+1)
053672,001543: 12,3251           44342                           SR1      BDSU                                  
053673,001544: 12,3252           11477                                    D1/4                                  
053674,001545: 12,3253           02736                           STORE    1-CSTH                                #  1-CSTH (+2)
053675,001546: 
053676,001547: 12,3254           53106                           ROUND    BZE                                   
053677,001548: 12,3255           25465                                    360LAMB                               
053678,001549: 12,3256           65301                           NORM     PDDL                                  #                               PL AT 4
053679,001550: 12,3257           00047                                    X1                                    
053680,001551: 12,3260           00001                                    0D                                    
053681,001552: 12,3261           56342                           SR1      DDV                                   #                               PL AT 2
053682,001553: 12,3262           75457                           SL*      SQRT                                  
053683,001554: 12,3263           20176                                    0          -3,1                       
053684,001555: 12,3264           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5) PL AT 4
053685,001556: 12,3265           02732                                    SNTH                                  
053686,001557: 12,3266           20607                                    6                                     
053687,001558: 12,3267           43271                           DDV      DAD                                   #                               PL AT 2
053688,001559: 12,3270           02736                                    1-CSTH                                
053689,001560: 12,3271           77626                           STADR                                          
053690,001561: 12,3272           77760                           STORE    COGAMAX                               
053691,001562: 12,3273           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
053692,001563: 12,3274           25301                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE
053693,001564: 12,3275           25304                                    MAXCOGA                               #    THIS WOULD BE RESET IN LAMBLOOP

Page 1264

053695,001566: 12,3276           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
053696,001567: 12,3277           11521                                    COGUPLIM                              
053697,001568: 12,3300           25304                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
053698,001569: 12,3301           77745        UPLIM              DLOAD                                          
053699,001570: 12,3302           11521                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
053700,001571: 12,3303           00017                           STORE    COGAMAX                               #    NOT CAUSING OVFL IN R1A CALCULATION
053701,001572: 12,3304           77745        MAXCOGA            DLOAD                                          
053702,001573: 12,3305           02734                                    CSTH                                  
053703,001574: 12,3306           45261                           SR       DSU                                   #                               PL AT 0
053704,001575: 12,3307           20607                                    6                                     
053705,001576: 12,3310           77626                           STADR                                          
053706,001577: 12,3311           61037                           STODL    CSTH-RHO                              
053707,001578: 12,3312           02675                                    GEOMSGN                               
053708,001579: 12,3313           71240                           BMN      DLOAD                                 
053709,001580: 12,3314           25505                                    LOLIM                                 
053710,001581: 12,3315           02740                                    CSTH-RHO                              
053711,001582: 12,3316           56352                           SL1      DDV                                   
053712,001583: 12,3317           02732                                    SNTH                                  
053713,001584: 12,3320           77600                           BOV                                            
053714,001585: 12,3321           25505                                    LOLIM                                 
053715,001586: 12,3322           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
053716,001587: 12,3323           66214                           BON      SSP                                   
053717,001588: 12,3324           00715                                    GUESSW                                
053718,001589: 12,3325           25471                                    NOGUESS                               
053719,001590: 12,3326           00051                                    TWEEKIT                               
053720,001591: 12,3327           00001                                    00001                                 
053721,001592: 12,3330           77745                           DLOAD                                          
053722,001593: 12,3331           03775                                    COGA                                  
053723,001594: 
053724,001595: 
053725,001596: 12,3332           77605        LAMBLOOP           DMP                                            
053726,001597: 12,3333           02732                                    SNTH                                  
053727,001598: 12,3334           45342                           SR1      DSU                                   
053728,001599: 12,3335           02740                                    CSTH-RHO                              
053729,001600: 12,3336           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
053730,001601: 12,3337           00047                                    X1                                    
053731,001602: 12,3340           02736                                    1-CSTH                                
053732,001603: 12,3341           56257                           SL*      DDV                                   #  1-CSTH  (+2)                 PL AT 0
053733,001604: 12,3342           20170                                    0          -9D,1                      
053734,001605: 12,3343           53040                           BMN      BZE                                   
053735,001606: 12,3344           25421                                    NEGP                                  
053736,001607: 12,3345           25421                                    NEGP                                  
053737,001608: 12,3346           16742                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
053738,001609: 12,3347           03775                                    COGA                                  
053739,001610: 12,3350           43316                           DSQ      DAD                                   
053740,001611: 12,3351           11505                                    D1/1024                               
053741,001612: 12,3352           41301                           NORM     DMP                                   
053742,001613: 12,3353           00047                                    X1                                    
053743,001614: 12,3354           02742                                    P                                     
053744,001615: 12,3355           44257                           SR*      BDSU                                  

