Source Code

These source-code files were transcribed from a printout in Don Eyles's personal collection, scanned by archive.org, and financially sponsored by Linden Sims. A team of volunteers performed the transcription and proof-reading. The scanned page images are available at the Virtual AGC Project website, as well as higher-quality (but much larger) images at the Virtual AGC Project's collection in the Internet Archive. Report any problems by creating "issues" at the Virtual AGC Project's GitHub Repository.

Notations on the program listing read, in part:

	GAP:  ASSEMBLE REVISION 56 OF AGC PROGRAM ZERLINA BY ZOROASTER
	9:12 OCT. 21,1970
Note that the date is the date of the printout, not the date of the program revision.

050128,000002:                                                                                                  ## Copyright:   Public domain.
050129,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
050130,000004:                                                                                                  ## Purpose:     A log section of Zerlina 56, the final revision of
050131,000005:                                                                                                  ##              Don Eyles's offline development program for the variable 
050132,000006:                                                                                                  ##              guidance period servicer. It also includes a new P66 with LPD 
050133,000007:                                                                                                  ##              (Landing Point Designator) capability, based on an idea of John 
050134,000008:                                                                                                  ##              Young's. Neither of these advanced features were actually flown,
050135,000009:                                                                                                  ##              but Zerlina was also the birthplace of other big improvements to
050136,000010:                                                                                                  ##              Luminary including the terrain model and new (Luminary 1E)
050137,000011:                                                                                                  ##              analog display programs. Zerlina was branched off of Luminary 145,
050138,000012:                                                                                                  ##              and revision 56 includes all changes up to and including Luminary
050139,000013:                                                                                                  ##              183. It is therefore quite close to the Apollo 14 program,
050140,000014:                                                                                                  ##              Luminary 178, where not modified with new features.
050141,000015:                                                                                                  ## Reference:   pp. 1150-1194
050142,000016:                                                                                                  ## Assembler:   yaYUL
050143,000017:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
050144,000018:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
050145,000019:                                                                                                  ## Mod history: 2017-07-28 MAS  Created from Luminary 210.
050146,000020:                                                                                                  ##              2017-08-28 MAS  Updated for Zerlina 56.
050147,000021: 

Page 1150

050149,000023:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION                       DATE - 1 SEPTEMBER 1967
050150,000024:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050151,000025:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050152,000026: 
050153,000027: 
050154,000028: 
050155,000029:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050156,000030: 
050157,000031:                                                                                                  #       THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
050158,000032:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
050159,000033:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
050160,000034:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
050161,000035:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
050162,000036:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
050163,000037:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
050164,000038:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
050165,000039:                                                                                                  #  TINES APPROPRIATELY.
050166,000040:                                                                                                  #       DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
050167,000041:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
050168,000042:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
050169,000043: 
050170,000044: 
050171,000045:                                                                                                  #  RESTRICTIONS -
050172,000046: 
050173,000047:                                                                                                  #       THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
050174,000048:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
050175,000049:                                                                                                  #  TORIES COULD BE HANDLED.
050176,000050:                                                                                                  #       SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
050177,000051:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
050178,000052:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
050179,000053: 

Page 1151

050181,000055:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                                 DATE - 11 OCTOBER 1967
050182,000056:                                                                                                  #  MOD NO. -1                                                                       LOG SECTION - CONIC SUBROUTINES
050183,000057:                                                                                                  #  MOD BY KRAUSE                                                           ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
050184,000058:                                                                                                  #  MOD NO. - 2  (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
050185,000059: 
050186,000060: 
050187,000061:                                                                                                  #  MOD NO. - 3  (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
050188,000062: 
050189,000063: 
050190,000064:                                                                                                  #  MOD. NO. - 4  (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
050191,000065: 
050192,000066: 
050193,000067:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050194,000068:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
050195,000069:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
050196,000070:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
050197,000071:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
050198,000072:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
050199,000073:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
050200,000074:                                                                                                  #       IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
050201,000075:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
050202,000076:                                                                                                  #       IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
050203,000077:                                                                                                  #  MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
050204,000078: 
050205,000079: 
050206,000080:                                                                                                  #  THE RESTRICTIONS ARE -
050207,000081:                                                                                                  #       1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
050208,000082:                                                                                                  #       2.  THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
050209,000083:                                                                                                  #  ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050210,000084: 
050211,000085: 
050212,000086:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
050213,000087:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
050214,000088:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
050215,000089: 
050216,000090: 
050217,000091: 
050218,000092:                                                                                                  #  REFERENCES -
050219,000093:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
050220,000094:                                                                                                  #  MEMO 67-4.
050221,000095: 
050222,000096: 
050223,000097: 
050224,000098:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050225,000099: 
050226,000100:                                                                                                  #          * SCALE FACTOR *
050227,000101:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050228,000102:                                                                                                  #  --------*--------------*                         -----------------------
050229,000103:                                                                                                  #  RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050230,000104:                                                                                                  #          * +27 FOR MOON *

Page 1152

050232,000106:                                                                                                  #  VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050233,000107:                                                                                                  #          * +5 FOR MOON  *
050234,000108:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050235,000109:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
050236,000110:                                                                                                  #  TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
050237,000111:                                                                                                  #          *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
050238,000112:                                                                                                  #  XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
050239,000113:                                                                                                  #          * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD,VIZ, 2PI SQRT(SEMI-
050240,000114:                                                                                                  #          *              *    MAJOR AXIS),FOR SPEED OF CONVERGENCE,BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
050241,000115:                                                                                                  #          *              *    BY KEPLER TO A POOR BUT VALID GUESS.
050242,000116:                                                                                                  #  TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
050243,000117:                                                                                                  #  XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
050244,000118:                                                                                                  #          * +16 FOR MOON *    ORBITAL PERIOD,VIZ,2PI SQRT(SEMI-MAJOR AXIS)
050245,000119: 
050246,000120: 
050247,000121: 
050248,000122:                                                                                                  #  SUBROUTINES CALLED -
050249,000123:                                                                                                  #       DELTIME
050250,000124: 
050251,000125: 
050252,000126: 
050253,000127:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050254,000128: 
050255,000129:                                                                                                  #  KEPRTN-2 GOTO                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050256,000130:                                                                                                  #  KEPRTN-1        KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
050257,000131:                                                                                                  #  KEPRTN   ...                    CONTINUE
050258,000132: 
050259,000133:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
050260,000134:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
050261,000135:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
050262,000136: 
050263,000137: 
050264,000138: 
050265,000139:                                                                                                  #  ABORT EXIT MODES -
050266,000140:                                                                                                  #       NONE
050267,000141: 
050268,000142: 
050269,000143: 
050270,000144:                                                                                                  #  OUTPUT -
050271,000145: 
050272,000146:                                                                                                  #          * SCALE FACTOR *
050273,000147:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050274,000148:                                                                                                  #  --------*--------------*                         -----------------------
050275,000149:                                                                                                  #  RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
050276,000150:                                                                                                  #          * +27 FOR MOON *
050277,000151:                                                                                                  #  VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
050278,000152:                                                                                                  #          * +5 FOR MOON  *
050279,000153:                                                                                                  #  TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
050280,000154:                                                                                                  #  XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
050281,000155:                                                                                                  #          * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1153

050283,000157:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050284,000158: 
050285,000159: 
050286,000160: 
050287,000161:                                                                                                  #  DEBRIS -
050288,000162: 
050289,000163:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050290,000164: 
050291,000165:                                                                                                  #          * SCALE FACTOR *
050292,000166:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050293,000167:                                                                                                  #  --------*--------------*                         -----------------------
050294,000168:                                                                                                  #  URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
050295,000169:                                                                                                  #  R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
050296,000170:                                                                                                  #          * +27 FOR MOON *
050297,000171:                                                                                                  #  ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
050298,000172:                                                                                                  #          * -20 FOR MOON *
050299,000173:                                                                                                  #  TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN  CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
050300,000174:                                                                                                  #          *              *TAU. OF LESS THAN ONE PERIOD.
050301,000175: 
050302,000176:                                                                                                  #       PARAMETERS OF NO USE -
050303,000177:                                                                                                  #  DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
050304,000178: 
050305,000179: 

Page 1154

050307,000181:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
050308,000182:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050309,000183:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050310,000184: 
050311,000185: 
050312,000186: 
050313,000187:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050314,000188: 
050315,000189:                                                                                                  #       THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
050316,000190:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
050317,000191:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
050318,000192:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
050319,000193:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
050320,000194:                                                                                                  #  UTILIZED IN THE COMPUTATION.
050321,000195: 
050322,000196: 
050323,000197:                                                                                                  #  THE RESTRICTIONS ARE -
050324,000198:                                                                                                  #       1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
050325,000199:                                                                                                  #       2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
050326,000200:                                                                                                  #       3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050327,000201:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
050328,000202:                                                                                                  #       4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
050329,000203:                                                                                                  #       5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
050330,000204:                                                                                                  #  LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050331,000205:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
050332,000206:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                THE AGC COMPUTATION TIME IS APPROXIMATE-
050333,000207:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
050334,000208: 
050335,000209: 
050336,000210: 
050337,000211:                                                                                                  #  REFERENCES -
050338,000212:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8,
050339,000213:                                                                                                  #  SGA MEMO 67-4.
050340,000214: 
050341,000215: 
050342,000216: 
050343,000217:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050344,000218: 
050345,000219:                                                                                                  #          * SCALE FACTOR *
050346,000220:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050347,000221:                                                                                                  #  --------*--------------*                         -----------------------
050348,000222:                                                                                                  #  R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050349,000223:                                                                                                  #          * +27 FOR MOON *
050350,000224:                                                                                                  #  R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
050351,000225:                                                                                                  #          * +27 FOR MOON *
050352,000226:                                                                                                  #  TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
050353,000227:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050354,000228:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
050355,000229:                                                                                                  #  GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
050356,000230:                                                                                                  #  GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1155

050358,000232:                                                                                                  #          *              *COGA IS TO BE USED BY LAMBERT
050359,000233:                                                                                                  #  COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
050360,000234:                                                                                                  #                         *IGNORED IF GUESSW IS SET.
050361,000235:                                                                                                  #  NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
050362,000236:                                                                                                  #          *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
050363,000237:                                                                                                  #  UN      * +1           *DP UNIT  NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
050364,000238:                                                                                                  #          *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
050365,000239:                                                                                                  #  VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
050366,000240:                                                                                                  #          *              *AT R1VEC.
050367,000241:                                                                                                  #  ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
050368,000242:                                                                                                  #          *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
050369,000243:                                                                                                  #          *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
050370,000244:                                                                                                  #          *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
050371,000245: 
050372,000246: 
050373,000247:                                                                                                  #  SUBROUTINES CALLED -
050374,000248:                                                                                                  #       GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
050375,000249: 
050376,000250: 
050377,000251: 
050378,000252:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050379,000253: 
050380,000254:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050381,000255:                                                                                                  #  L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
050382,000256:                                                                                                  #                                  IN MPAC IF VTARGTAG WAS ZERO
050383,000257:                                                                                                  #  L+2      BON                    CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
050384,000258:                                                                                                  #  L+3             SOLNSW
050385,000259:                                                                                                  #  L+4             LAMABORT
050386,000260:                                                                                                  #       IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
050387,000261:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
050388,000262: 
050389,000263: 
050390,000264: 
050391,000265:                                                                                                  #  ABORT EXIT MODES -
050392,000266:                                                                                                  #       IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
050393,000267:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
050394,000268:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
050395,000269:                                                                                                  #  LAMABORT DLOAD    ABS                   A MEASURE OF PROXIMITY TO 0 OR
050396,000270:                                                                                                  #                    1-CSTH                360 DEGREES.
050397,000271:                                                                                                  #           DSU      BMN
050398,000272:                                                                                                  #                    ONEBIT
050399,000273:                                                                                                  #                    CHANGER2              CHANGE R2VEC DIRECTION SLIGHTLY.
050400,000274:                                                                                                  #           DLOAD    DAD
050401,000275:                                                                                                  #                    TDESIRED
050402,000276:                                                                                                  #                    SOMETIME
050403,000277:                                                                                                  #           STCALL   TDESIRED              INCREASE TDESIRED
050404,000278:                                                                                                  #                    LAMBERT
050405,000279: 
050406,000280: 

Page 1156

050408,000282:                                                                                                  #  OUTPUT -
050409,000283:                                                                                                  #          * SCALE FACTOR *
050410,000284:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050411,000285:                                                                                                  #  --------*--------------*                         -----------------------
050412,000286:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
050413,000287:                                                                                                  #          * +5 FOR MOON  *PROBLEM.
050414,000288:                                                                                                  #  VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
050415,000289:                                                                                                  #          * +5 FOR MOON  *
050416,000290:                                                                                                  #  SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
050417,000291:                                                                                                  #          *              *SOLUTION EXISTS.
050418,000292:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050419,000293: 
050420,000294: 
050421,000295: 
050422,000296:                                                                                                  #  DEBRIS -
050423,000297:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050424,000298: 
050425,000299:                                                                                                  #          * SCALE FACTOR *
050426,000300:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050427,000301:                                                                                                  #  --------*--------------*                         -----------------------
050428,000302:                                                                                                  #  SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
050429,000303:                                                                                                  #  CSTH    * +1           *DP COSINE OF ANGLE
050430,000304:                                                                                                  #  1-CSTH  * +2           *DP 1-CSTH
050431,000305:                                                                                                  #  COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
050432,000306:                                                                                                  #  P       * +4           *DP RATIO  OF SEMILATUS RECTUM TO INITIAL RADIUS
050433,000307:                                                                                                  #  R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
050434,000308:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
050435,000309:                                                                                                  #          * +27 FOR MOON *
050436,000310:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF R1VEC
050437,000311:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF R2VEC
050438,000312: 
050439,000313:                                                                                                  #       PARAMETERS OF NO USE
050440,000314:                                                                                                  #  DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP),  PLUS PUSHLIST REGISTER 0 THROUGH 41D
050441,000315:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
050442,000316: 
050443,000317: 

Page 1157

050445,000319:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                                     DATE - 1 SEPTEMBER 1967
050446,000320:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050447,000321:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050448,000322: 
050449,000323: 
050450,000324: 
050451,000325:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050452,000326: 
050453,000327:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
050454,000328:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
050455,000329:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
050456,000330:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050457,000331:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050458,000332:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050459,000333: 
050460,000334: 
050461,000335:                                                                                                  #  THE RESTRICTIONS ARE -
050462,000336:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050463,000337:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
050464,000338:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050465,000339:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050466,000340: 
050467,000341:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
050468,000342: 
050469,000343: 
050470,000344: 
050471,000345:                                                                                                  #  REFERENCES -
050472,000346:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
050473,000347: 
050474,000348: 
050475,000349: 
050476,000350:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050477,000351: 
050478,000352:                                                                                                  #          * SCALE FACTOR *
050479,000353:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050480,000354:                                                                                                  #  --------*--------------*                         -----------------------
050481,000355:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050482,000356:                                                                                                  #          * +27 FOR MOON *
050483,000357:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050484,000358:                                                                                                  #          * +5 FOR MOON  *
050485,000359:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
050486,000360:                                                                                                  #  CSTH    * +1           *DP COSINE OF THE ANGLE
050487,000361:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
050488,000362:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
050489,000363:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050490,000364:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
050491,000365: 
050492,000366: 
050493,000367: 
050494,000368:                                                                                                  #  SUBROUTINES CALLED -