Page 1265

053746,001617: 12,3356           20571                                    0          -8D,1                      
053747,001618: 12,3357           11503                                    D1/32                                 
053748,001619: 12,3360           16744                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
053749,001620: 
053750,001621: 12,3361           02742                                    P                                     
053751,001622: 12,3362           45000                           BOV      CALL                                  
053752,001623: 12,3363           25424                                    HIENERGY                              
053753,001624: 12,3364           24772                                    GETX                                  
053754,001625: 12,3365           77745                           DLOAD                                          
053755,001626: 12,3366           00037                                    T                                     
053756,001627: 12,3367           16764                           STODL    TPREV                                 
053757,001628: 12,3370           00031                                    XI                                    
053758,001629: 12,3371           45014                           BON      CALL                                  
053759,001630: 12,3372           04310                                    INFINFLG                              
053760,001631: 12,3373           25421                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
053761,001632: 12,3374           24426                                    DELTIME                               
053762,001633: 12,3375           44200                           BOV      BDSU                                  
053763,001634: 12,3376           25441                                    BIGTIME                               
053764,001635: 12,3377           02673                                    TDESIRED                              
053765,001636: 12,3400           02762                           STORE    TERRLAMB                              
053766,001637: 12,3401           44246                           ABS      BDSU                                  
053767,001638: 12,3402           03777                                    EPSILONL                              
053768,001639: 12,3403           47044                           BPL      RTB                                   
053769,001640: 12,3404           25510                                    INITV                                 
053770,001641: 12,3405           24651                                    CHECKCTR                              
053771,001642: 12,3406           45030                           BHIZ     CALL                                  
053772,001643: 12,3407           25452                                    SUFFCHEK                              
053773,001644: 12,3410           24543                                    ITERATOR                              
053774,001645: 12,3411           53145                           DLOAD    BZE                                   
053775,001646: 12,3412           00155                                    MPAC                                  
053776,001647: 12,3413           25452                                    SUFFCHEK                              
053777,001648: 12,3414           77615                           DAD                                            
053778,001649: 12,3415           03775                                    COGA                                  
053779,001650: 12,3416           03775                           STORE    COGA                                  
053780,001651: 12,3417           77650                           GOTO                                           
053781,001652: 12,3420           25332                                    LAMBLOOP                              
053782,001653: 
053783,001654: 
053784,001655: 12,3421           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
053785,001656: 12,3422           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
053786,001657: 12,3423           25444                                    LOENERGY                              
053787,001658: 
053788,001659: 
053789,001660: 12,3424           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
053790,001661: 12,3425           00001                                    0                                     
053791,001662: 12,3426           03775                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
053792,001663: 12,3427           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
053793,001664: 12,3430           70545        COMMONLM           DLOAD    SR1                                   
053794,001665: 12,3431           00015                                    DCOGA                                 
053795,001666: 12,3432           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT

Page 1266

053797,001668: 12,3433           44254                           BZE      BDSU                                  
053798,001669: 12,3434           25452                                    SUFFCHEK                              
053799,001670: 12,3435           03775                                    COGA                                  
053800,001671: 12,3436           03775                           STORE    COGA                                  
053801,001672: 12,3437           77650                           GOTO                                           #  RESTART THIS LOOP
053802,001673: 12,3440           25332                                    LAMBLOOP                              
053803,001674: 
053804,001675: 
053805,001676: 12,3441           77745        BIGTIME            DLOAD                                          
053806,001677: 12,3442           02764                                    TPREV                                 
053807,001678: 12,3443           00037                           STORE    T                                     
053808,001679: 
053809,001680: 
053810,001681: 12,3444           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
053811,001682: 12,3445           00001                                    0                                     
053812,001683: 12,3446           03775                                    COGA                                  #  IN OVERFLOW OF TIME.
053813,001684: 12,3447           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
053814,001685: 12,3450           77650                           GOTO                                           
053815,001686: 12,3451           25430                                    COMMONLM                              
053816,001687: 
053817,001688: 
053818,001689: 12,3452           51545        SUFFCHEK           DLOAD    ABS                                   
053819,001690: 12,3453           02762                                    TERRLAMB                              
053820,001691: 12,3454           41325                           PDDL     DMP                                   #                               PL AT 2D
053821,001692: 12,3455           02673                                    TDESIRED                              
053822,001693: 12,3456           11477                                    D1/4                                  
053823,001694: 12,3457           45215                           DAD      DSU                                   #                               PL AT 0D
053824,001695: 12,3460           11517                                    ONEBIT                                
053825,001696: 12,3461           43044                           BPL      SETGO                                 
053826,001697: 12,3462           25510                                    INITV                                 
053827,001698: 12,3463           02434                                    SOLNSW                                
053828,001699: 12,3464           02712                                    RTNLAMB                               
053829,001700: 
053830,001701: 
053831,001702: 12,3465           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
053832,001703: 12,3466           00001                                    0                                     
053833,001704: 12,3467           02434                                    SOLNSW                                
053834,001705: 12,3470           02712                                    RTNLAMB                               
053835,001706: 
053836,001707: 
053837,001708: 12,3471           71331        NOGUESS            SSP      DLOAD                                 
053838,001709: 12,3472           00051                                    TWEEKIT                               
053839,001710: 12,3473           10000                                    20000                                 
053840,001711: 12,3474           00011                                    COGAMIN                               
053841,001712: 12,3475           65342                           SR1      PDDL                                  #                               PL AT 2
053842,001713: 12,3476           00017                                    COGAMAX                               
053843,001714: 12,3477           43342                           SR1      DAD                                   
053844,001715: 12,3500           77626                           STADR                                          #                               PL AT 0
053845,001716: 12,3501           74002                           STORE    COGA                                  
053846,001717: 12,3502           00015                           STORE    DCOGA                                 