Page 1158

050496,000370:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
050497,000371: 
050498,000372: 
050499,000373: 
050500,000374:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050501,000375: 
050502,000376:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
050503,000377:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050504,000378:                                                                                                  #  L+1             RVSW
050505,000379:                                                                                                  #  L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
050506,000380:                                                                                                  #  L+3      ...                    CONTINUE
050507,000381: 
050508,000382: 
050509,000383:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
050510,000384:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050511,000385:                                                                                                  #  L+1             RVSW
050512,000386:                                                                                                  #  L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
050513,000387:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
050514,000388:                                                                                                  #  L+3      STOVL  NEWVVEC
050515,000389:                                                                                                  #  L+4      STADR
050516,000390:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050517,000391:                                                                                                  #  L+6      ...                            CONTINUE
050518,000392: 
050519,000393: 
050520,000394: 
050521,000395:                                                                                                  #  ABORT EXIT MODES -
050522,000396:                                                                                                  #           IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
050523,000397:                                                                                                  #           AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 AND 721).
050524,000398: 
050525,000399: 
050526,000400: 
050527,000401:                                                                                                  #  OUTPUT -
050528,000402:                                                                                                  #          * SCALE FACTOR *
050529,000403:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050530,000404:                                                                                                  #  --------*--------------*                         -----------------------
050531,000405:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
050532,000406:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
050533,000407:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050534,000408:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050535,000409:                                                                                                  #          *              *CLEAR IF NOT.
050536,000410: 
050537,000411:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
050538,000412: 
050539,000413:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050540,000414:                                                                                                  #   MPAC +5* +5 FOR MOON  *
050541,000415:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050542,000416:                                                                                                  #          * +27 FOR MOON *
050543,000417: 
050544,000418:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050545,000419: 
050546,000420: 

Page 1159

050548,000422:                                                                                                  #  DEBRIS -
050549,000423: 
050550,000424:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050551,000425: 
050552,000426:                                                                                                  #          * SCALE FACTOR *
050553,000427:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050554,000428:                                                                                                  #  --------*--------------*                         -----------------------
050555,000429:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050556,000430:                                                                                                  #          * +27 FOR MOON *
050557,000431:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050558,000432:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
050559,000433:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050560,000434:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
050561,000435:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
050562,000436:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
050563,000437: 
050564,000438: 
050565,000439:                                                                                                  #       PARAMETERS OF NO USE -
050566,000440:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050567,000441:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050568,000442: 
050569,000443: 

Page 1160

050571,000445:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE                            DATE - 11 OCTOBER 1967
050572,000446:                                                                                                  #  MOD NO. -1                                                                      LOG SECTION - CONIC SUBROUTINES
050573,000447:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050574,000448: 
050575,000449: 
050576,000450: 
050577,000451:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050578,000452: 
050579,000453:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
050580,000454:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
050581,000455:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
050582,000456:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050583,000457:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050584,000458:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050585,000459:                                                                                                  #       IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
050586,000460:                                                                                                  #  APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
050587,000461: 
050588,000462: 
050589,000463:                                                                                                  #  THE RESTRICTIONS ARE -
050590,000464:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050591,000465:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
050592,000466:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050593,000467:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050594,000468:                                                                                                  #       3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
050595,000469:                                                                                                  #  RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
050596,000470:                                                                                                  #  PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
050597,000471: 
050598,000472: 
050599,000473:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
050600,000474: 
050601,000475: 
050602,000476: 
050603,000477:                                                                                                  #  REFERENCES -
050604,000478:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
050605,000479: 
050606,000480: 
050607,000481: 
050608,000482:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050609,000483: 
050610,000484:                                                                                                  #          * SCALE FACTOR *
050611,000485:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050612,000486:                                                                                                  #  --------*--------------*                         -----------------------
050613,000487:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050614,000488:                                                                                                  #          * +27 FOR MOON *
050615,000489:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050616,000490:                                                                                                  #          * +5 FOR MOON  *
050617,000491:                                                                                                  #  RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
050618,000492:                                                                                                  #          * +27 FOR MOON *COMPUTED.
050619,000493:                                                                                                  #  SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
050620,000494:                                                                                                  #          *              *POSITIVE OR NEGATIVE, RESPECTIVELY.  THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1161

050622,000496:                                                                                                  #          *              *SINGLE-VALUED PROBLEM.
050623,000497:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050624,000498:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
050625,000499:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
050626,000500:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
050627,000501: 
050628,000502: 
050629,000503: 
050630,000504:                                                                                                  #  SUBROUTINES CALLED -
050631,000505:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
050632,000506: 
050633,000507: 
050634,000508: 
050635,000509:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050636,000510: 
050637,000511:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
050638,000512:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050639,000513:                                                                                                  #  L+1             RVSW
050640,000514:                                                                                                  #  L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
050641,000515:                                                                                                  #  L+3      ...                    CONTINUE
050642,000516: 
050643,000517: 
050644,000518:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
050645,000519:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050646,000520:                                                                                                  #  L+1             RVSW
050647,000521:                                                                                                  #  L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
050648,000522:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
050649,000523:                                                                                                  #  L+3      STOVL  NEWVVEC
050650,000524:                                                                                                  #  L+4      STADR
050651,000525:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050652,000526:                                                                                                  #  L+6      ...                            CONTINUE
050653,000527: 
050654,000528: 
050655,000529: 
050656,000530:                                                                                                  #  ABORT EXIT MODES -
050657,000531:                                                                                                  #           IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
050658,000532:                                                                                                  #           TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
050659,000533: 
050660,000534: 
050661,000535: 
050662,000536:                                                                                                  #  OUTPUT -
050663,000537:                                                                                                  #          * SCALE FACTOR *
050664,000538:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050665,000539:                                                                                                  #  --------*--------------*                         -----------------------
050666,000540:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
050667,000541:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
050668,000542:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050669,000543:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050670,000544:                                                                                                  #          *              *CLEAR IF NOT.
050671,000545:                                                                                                  #  APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1162

050673,000547:                                                                                                  #          *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
050674,000548:                                                                                                  #          *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
050675,000549:                                                                                                  #          *              *APOCENTER.
050676,000550:                                                                                                  #  SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
050677,000551:                                                                                                  #                         *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
050678,000552:                                                                                                  #                         *MINUS-18, THE SWITCH IS CLEAR.
050679,000553: 
050680,000554: 
050681,000555:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
050682,000556: 
050683,000557:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050684,000558:                                                                                                  #   MPAC +5* +5 FOR MOON  *
050685,000559:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050686,000560:                                                                                                  #          * +27 FOR MOON *
050687,000561: 
050688,000562:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050689,000563: 
050690,000564: 
050691,000565: 
050692,000566:                                                                                                  #  DEBRIS -
050693,000567: 
050694,000568:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050695,000569: 
050696,000570:                                                                                                  #          * SCALE FACTOR *
050697,000571:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050698,000572:                                                                                                  #  --------*--------------*                         -----------------------
050699,000573:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050700,000574:                                                                                                  #          * +27 FOR MOON *
050701,000575:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050702,000576:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
050703,000577:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050704,000578:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
050705,000579:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
050706,000580:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
050707,000581:                                                                                                  #  CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
050708,000582:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
050709,000583: 
050710,000584: 
050711,000585:                                                                                                  #       PARAMETERS OF NO USE -
050712,000586:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050713,000587:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050714,000588: 
050715,000589: 

Page 1163

050717,000591:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
050718,000592:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050719,000593:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050720,000594: 
050721,000595: 
050722,000596: 
050723,000597:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050724,000598: 
050725,000599:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
050726,000600:                                                                                                  #  ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
050727,000601:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050728,000602:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050729,000603:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050730,000604: 
050731,000605: 
050732,000606:                                                                                                  #  THE RESTRICTIONS ARE -
050733,000607:                                                                                                  #       1.  IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
050734,000608:                                                                                                  #  TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
050735,000609:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050736,000610:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050737,000611: 
050738,000612:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
050739,000613: 
050740,000614: 
050741,000615: 
050742,000616:                                                                                                  #  REFERENCES -
050743,000617:                                                                                                  #       MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
050744,000618: 
050745,000619: 
050746,000620: 
050747,000621:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050748,000622: 
050749,000623:                                                                                                  #          * SCALE FACTOR *
050750,000624:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050751,000625:                                                                                                  #  --------*--------------*                         -----------------------
050752,000626:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050753,000627:                                                                                                  #          * +27 FOR MOON *
050754,000628:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050755,000629:                                                                                                  #          * +5 FOR MOON  *
050756,000630:                                                                                                  #  X1 (38D)*NONE          *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050757,000631:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
050758,000632: 
050759,000633: 
050760,000634: 
050761,000635:                                                                                                  #  SUBROUTINES CALLED -
050762,000636:                                                                                                  #       PARAM, GEOM
050763,000637: 
050764,000638: 
050765,000639: 
050766,000640:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1164

050768,000642:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
050769,000643:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050770,000644:                                                                                                  #  L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
050771,000645:                                                                                                  #  L+2      STODL  APOAPSE
050772,000646:                                                                                                  #  L+3             0D
050773,000647:                                                                                                  #  L+4      STORE  PERIAPSE                APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
050774,000648:                                                                                                  #  L+5      ...                    CONTINUE
050775,000649: 
050776,000650: 
050777,000651: 
050778,000652:                                                                                                  #  OUTPUT -
050779,000653:                                                                                                  #          * SCALE FACTOR *
050780,000654:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050781,000655:                                                                                                  #  --------*--------------*                         -----------------------
050782,000656:                                                                                                  #  MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
050783,000657:                                                                                                  #          * +27 FOR MOON *
050784,000658:                                                                                                  #  0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
050785,000659:                                                                                                  #          * +27 FOR MOON *
050786,000660:                                                                                                  #  ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
050787,000661: 
050788,000662:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050789,000663: 
050790,000664: 
050791,000665: 
050792,000666:                                                                                                  #  DEBRIS -
050793,000667: 
050794,000668:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050795,000669: 
050796,000670:                                                                                                  #          * SCALE FACTOR *
050797,000671:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050798,000672:                                                                                                  #  --------*--------------*                         -----------------------
050799,000673:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050800,000674:                                                                                                  #          * +27 FOR MOON *
050801,000675:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050802,000676:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
050803,000677:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050804,000678:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
050805,000679:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
050806,000680:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
050807,000681:                                                                                                  #  MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
050808,000682:                                                                                                  #          * +5 FOR MOON  *
050809,000683: 
050810,000684: 
050811,000685:                                                                                                  #       PARAMETERS OF NO USE -
050812,000686:                                                                                                  #  SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5,10D-11D, 14D-21D, 31D-38D.
050813,000687:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
050814,000688: 
050815,000689: 
050816,000690: 
050817,000691: 12,2000                                           SETLOC   CONICS                                

Page 1165

050819,000693: 12,2000                                           BANK                                           
050820,000694: 
050821,000695: 12,2023                                           COUNT*   $$/CONIC                              
050822,000696: 12,2023  E5,1721                                  EBANK=   UR1                                   
050823,000697: 12,2023           40001        KEPLERN            SETPD    BOV                                   
050824,000698: 12,2024           00001                                    0                                     
050825,000699: 12,2025           24026                                    +1                                    
050826,000700: 12,2026           77773                           VLOAD*                                         
050827,000701: 12,2027           10005                                    MUTABLE,1                             
050828,000702: 12,2030           24017                           STOVL    14D                                   
050829,000703: 12,2031           01503                                    RRECT                                 
050830,000704: 12,2032           66256                           UNIT     SSP                                   
050831,000705: 12,2033           00027                                    ITERCTR                               
050832,000706: 12,2034           00024                                    20D                                   
050833,000707: 12,2035           16647                           STODL    URRECT                                
050834,000708: 12,2036           00045                                    36D                                   
050835,000709: 12,2037           24041                           STOVL    R1                                    
050836,000710: 12,2040           01503                                    RRECT                                 
050837,000711: 12,2041           76441                           DOT      SL1R                                  
050838,000712: 12,2042           01511                                    VRECT                                 
050839,000713: 12,2043           76405                           DMP      SL1R                                  
050840,000714: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
050841,000715: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
050842,000716: 
050843,000717: 12,2046           01511                                    VRECT                                 
050844,000718: 12,2047           57236                           VSQ      DMPR                                  
050845,000719: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
050846,000720: 12,2051           52405                           DMP      SL3                                   
050847,000721: 12,2052           00041                                    R1                                    
050848,000722: 12,2053           61425                           DSU      ROUND                                 
050849,000723: 12,2054           11007                                    D1/64                                 
050850,000724: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
050851,000725: 
050852,000726: 12,2056           74421                           BDSU     SR1R                                  
050853,000727: 12,2057           11007                                    D1/64                                 
050854,000728: 12,2060           77671                           DDV                                            
050855,000729: 12,2061           00041                                    R1                                    
050856,000730: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
050857,000731: 
050858,000732: 
050859,000733: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
050860,000734: 12,2064           24073                                    1REV                                  
050861,000735: 12,2065           11025                                    -50SC                                 #  -50SC (+12)
050862,000736: 12,2066           40071                           DDV      BOV                                   
050863,000737: 12,2067           00011                                    ALPHA                                 
050864,000738: 12,2070           24077                                    STOREMAX                              
050865,000739: 12,2071           52166                           SQRT     GOTO                                  
050866,000740: 12,2072           24077                                    STOREMAX                              
050867,000741: 
050868,000742: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1166

050870,000744: 12,2074           11027                                    2PISC                                 #  2PISC (+6)
050871,000745: 12,2075           77600                           BOV                                            
050872,000746: 12,2076           24077                                    STOREMAX                              
050873,000747: 12,2077           00013        STOREMAX           STORE    XMAX                                  
050874,000748: 12,2100           65205                           DMP      PDDL                                  
050875,000749: 12,2101           00023                                    1/ROOTMU                              
050876,000750: 12,2102           00011                                    ALPHA                                 
050877,000751: 12,2103           65301                           NORM     PDDL                                  
050878,000752: 12,2104           00047                                    X1                                    
050879,000753: 12,2105           56257                           SL*      DDV                                   
050880,000754: 12,2106           20173                                    0          -6,1                       
050881,000755: 12,2107           50000                           BOV      BMN                                   
050882,000756: 12,2110           24124                                    MODDONE                               
050883,000757: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
050884,000758: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
050885,000759: 12,2113           02074                                    TAU.                                  
050886,000760: 12,2114           50025                           DSU      BMN                                   
050887,000761: 12,2115           00001                                    0D                                    
050888,000762: 12,2116           24124                                    MODDONE                               
050889,000763: 12,2117           77765                           SIGN                                           
050890,000764: 12,2120           02074                                    TAU.                                  
050891,000765: 12,2121           16074                           STODL    TAU.                                  
050892,000766: 12,2122           77650                           GOTO                                           
050893,000767: 12,2123           24112                                    PERIODCH                              
050894,000768: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
050895,000769: 12,2125           00001                                    0                                     
050896,000770: 12,2126           02121                                    XKEPNEW                               
050897,000771: 12,2127           00025                           STORE    X                                     
050898,000772: 12,2130           53165                           SIGN     BZE                                   
050899,000773: 12,2131           02074                                    TAU.                                  
050900,000774: 12,2132           24302                                    BADX                                  
050901,000775: 12,2133           51440                           BMN      ABS                                   
050902,000776: 12,2134           24302                                    BADX                                  
050903,000777: 12,2135           51025                           DSU      BPL                                   
050904,000778: 12,2136           00013                                    XMAX                                  
050905,000779: 12,2137           24302                                    BADX                                  
050906,000780: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
050907,000781: 12,2141           02074                                    TAU.                                  
050908,000782: 12,2142           24152                                    STOREMIN                              
050909,000783: 12,2143           57545                           DLOAD    DCOMP                                 
050910,000784: 12,2144           00013                                    XMAX                                  
050911,000785: 12,2145           14015                           STODL    XMIN                                  
050912,000786: 12,2146           24007                                    KEPZERO                               
050913,000787: 12,2147           00013                           STORE    XMAX                                  
050914,000788: 12,2150           77650                           GOTO                                           
050915,000789: 12,2151           24155                                    DXCOMP                                
050916,000790: 12,2152           77745        STOREMIN           DLOAD                                          
050917,000791: 12,2153           24007                                    KEPZERO                               
050918,000792: 12,2154           00015                           STORE    XMIN                                  
050919,000793: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1167