Page 1267

053848,001719: 12,3503           77650                           GOTO                                           
053849,001720: 12,3504           25332                                    LAMBLOOP                              
053850,001721: 
053851,001722: 
053852,001723: 12,3505           52145        LOLIM              DLOAD    GOTO                                  
053853,001724: 12,3506           11523                                    COGLOLIM                              #  COGLOLIM=-.999511597
053854,001725: 12,3507           25322                                    MINCOGA                               
053855,001726: 
053856,001727: 
053857,001728: 12,3510           60345        INITV              DLOAD    NORM                                  
053858,001729: 12,3511           00041                                    R1                                    
053859,001730: 12,3512           00047                                    X1                                    
053860,001731: 12,3513           70525                           PDDL     SR1                                   #                               PL AT 2
053861,001732: 12,3514           02742                                    P                                     
053862,001733: 12,3515           77671                           DDV                                            #                               PL AT 0
053863,001734: 12,3516           75457                           SL*      SQRT                                  
053864,001735: 12,3517           20175                                    0          -4,1                       
053865,001736: 12,3520           72405                           DMP      SL1                                   
053866,001737: 12,3521           00021                                    ROOTMU                                
053867,001738: 12,3522           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                 PL AT 2
053868,001739: 12,3523           03775                                    COGA                                  
053869,001740: 12,3524           74261                           SL       VXSC                                  
053870,001741: 12,3525           20206                                    5                                     
053871,001742: 12,3526           02724                                    UR1                                   
053872,001743: 12,3527           77725                           PDDL                                           #  XCH WITH 0D                  PL AT 0,6
053873,001744: 12,3530           76561                           VXSC     VSL1                                  
053874,001745: 12,3531           02676                                    UN                                    
053875,001746: 12,3532           53235                           VXV      VAD                                   #                               PL AT 0
053876,001747: 12,3533           02724                                    UR1                                   
053877,001748: 12,3534           43172                           VSL1     CLEAR                                 
053878,001749: 12,3535           02674                                    SOLNSW                                
053879,001750: 12,3536           02746                           STORE    VVEC                                  
053880,001751: 12,3537           53135                           SLOAD    BZE                                   
053881,001752: 12,3540           02704                                    VTARGTAG                              
053882,001753: 12,3541           25544                                    TARGETV                               
053883,001754: 12,3542           77650                           GOTO                                           
053884,001755: 12,3543           02712                                    RTNLAMB                               
053885,001756: 
053886,001757: 
053887,001758: 12,3544           45145        TARGETV            DLOAD    CALL                                  
053888,001759: 12,3545           02722                                    MAGVEC2                               
053889,001760: 12,3546           24706                                    LAMENTER                              
053890,001761: 12,3547           02705                           STORE    VTARGET                               
053891,001762: 12,3550           77650                           GOTO                                           
053892,001763: 12,3551           02712                                    RTNLAMB                               
053893,001764: 

Page 1268

053895,001766: 12,3552           40220        TIMERAD            STQ      SETPD                                 #                                  PL AT 0
053896,001767: 12,3553           02712                                    RTNTR                                 
053897,001768: 12,3554           00001                                    0                                     
053898,001769: 12,3555           63375                           VLOAD    PDVL                                  #                                  PL AT 6
053899,001770: 12,3556           02657                                    RVEC                                  
053900,001771: 12,3557           02746                                    VVEC                                  
053901,001772: 12,3560           77624                           CALL                                           
053902,001773: 12,3561           11524                                    PARAM                                 
053903,001774: 12,3562           71200                           BOV      DLOAD                                 #                                  PL AT 0
053904,001775: 12,3563           24767                                    COGAOVFL                              
053905,001776: 12,3564           11503                                    D1/32                                 
053906,001777: 12,3565           41225                           DSU      DMP                                   
053907,001778: 12,3566           02744                                    R1A                                   
053908,001779: 12,3567           02742                                    P                                     
053909,001780: 12,3570           41366                           SQRT     DMP                                   
053910,001781: 12,3571           03775                                    COGA                                  
053911,001782: 12,3572           74212                           SL4      VXSC                                  
053912,001783: 12,3573           02714                                    U2                                    
053913,001784: 12,3574           45325                           PDDL     DSU                                   #                                  PL AT 6
053914,001785: 12,3575           11475                                    D1/64                                 
053915,001786: 12,3576           02744                                    R1A                                   
053916,001787: 12,3577           52361                           VXSC     VSU                                   #                                  PL AT 0
053917,001788: 12,3600           02724                                    UR1                                   
053918,001789: 12,3601           53512                           VSL4     UNIT                                  
053919,001790: 12,3602           77600                           BOV                                            
053920,001791: 12,3603           25465                                    360LAMB                               #  NO SOLUTION SINCE CONIC IS A CIRCLE
053921,001792: 12,3604           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)               PL AT 6
053922,001793: 12,3605           02760                                    RDESIRED                              #  36D=ECC (+3)
053923,001794: 12,3606           00047                                    X1                                    
053924,001795: 12,3607           41325                           PDDL     DMP                                   #                               PL AT 8
053925,001796: 12,3610           00041                                    R1                                    
053926,001797: 12,3611           02742                                    P                                     
053927,001798: 12,3612           56257                           SL*      DDV                                   #                               PL AT 6
053928,001799: 12,3613           20201                                    0,1                                   
053929,001800: 12,3614           56225                           DSU      DDV                                   
053930,001801: 12,3615           11501                                    D1/16                                 
053931,001802: 12,3616           00045                                    36D                                   #  36D=ECC (+3)
053932,001803: 12,3617           00031                           STORE    COSF                                  
053933,001804: 12,3620           63400                           BOV      DSQ                                   
053934,001805: 12,3621           25661                                    BADR2                                 
053935,001806: 12,3622           50021                           BDSU     BMN                                   
053936,001807: 12,3623           11477                                    D1/4                                  
053937,001808: 12,3624           25661                                    BADR2                                 
053938,001809: 12,3625           75366                           SQRT     SIGN                                  
053939,001810: 12,3626           02757                                    SGNRDOT                               
053940,001811: 12,3627           77614                           CLEAR                                          
053941,001812: 12,3630           04272                                    APSESW                                
053942,001813: 
053943,001814: 12,3631           76561        TERMNVEC           VXSC     VSL1                                  
053944,001815: 12,3632           02676                                    UN                                    