050921,000795: 12,2156           02074                                    TAU.                                  
050922,000796: 12,2157           11020                                    BEE22                                 
050923,000797: 12,2160           77646                           ABS                                            
050924,000798: 12,2161           16170                           STODL    EPSILONT                              
050925,000799: 12,2162           01553                                    XPREV                                 
050926,000800: 12,2163           77621        XDIFF              BDSU                                           
050927,000801: 12,2164           00025                                    X                                     
050928,000802: 12,2165           02643                           STORE    DELX                                  
050929,000803: 
050930,000804: 
050931,000805: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
050932,000806: 12,2167           00025                                    X                                     #  X=XKEP
050933,000807: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
050934,000808: 12,2171           00047                                    X1                                    
050935,000809: 12,2172           53605                           DMP      SRR*                                  
050936,000810: 12,2173           00011                                    ALPHA                                 
050937,000811: 12,2174           21573                                    0          -6,1                       
050938,000812: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
050939,000813: 12,2176           24421                                    DELTIME                               
050940,000814: 12,2177           44200                           BOV      BDSU                                  
050941,000815: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
050942,000816: 12,2201           02074                                    TAU.                                  
050943,000817: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
050944,000818: 12,2203           44246                           ABS      BDSU                                  
050945,000819: 12,2204           02170                                    EPSILONT                              
050946,000820: 12,2205           71244                           BPL      DLOAD                                 
050947,000821: 12,2206           24333                                    KEPCONVG                              
050948,000822: 12,2207           00037                                    T                                     
050949,000823: 12,2210           60225                           DSU      NORM                                  
050950,000824: 12,2211           01551                                    TC                                    
050951,000825: 12,2212           00047                                    X1                                    
050952,000826: 12,2213           60325                           PDDL     NORM                                  
050953,000827: 12,2214           02643                                    DELX                                  
050954,000828: 12,2215           00050                                    X2                                    
050955,000829: 12,2216           41260                           XSU,1    DMP                                   
050956,000830: 12,2217           00047                                    X2                                    
050957,000831: 12,2220           02645                                    DELT                                  
050958,000832: 12,2221           56257                           SLR*     DDV                                   
050959,000833: 12,2222           21202                                    1,1                                   
050960,000834: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX                PL AT 2
050961,000835: 12,2224           71244                           BPL      DLOAD                                 
050962,000836: 12,2225           24246                                    POSDELX                               
050963,000837: 12,2226           00025                                    X                                     
050964,000838: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
050965,000839: 12,2230           45221                           BDSU     DSU                                   #                               PL AT 0
050966,000840: 12,2231           00015                                    XMIN                                  
050967,000841: 12,2232           51000                           BOV      BPL                                   
050968,000842: 12,2233           24240                                    NDXCHNGE                              
050969,000843: 12,2234           24240                                    NDXCHNGE                              
050970,000844: 12,2235           52145                           DLOAD    GOTO                                  

Page 1168

050972,000846: 12,2236           00001                                    0D                                    
050973,000847: 12,2237           24260                                    NEWDELX                               
050974,000848: 
050975,000849: 
050976,000850: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
050977,000851: 12,2241           00015                                    XMIN                                  
050978,000852: 12,2242           00025                                    X                                     
050979,000853: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050980,000854: 12,2244           11023                                    DP9/10                                
050981,000855: 12,2245           24260                                    NEWDELX                               
050982,000856: 
050983,000857: 
050984,000858: 12,2246           77745        POSDELX            DLOAD                                          
050985,000859: 12,2247           00025                                    X                                     
050986,000860: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
050987,000861: 12,2251           45221                           BDSU     DSU                                   #                               PL AT 0
050988,000862: 12,2252           00013                                    XMAX                                  
050989,000863: 12,2253           50000                           BOV      BMN                                   
050990,000864: 12,2254           24274                                    PDXCHNGE                              
050991,000865: 12,2255           24274                                    PDXCHNGE                              
050992,000866: 12,2256           77745                           DLOAD                                          
050993,000867: 12,2257           00001                                    0D                                    
050994,000868: 12,2260           02643        NEWDELX            STORE    DELX                                  
050995,000869: 12,2261           43254                           BZE      DAD                                   
050996,000870: 12,2262           24333                                    KEPCONVG                              
050997,000871: 12,2263           00025                                    X                                     
050998,000872: 12,2264           14025                           STODL    X                                     
050999,000873: 12,2265           00037                                    T                                     
051000,000874: 12,2266           01551                           STORE    TC                                    
051001,000875: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
051002,000876: 12,2270           24644                                    CHECKCTR                              
051003,000877: 12,2271           24333                                    KEPCONVG                              
051004,000878: 12,2272           77650                           GOTO                                           
051005,000879: 12,2273           24166                                    KEPLOOP                               #  ITERATE
051006,000880: 
051007,000881: 
051008,000882: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
051009,000883: 12,2275           00013                                    XMAX                                  
051010,000884: 12,2276           00025                                    X                                     
051011,000885: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
051012,000886: 12,2300           11023                                    DP9/10                                
051013,000887: 12,2301           24260                                    NEWDELX                               
051014,000888: 
051015,000889: 
051016,000890: 12,2302           70545        BADX               DLOAD    SR1                                   
051017,000891: 12,2303           00013                                    XMAX                                  
051018,000892: 12,2304           77765                           SIGN                                           
051019,000893: 12,2305           02074                                    TAU.                                  
051020,000894: 12,2306           00025                           STORE    X                                     
051021,000895: 12,2307           77650                           GOTO                                           

Page 1169

051023,000897: 12,2310           24140                                    STORBNDS                              
051024,000898: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
051025,000899: 12,2312           00025                                    X                                     
051026,000900: 12,2313           24330                                    NEGTOVFL                              
051027,000901: 12,2314           00013                           STORE    XMAX                                  
051028,000902: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
051029,000903: 12,2316           02643                                    DELX                                  
051030,000904: 12,2317           02643                           STORE    DELX                                  
051031,000905: 12,2320           44254                           BZE      BDSU                                  
051032,000906: 12,2321           02111                                    KEPRTN                                
051033,000907: 12,2322           00025                                    X                                     
051034,000908: 12,2323           14025                           STODL    X                                     
051035,000909: 12,2324           01551                                    TC                                    
051036,000910: 12,2325           00037                           STORE    T                                     
051037,000911: 12,2326           77650                           GOTO                                           
051038,000912: 12,2327           24267                                    BRNCHCTR                              
051039,000913: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
051040,000914: 12,2331           77650                           GOTO                                           
051041,000915: 12,2332           24315                                    CMNTOVFL                              
051042,000916: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
051043,000917: 12,2334           00041                                    R1                                    
051044,000918: 12,2335           74225                           DSU      VXSC                                  
051045,000919: 12,2336           00035                                    XSQC(XI)                              
051046,000920: 12,2337           02647                                    URRECT                                
051047,000921: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
051048,000922: 12,2341           00025                                    X                                     
051049,000923: 12,2342           60316                           DSQ      NORM                                  
051050,000924: 12,2343           00047                                    X1                                    
051051,000925: 12,2344           57275                           DMPR     DMPR                                  
051052,000926: 12,2345           00023                                    1/ROOTMU                              
051053,000927: 12,2346           00025                                    X                                     
051054,000928: 12,2347           53605                           DMP      SRR*                                  
051055,000929: 12,2350           00033                                    S(XI)                                 
051056,000930: 12,2351           21572                                    0          -7,1                       
051057,000931: 12,2352           77621                           BDSU                                           
051058,000932: 12,2353           00037                                    T                                     
051059,000933: 12,2354           74352                           SL1      VXSC                                  
051060,000934: 12,2355           01511                                    VRECT                                 
051061,000935: 12,2356           53372                           VSL1     VAD                                   #                               PL AT 0
051062,000936: 12,2357           77712                           VSL4                                           
051063,000937: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
051064,000938: 
051065,000939: 
051066,000940: 12,2361           60246                           ABVAL    NORM                                  
051067,000941: 12,2362           00050                                    X2                                    
051068,000942: 12,2363           14043                           STODL    RCNORM                                
051069,000943: 12,2364           00031                                    XI                                    
051070,000944: 12,2365           45275                           DMPR     DSU                                   
051071,000945: 12,2366           00033                                    S(XI)                                 
051072,000946: 12,2367           11005                                    D1/128                                

Page 1170

051074,000948: 12,2370           76405                           DMP      SL1R                                  
051075,000949: 12,2371           00021                                    ROOTMU                                
051076,000950: 12,2372           53605                           DMP      SLR*                                  
051077,000951: 12,2373           00025                                    X                                     
051078,000952: 12,2374           56601                                    0          -3,2                       
051079,000953: 12,2375           74271                           DDV      VXSC                                  
051080,000954: 12,2376           00043                                    RCNORM                                
051081,000955: 12,2377           02647                                    URRECT                                
051082,000956: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
051083,000957: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                        PL AT 6
051084,000958: 12,2402           56257                           SLR*     DDV                                   
051085,000959: 12,2403           56602                                    0          -4,2                       
051086,000960: 12,2404           00043                                    RCNORM                                
051087,000961: 12,2405           74221                           BDSU     VXSC                                  
051088,000962: 12,2406           11021                                    D1/256                                
051089,000963: 12,2407           01511                                    VRECT                                 
051090,000964: 12,2410           42455                           VAD      VSL8                                  #                               PL AT 0
051091,000965: 12,2411           77626                           STADR                                          
051092,000966: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
051093,000967: 12,2413           00037                                    T                                     
051094,000968: 12,2414           15551                           STODL    TC                                    
051095,000969: 12,2415           00025                                    X                                     
051096,000970: 12,2416           01553                           STORE    XPREV                                 
051097,000971: 12,2417           77650                           GOTO                                           
051098,000972: 12,2420           02111                                    KEPRTN                                
051099,000973: 

Page 1171

051101,000975: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
051102,000976: 12,2422           07234                           TC       POLY                                  
051103,000977: 12,2423           00010                           DEC      8          B-14                       
051104,000978: 12,2424           02525 12526                     2DEC     .083333334                            
051105,000979: 
051106,000980: 12,2426           67356 75666                     2DEC     -.266666684                            
051107,000981: 
051108,000982: 12,2430           15001 23771                     2DEC     .406349155                            
051109,000983: 
051110,000984: 12,2432           64342 43674                     2DEC     -.361198675                            
051111,000985: 
051112,000986: 12,2434           06563 04645                     2DEC     .210153242                            
051113,000987: 
051114,000988: 12,2436           75173 52672                     2DEC     -.086221951                            
051115,000989: 
051116,000990: 12,2440           00656 14331                     2DEC     .026268812                            
051117,000991: 
051118,000992: 12,2442           77633 40512                     2DEC     -.006163316                            
051119,000993: 
051120,000994: 12,2444           00023 11210                     2DEC     .001177342                            
051121,000995: 
051122,000996: 12,2446           77774 67506                     2DEC     -.000199055                            
051123,000997: 
051124,000998: 12,2450           06051                           TC       INTPRET                               
051125,000999: 12,2451           14033                           STODL    S(XI)                                 
051126,001000: 12,2452           00031                                    XI                                    
051127,001001: 12,2453           77776                           EXIT                                           
051128,001002: 12,2454           07234                           TC       POLY                                  
051129,001003: 12,2455           00010                           DEC      8          B-14                       
051130,001004: 12,2456           01000 00000                     2DEC     .031250001                            
051131,001005: 
051132,001006: 12,2460           72525 52506                     2DEC     -.166666719                            
051133,001007: 
051134,001008: 12,2462           13301 15337                     2DEC     .355555413                            
051135,001009: 
051136,001010: 12,2464           62776 54733                     2DEC     -.406347410                            
051137,001011: 
051138,001012: 12,2466           11176 13267                     2DEC     .288962094                            
051139,001013: 
051140,001014: 12,2470           73410 51674                     2DEC     -.140117894                            
051141,001015: 
051142,001016: 12,2472           01446 33641                     2DEC     .049247387                            
051143,001017: 
051144,001018: 12,2474           77451 65233                     2DEC     -.013081923                            
051145,001019: 
051146,001020: 12,2476           00055 37266                     2DEC     .002806389                            
051147,001021: 
051148,001022: 12,2500           77767 52336                     2DEC     -.000529414                            
051149,001023: 
051150,001024: 12,2502           06051                           TC       INTPRET                               

Page 1172

051152,001026: 12,2503           53605                           DMP      SRR*                                  #                               PL AT 0
051153,001027: 12,2504           00001                                    0D                                    
051154,001028: 12,2505           21574                                    0          -5,1                       
051155,001029: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
051156,001030: 12,2507           72405                           DMP      SL1                                   
051157,001031: 12,2510           00043                                    KEPC1                                 
051158,001032: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
051159,001033: 12,2512           21615                                    TPMODE                                #                               PL AT 0,3
051160,001034: 12,2513           53605                           DMP      SRR*                                  
051161,001035: 12,2514           00033                                    S(XI)                                 
051162,001036: 12,2515           21574                                    0          -5,1                       
051163,001037: 12,2516           72405                           DMP      SL1                                   
051164,001038: 12,2517           00045                                    KEPC2                                 
051165,001039: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
051166,001040: 12,2521           21615                                    TPMODE                                
051167,001041: 12,2522           00041                                    R1                                    
051168,001042: 12,2523           76261                           SR       TAD                                   #                               PL AT 3
051169,001043: 12,2524           20607                                    6                                     
051170,001044: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
051171,001045: 12,2526           00047                                    X1                                    
051172,001046: 12,2527           00025                                    X                                     
051173,001047: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46) PL AT 0
051174,001048: 12,2531           20576                                    0          -3,1                       
051175,001049: 12,2532           57232                           SL4R     DMPR                                  
051176,001050: 12,2533           00023                                    1/ROOTMU                              
051177,001051: 12,2534           00037                           STORE    T                                     
051178,001052: 12,2535           77616                           RVQ                                            
051179,001053: 