Page 1269

053946,001817: 12,3633           63235                           VXV      PDVL                                  #  VXCH WITH 0D                 PL AT 0,6
053947,001818: 12,3634           00001                                    0D                                    
053948,001819: 12,3635           53361                           VXSC     VAD                                   #                               PL AT 0
053949,001820: 12,3636           00031                                    COSF                                  
053950,001821: 12,3637           41572                           VSL1     PUSH                                  #  0D=U2                        PL AT 6
053951,001822: 
053952,001823: 12,3640           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
053953,001824: 12,3641           02724                                    UR1                                   
053954,001825: 12,3642           23701                                    DP1/4                                 
053955,001826: 12,3643           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
053956,001827: 12,3644           25645                                    +1                                    #  CLEAR OVFIND IF SET
053957,001828: 12,3645           26734                           STOVL    CSTH                                  #  CSTH (+1)
053958,001829: 12,3646           02724                                    UR1                                   
053959,001830: 12,3647           76435                           VXV      VSL1                                  
053960,001831: 12,3650           72441                           DOT      SL1                                   
053961,001832: 12,3651           02676                                    UN                                    
053962,001833: 12,3652           16732                           STODL    SNTH                                  #  SNTH (+1)
053963,001834: 12,3653           02742                                    P                                     
053964,001835: 12,3654           77624                           CALL                                           
053965,001836: 12,3655           24772                                    GETX                                  
053966,001837: 12,3656           77614                           CLRGO                                          
053967,001838: 12,3657           02634                                    SOLNSW                                
053968,001839: 12,3660           24752                                    COMMNOUT                              
053969,001840: 
053970,001841: 
053971,001842: 12,3661           75345        BADR2              DLOAD    SIGN                                  
053972,001843: 12,3662           11451                                    LODPHALF                              
053973,001844: 12,3663           00031                                    COSF                                  
053974,001845: 12,3664           14031                           STODL    COSF                                  
053975,001846: 12,3665           11453                                    KEPZERO                               
053976,001847: 12,3666           77614                           SETGO                                          
053977,001848: 12,3667           04032                                    APSESW                                
053978,001849: 12,3670           25631                                    TERMNVEC                              
053979,001850: 12,3671           40220        APSIDES            STQ      SETPD                                 #                                 PL AT  0
053980,001851: 12,3672           02712                                    RTNAPSE                               
053981,001852: 12,3673           00001                                    0D                                    
053982,001853: 12,3674           63375                           VLOAD    PDVL                                  #                                 PL AT  6
053983,001854: 12,3675           02657                                    RVEC                                  
053984,001855: 12,3676           02746                                    VVEC                                  
053985,001856: 12,3677           77624                           CALL                                           
053986,001857: 12,3700           11524                                    PARAM                                 
053987,001858: 12,3701           77600                           BOV                                            #                                 PL AT  0
053988,001859: 12,3702           25703                                    GETECC                                
053989,001860: 12,3703           42405        GETECC             DMP      SL4                                   
053990,001861: 12,3704           02744                                    R1A                                   
053991,001862: 12,3705           75421                           BDSU     SQRT                                  
053992,001863: 12,3706           11475                                    D1/64                                 
053993,001864: 12,3707           02754                           STORE    ECC                                   
053994,001865: 12,3710           65215                           DAD      PDDL                                  #                                 PL AT  2
053995,001866: 12,3711           11471                                    D1/8                                  