Page 1173

051181,001055: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
051182,001056: 12,2537           00614                                    SLOPESW                               
051183,001057: 12,2540           24606                                    FIRSTIME                              
051184,001058: 12,2541           00037                                    DEP                                   
051185,001059: 12,2542           60225                           DSU      NORM                                  
051186,001060: 12,2543           02762                                    DEPREV                                
051187,001061: 12,2544           00047                                    X1                                    
051188,001062: 12,2545           60325                           PDDL     NORM                                  
051189,001063: 12,2546           00015                                    DELINDEP                              
051190,001064: 12,2547           00050                                    X2                                    
051191,001065: 12,2550           41260                           XSU,1    DMP                                   
051192,001066: 12,2551           00047                                    X2                                    
051193,001067: 12,2552           02760                                    DELDEP                                
051194,001068: 12,2553           56257                           SLR*     DDV                                   #                               PL UP 2
051195,001069: 12,2554           21202                                    1,1                                   
051196,001070: 12,2555           43142                           SR1      BOFF                                  
051197,001071: 12,2556           04351                                    ORDERSW                               
051198,001072: 12,2557           24562                                    SGNCHECK                              
051199,001073: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
051200,001074: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
051201,001075: 
051202,001076: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP               PL DOWN 2
051203,001077: 12,2563           24620                                    POSDEL                                
051204,001078: 12,2564           43145                           DLOAD    BON                                   
051205,001079: 12,2565           02766                                    INDEP                                 
051206,001080: 12,2566           04311                                    ORDERSW                               
051207,001081: 12,2567           24571                                    MINCHECK                              
051208,001082: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
051209,001083: 
051210,001084: 12,2571           45221        MINCHECK           BDSU     DSU                                   
051211,001085: 12,2572           00011                                    MIN                                   
051212,001086: 12,2573           51000                           BOV      BPL                                   
051213,001087: 12,2574           24600                                    MODNGDEL                              
051214,001088: 12,2575           24600                                    MODNGDEL                              
051215,001089: 12,2576           77650                           GOTO                                           
051216,001090: 12,2577           24632                                    DELOK                                 
051217,001091: 
051218,001092: 
051219,001093: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
051220,001094: 12,2601           00011                                    MIN                                   
051221,001095: 12,2602           02766                                    INDEP                                 
051222,001096: 12,2603           52005                           DMP      GOTO                                  
051223,001097: 12,2604           11023                                    DP9/10                                
051224,001098: 12,2605           24634                                    NEWDEL                                
051225,001099: 
051226,001100: 
051227,001101: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
051228,001102: 12,2607           00011                                    MIN                                   
051229,001103: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
051230,001104: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1174

051232,001106: 12,2612           00017                                    MAX                                   
051233,001107: 12,2613           00051                                    TWEEKIT                               
051234,001108: 12,2614           77625                           DSU                                            
051235,001109: 12,2615           52165                           SIGN     GOTO                                  
051236,001110: 12,2616           02760                                    DELDEP                                
051237,001111: 12,2617           24562                                    SGNCHECK                              
051238,001112: 
051239,001113: 
051240,001114: 12,2620           43145        POSDEL             DLOAD    BON                                   
051241,001115: 12,2621           02766                                    INDEP                                 
051242,001116: 12,2622           04311                                    ORDERSW                               
051243,001117: 12,2623           24625                                    MAXCHECK                              
051244,001118: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
051245,001119: 
051246,001120: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
051247,001121: 12,2626           00017                                    MAX                                   
051248,001122: 12,2627           50000                           BOV      BMN                                   
051249,001123: 12,2630           24636                                    MODPSDEL                              
051250,001124: 12,2631           24636                                    MODPSDEL                              
051251,001125: 12,2632           77745        DELOK              DLOAD                                          
051252,001126: 12,2633           00001                                    0D                                    
051253,001127: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
051254,001128: 12,2635           77616                           RVQ                                            
051255,001129: 
051256,001130: 
051257,001131: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
051258,001132: 12,2637           00017                                    MAX                                   
051259,001133: 12,2640           02766                                    INDEP                                 
051260,001134: 12,2641           52005                           DMP      GOTO                                  
051261,001135: 12,2642           11023                                    DP9/10                                
051262,001136: 12,2643           24634                                    NEWDEL                                
051263,001137: 
051264,001138: 
051265,001139: 12,2644           44753        CHECKCTR           CS       ONE                                   
051266,001140: 12,2645           50120                           INDEX    FIXLOC                                
051267,001141: 12,2646           60026                           AD       ITERCTR                               
051268,001142: 12,2647           50120                           INDEX    FIXLOC                                
051269,001143: 12,2650           54026                           TS       ITERCTR                               
051270,001144: 12,2651           54154                           TS       MPAC                                  
051271,001145: 12,2652           06073                           TC       DANZIG                                
051272,001146: 

Page 1175

051274,001148: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
051275,001149: 12,2654           00041                                    R1                                    
051276,001150: 12,2655           74225                           DSU      VXSC                                  
051277,001151: 12,2656           00035                                    XSQC(XI)                              
051278,001152: 12,2657           02722                                    UR1                                   
051279,001153: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
051280,001154: 12,2661           00025                                    X                                     
051281,001155: 12,2662           60316                           DSQ      NORM                                  
051282,001156: 12,2663           00047                                    X1                                    
051283,001157: 12,2664           57275                           DMPR     DMPR                                  
051284,001158: 12,2665           00023                                    1/ROOTMU                              
051285,001159: 12,2666           00025                                    X                                     
051286,001160: 12,2667           53605                           DMP      SRR*                                  
051287,001161: 12,2670           00033                                    S(XI)                                 
051288,001162: 12,2671           21572                                    0          -7,1                       
051289,001163: 12,2672           77621                           BDSU                                           
051290,001164: 12,2673           00037                                    T                                     
051291,001165: 12,2674           74352                           SL1      VXSC                                  
051292,001166: 12,2675           02744                                    VVEC                                  
051293,001167: 12,2676           53372                           VSL1     VAD                                   #                               PL AT 0
051294,001168: 12,2677           41512                           VSL4     PUSH                                  
051295,001169: 12,2700           77646                           ABVAL                                          
051296,001170: 12,2701           77701        LAMENTER           NORM                                           
051297,001171: 12,2702           00047                                    X1                                    
051298,001172: 12,2703           16720                           STODL    R2                                    
051299,001173: 12,2704           00031                                    XI                                    
051300,001174: 12,2705           45205                           DMP      DSU                                   
051301,001175: 12,2706           00033                                    S(XI)                                 
051302,001176: 12,2707           11005                                    D1/128                                
051303,001177: 12,2710           76405                           DMP      SL1R                                  
051304,001178: 12,2711           00021                                    ROOTMU                                
051305,001179: 12,2712           53605                           DMP      SLR*                                  
051306,001180: 12,2713           00025                                    X                                     
051307,001181: 12,2714           21176                                    0          -3,1                       
051308,001182: 12,2715           74271                           DDV      VXSC                                  
051309,001183: 12,2716           02720                                    R2                                    
051310,001184: 12,2717           02722                                    UR1                                   
051311,001185: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)       PL AT 12
051312,001186: 12,2721           00035                                    XSQC(XI)                              
051313,001187: 12,2722           56257                           SLR*     DDV                                   
051314,001188: 12,2723           21175                                    0          -4,1                       
051315,001189: 12,2724           02720                                    R2                                    
051316,001190: 12,2725           77621                           BDSU                                           
051317,001191: 12,2726           11021                                    D1/256                                
051318,001192: 12,2727           53361                           VXSC     VAD                                   
051319,001193: 12,2730           02744                                    VVEC                                  #                               PL AT 6
051320,001194: 12,2731           43412                           VSL8     RVQ                                   
051321,001195: 