Page 1270

053997,001868: 12,3712           00041                                    R1                                    
053998,001869: 12,3713           72405                           DMP      SL1                                   
053999,001870: 12,3714           02742                                    P                                     
054000,001871: 12,3715           77671                           DDV                                            #                                 PL AT  0
054001,001872: 12,3716           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)             PL AT  2
054002,001873: 12,3717           02744                                    R1A                                   
054003,001874: 12,3720           00047                                    X1                                    
054004,001875: 12,3721           53725                           PDDL     SL*                                   #                                 PL AT  4
054005,001876: 12,3722           00041                                    R1                                    
054006,001877: 12,3723           20174                                    0          -5,1                       
054007,001878: 12,3724           45271                           DDV      DSU                                   #                                 PL AT 2,0
054008,001879: 12,3725           50000                           BOV      BMN                                   
054009,001880: 12,3726           25732                                    INFINAPO                              
054010,001881: 12,3727           25732                                    INFINAPO                              
054011,001882: 12,3730           77650                           GOTO                                           
054012,001883: 12,3731           02712                                    RTNAPSE                               
054013,001884: 12,3732           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
054014,001885: 12,3733           11464                                    LDPOSMAX                              
054015,001886: 12,3734           02712                                    RTNAPSE                               #  THAT PL IS AT 0.
054016,001887: 

Page 1271

054018,001889: 04,2000                                           SETLOC   CONICS1                               
054019,001890: 04,2000                                           BANK                                           
054020,001891: 
054021,001892: 04,3625                                           COUNT    04/CONIC                              
054022,001893: 
054023,001894: 04,3625           22437 16067  MUTABLE            2DEC*    3.986032   E10        B-36*           #  MUE
054024,001895: 04,3627           15625 21042                     2DEC*    .25087606  E-10       B+34*           #  1/MUE
054025,001896: 04,3631           30276 04773                     2DEC*    1.99650495 E5         B-18*           #  SQRT(MUE)
054026,001897: 04,3633           25004 06702                     2DEC*    .50087529  E-5        B+17*           #  1/SQRT(MUE)
054027,001898: 
054028,001899: 04,3635           16471 01352                     2DEC     4.902778   E8         B-30            #  MUM
054029,001900: 04,3637           21412 20500                     2DEC     .203966    E-8        B+28            #  1/MUM
054030,001901: 04,3641           25477 03367                     2DEC*    2.21422176 E4         B-15*           #  SQRT(MUM)
054031,001902: 04,3643           27533 07571                     2DEC*    .45162595  E-4        B+14*           #  1/SQRT(MUM)
054032,001903: 
054033,001904: 
054034,001905: 04,3645  04,3463               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
054035,001906: 
054036,001907:                                                                                                  #  ERASABLE ASSIGNMENTS
054037,001908: 
054038,001909: 
054039,001910:                                                                                                  #  KEPLER SUBROUTINE
054040,001911: 
054041,001912:                                                                                                  #     INPUT -
054042,001913:                                                                                                  #  RRECT    ERASE  +5
054043,001914:                                                                                                  #  VRECT    ERASE  +5
054044,001915:                                                                                                  #  TAU.     ERASE  +1
054045,001916:                                                                                                  #  XKEP     ERASE  +1
054046,001917:                                                                                                  #  TC       ERASE  +1
054047,001918:                                                                                                  #  XPREV    ERASE  +1
054048,001919: 04,3645                        1/MU               EQUALS   14D                                   
054049,001920: 04,3645                        ROOTMU             EQUALS   16D                                   
054050,001921: 04,3645                        1/ROOTMU           EQUALS   18D                                   
054051,001922:                                                                                                  #     OUTPUT -
054052,001923:                                                                                                  #  RCV      ERASE  +5
054053,001924:                                                                                                  #  VCV      ERASE  +5
054054,001925:                                                                                                  #  RC       ERASE  +1
054055,001926:                                                                                                  #  XPREV    ERASE  +1
054056,001927: 
054057,001928:                                                                                                  #     DEBRIS -
054058,001929: 04,3645                        ALPHA              EQUALS   8D                                    
054059,001930: 04,3645                        XMAX               EQUALS   10D                                   

Page 1272

054061,001932: 04,3645                        XMIN               EQUALS   12D                                   
054062,001933: 04,3645                        X                  EQUALS   20D                                   
054063,001934: 04,3645                        XI                 EQUALS   24D                                   
054064,001935: 04,3645                        S(XI)              EQUALS   26D                                   
054065,001936: 04,3645                        XSQC(XI)           EQUALS   28D                                   
054066,001937: 04,3645                        T                  EQUALS   30D                                   
054067,001938: 04,3645                        R1                 EQUALS   32D                                   
054068,001939: 04,3645                        KEPC1              EQUALS   34D                                   
054069,001940: 04,3645                        KEPC2              EQUALS   36D                                   
054070,001941:                                                                                                  #  DELX     ERASE  +1
054071,001942:                                                                                                  #  DELT     ERASE  +1
054072,001943:                                                                                                  #  URRECT   ERASE  +5
054073,001944:                                                                                                  #  RCNORM   ERASE  +1
054074,001945:                                                                                                  #  XPREV    EQUALS XKEP
054075,001946: 
054076,001947: 
054077,001948:                                                                                                  #  LAMBERT SUBROUTINE
054078,001949: 
054079,001950:                                                                                                  #     INPUT-
054080,001951:                                                                                                  #  R1VEC    ERASE  +5
054081,001952:                                                                                                  #  R2VEC    ERASE  +5
054082,001953:                                                                                                  #  TDESIRED ERASE  +1
054083,001954:                                                                                                  #  GEOMSGN  ERASE  +0
054084,001955:                                                                                                  #  GUESSW                          0 IF COGA GUESS AVAILABLE, 1 IF NOT
054085,001956:                                                                                                  #  COGA     ERASE  +1              INPUT ONLY IF GUESSW IS ZERO.
054086,001957:                                                                                                  #  NORMSW                          0 IF UN TO BE COMPUTED, 1 IF UN INPUT
054087,001958:                                                                                                  #  UN       ERASE  +5              ONLY USED IF NORMSW IS 1
054088,001959:                                                                                                  #  VTARGTAG ERASE  +0
054089,001960:                                                                                                  #  TWEEKIT  EQUALS 40D             ONLY USED IF GUESSW IS 0
054090,001961: 
054091,001962:                                                                                                  #     OUTPUT -
054092,001963:                                                                                                  #  VTARGET  ERASE  +5              AVAILABLE ONLY IF VTARGTAG IS ZERO.
054093,001964:                                                                                                  #  V1VEC    EQUALS MPAC
054094,001965: 
054095,001966:                                                                                                  #     DEBRIS -
054096,001967:                                                                                                  #  RTNLAMB  ERASE  +0
054097,001968:                                                                                                  #  U2       ERASE  +5
054098,001969:                                                                                                  #  MAGVEC2  ERASE  +1
054099,001970:                                                                                                  #  UR1      ERASE  +5
054100,001971:                                                                                                  #  R1       EQUALS 31D
054101,001972:                                                                                                  #  UN       ERASE  +5
054102,001973:                                                                                                  #  SNTH     ERASE  +1
054103,001974:                                                                                                  #  CSTH     ERASE  +1
054104,001975:                                                                                                  #  1-CSTH   ERASE  +1
054105,001976:                                                                                                  #  CSTH-RHO ERASE  +1
054106,001977: 04,3645                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
054107,001978: 04,3645                        COGAMIN            EQUALS   8D                                    
054108,001979: 04,3645                        DCOGA              EQUALS   12D                                   
054109,001980:                                                                                                  #  TWEEKIT  EQUALS 40D
054110,001981:                                                                                                  #  P        ERASE  +1

Page 1273

054112,001983:                                                                                                  #  COGA     ERASE  +1
054113,001984:                                                                                                  #  R1A      ERASE  +1
054114,001985:                                                                                                  #  X        EQUALS 20D
054115,001986:                                                                                                  #  XSQ      EQUALS 22D
054116,001987:                                                                                                  #  XI       EQUALS 24D
054117,001988:                                                                                                  #  S(XI)    EQUALS 26D
054118,001989:                                                                                                  #  XSQC(XI) EQUALS 28D
054119,001990:                                                                                                  #  T        EQUALS 30D
054120,001991:                                                                                                  #  KEPC1    EQUALS 34D
054121,001992:                                                                                                  #  KEPC2    EQUALS 36D
054122,001993:                                                                                                  #  SLOPESW
054123,001994:                                                                                                  #  SOLNSW
054124,001995:                                                                                                  #  OTHERS -
054125,001996: 
054126,001997:                                                                                                  #  RVEC     EQUALS R1VEC
054127,001998:                                                                                                  #  VVEC     ERASE  +5
054128,001999:                                                                                                  #  COGAFLAG
054129,002000:                                                                                                  #  RVSW
054130,002001:                                                                                                  #  INFINFLG
054131,002002:                                                                                                  #  APSESW
054132,002003:                                                                                                  #  360SW
054133,002004:                                                                                                  #  RTNTT    EQUALS RTNLAMB
054134,002005:                                                                                                  #  ECC      ERASE  +1
054135,002006:                                                                                                  #  RTNTR    EQUALS RTNLAMB
054136,002007:                                                                                                  #  RTNAPSE  EQUALS RTNLAMB
054137,002008:                                                                                                  #  R2       EQUALS MAGVEC2
054138,002009: 04,3645                        COSF               EQUALS   24D                                   
054139,002010:                                                                                                  #  RTNPRM   ERASE  +0
054140,002011:                                                                                                  #  SGNRDOT  ERASE  +0
054141,002012:                                                                                                  #  RDESIRED ERASE  +1
054142,002013: 
054143,002014: 
054144,002015:                                                                                                  #  ITERATOR SUBROUTINE
054145,002016: 
054146,002017:                                                                                                  #  ORDERSW
054147,002018: 04,3645                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
054148,002019: 04,3645                        MIN                EQUALS   8D                                    
054149,002020:                                                                                                  #  INDEP    ERASE  +1
054150,002021: 04,3645                        DELINDEP           EQUALS   12D                                   
054151,002022: 04,3645                        ITERCTR            EQUALS   22D                                   
054152,002023: 04,3645                        DEP                EQUALS   30D                                   
054153,002024:                                                                                                  #  DELDEP   ERASE  +1
054154,002025:                                                                                                  #  DEPREV   ERASE  +1
054155,002026: 04,3645                        TWEEKIT            EQUALS   40D                                   
054156,002027: 
054157,002028: 
054158,002029:                                                                                                  #  MORE KEPLER
054159,002030: 
054160,002031:                                                                                                  #  EPSILONT ERASE  +1
054161,002032: 

Page 1274

054163,002034:                                                                                                  #  MORE LAMBERT
054164,002035: 
054165,002036:                                                                                                  #  TERRLAMB EQUALS DELDEP
054166,002037:                                                                                                  #  TPREV    EQUALS DEPREV
054167,002038: 
054168,002039: 
054169,002040:                                                                                                  #  EPSILONL EQUALS EPSILONT +2     DOUBLE PRECISION WORD

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