Page 1176

051323,001197: 04,2000                                           SETLOC   CONICS1                               
051324,001198: 04,2000                                           BANK                                           
051325,001199: 
051326,001200: 04,3001                                           COUNT*   $$/CONIC                              
051327,001201:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
051328,001202: 04,3001           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
051329,001203: 04,3002           04000 00000  D1/8               2DEC     1.0        B-3                        
051330,001204: 
051331,001205: 04,3004           00200 00000  D1/128             2DEC     1.0        B-7                        
051332,001206: 
051333,001207: 04,3006           00400 00000  D1/64              2DEC     1.0        B-6                        
051334,001208: 
051335,001209: 04,3010           10000 00000  D1/4               2DEC     1.0        B-2                        
051336,001210: 
051337,001211: 04,3012           02000 00000  D1/16              2DEC     1.0        B-4                        
051338,001212: 
051339,001213: 04,3014           01000 00000  D1/32              2DEC     1.0        B-5                        
051340,001214: 
051341,001215: 04,3016           00020 00000  D1/1024            2DEC     1.0        B-10                       
051342,001216: 
051343,001217: 04,3020           00100 00000  D1/256             2DEC     1.0        B-8                        
051344,001218: 
051345,001219: 04,3022           34631 23146  DP9/10             2DEC     .9                                    
051346,001220: 
051347,001221: 04,3024  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
051348,001222: 04,3024           77467 77777  -50SC              2DEC     -50.0      B-12                       
051349,001223: 
051350,001224: 04,3026           03110 17665  2PISC              2DEC     6.28318530 B-6                        
051351,001225: 
051352,001226: 04,3030  04,3013               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
051353,001227: 04,3030  04,3017               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
051354,001228: 04,3030           00000 00001  ONEBIT             2DEC     1.0        B-28                       
051355,001229: 
051356,001230: 04,3032           37767 37737  COGUPLIM           2DEC     .999511597                            
051357,001231: 
051358,001232: 04,3034           40010 40040  COGLOLIM           2DEC     -.999511597                            
051359,001233: 
051360,001234: 

Page 1177

051362,001236: 12,2000                                           SETLOC   CONICS                                
051363,001237: 12,2000                                           BANK                                           
051364,001238: 
051365,001239: 12,2732                                           COUNT*   $$/CONIC                              
051366,001240: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                               PL AT 0
051367,001241: 12,2733           02710                                    RTNTT                                 
051368,001242: 12,2734           00001                                    0                                     
051369,001243: 12,2735           77600                           BOV                                            
051370,001244: 12,2736           24737                                    +1                                    
051371,001245: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL         PL AT 6
051372,001246: 12,2740           02655                                    RVEC                                  
051373,001247: 12,2741           02744                                    VVEC                                  
051374,001248: 12,2742           77624                           CALL                                           
051375,001249: 12,2743           11036                                    PARAM                                 
051376,001250: 12,2744           45000                           BOV      CALL                                  #                               PL AT 0
051377,001251: 12,2745           24764                                    COGAOVFL                              
051378,001252: 12,2746           24767                                    GETX                                  
051379,001253: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
051380,001254: 12,2750           00031                                    XI                                    
051381,001255: 12,2751           04310                                    INFINFLG                              
051382,001256: 12,2752           25752                                    ABTCONIC                              
051383,001257: 12,2753           45014                           CLEAR    CALL                                  
051384,001258: 12,2754           04273                                    COGAFLAG                              
051385,001259: 12,2755           24421                                    DELTIME                               
051386,001260: 12,2756           45014                           BON      CALL                                  
051387,001261: 12,2757           03706                                    RVSW                                  
051388,001262: 12,2760           02710                                    RTNTT                                 
051389,001263: 12,2761           24653                                    NEWSTATE                              
051390,001264: 12,2762           77650                           GOTO                                           
051391,001265: 12,2763           02710                                    RTNTT                                 
051392,001266: 
051393,001267: 
051394,001268: 12,2764           77614        COGAOVFL           SETGO                                          
051395,001269: 12,2765           04033                                    COGAFLAG                              
051396,001270: 12,2766           25752                                    ABTCONIC                              
051397,001271: 04,3036                                           BANK     4                                     
051398,001272: 04,2000                                           SETLOC   CONICS1                               
051399,001273: 04,2000                                           BANK                                           
051400,001274: 04,3036                                           COUNT*   $$/CONIC                              
051401,001275: 04,3036           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC         PL AT 6
051402,001276: 04,3037           02753                                    RTNPRM                                
051403,001277: 04,3040           03665                                    NORMSW                                
051404,001278: 04,3041           77614                           CLEAR                                          
051405,001279: 04,3042           04273                                    COGAFLAG                              
051406,001280: 04,3043           45131                           SSP      CALL                                  
051407,001281: 04,3044           02673                                    GEOMSGN                               
051408,001282: 04,3045           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
051409,001283: 04,3046           11102                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1) PL AT 2
051410,001284: 04,3047           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)           PL AT 0
051411,001285: 04,3050           56261                           SR       DDV                                   

Page 1178

051413,001287: 04,3051           20606                                    5                                     
051414,001288: 
051415,001289: 04,3052           00045                                    36D                                   
051416,001290: 04,3053           32766                           STOVL*   COGA                                  
051417,001291: 04,3054           10005                                    MUTABLE,1                             
051418,001292: 04,3055           14017                           STODL    1/MU                                  
051419,001293: 04,3056           02720                                    MAGVEC2                               
051420,001294: 04,3057           60316                           DSQ      NORM                                  
051421,001295: 04,3060           00047                                    X1                                    
051422,001296: 04,3061           41275                           DMPR     DMP                                   
051423,001297: 04,3062           00017                                    1/MU                                  
051424,001298: 04,3063           00041                                    R1                                    
051425,001299: 04,3064           77657                           SRR*                                           
051426,001300: 04,3065           21576                                    0          -3,1                       
051427,001301: 04,3066           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)           PL AT 2
051428,001302: 04,3067           11015                                    D1/32                                 
051429,001303: 04,3070           16742                           STODL    R1A                                   #  R1A (+6)                     PL AT 0
051430,001304: 
051431,001305: 04,3071           60205                           DMP      NORM                                  
051432,001306: 04,3072           00045                                    36D                                   
051433,001307: 04,3073           00047                                    X1                                    
051434,001308: 04,3074           53605                           DMP      SR*                                   
051435,001309: 04,3075           00045                                    36D                                   
051436,001310: 04,3076           20575                                    0          -4,1                       
051437,001311: 04,3077           02740                           STORE    P                                     #  P (+4)
051438,001312: 04,3100           77650                           GOTO                                           
051439,001313: 04,3101           02753                                    RTNPRM                                
051440,001314: 

Page 1179

051442,001316: 04,3102           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC         PL AT 6
051443,001317: 04,3103           16712                           STODL    U2                                    #  U2 (+1)
051444,001318: 04,3104           00045                                    36D                                   
051445,001319: 04,3105           26720                           STOVL    MAGVEC2                               #                               PL AT 0
051446,001320: 04,3106           77656                           UNIT                                           
051447,001321: 04,3107           02722                           STORE    UR1                                   #  UR1 (+1)
051448,001322: 04,3110           72441                           DOT      SL1                                   
051449,001323: 04,3111           02712                                    U2                                    
051450,001324: 04,3112           77725                           PDDL                                           #  OD=CSTH (+1)                 PL AT 2
051451,001325: 04,3113           00045                                    36D                                   
051452,001326: 04,3114           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
051453,001327: 04,3115           02722                                    UR1                                   
051454,001328: 04,3116           76435                           VXV      VSL1                                  
051455,001329: 04,3117           02712                                    U2                                    
051456,001330: 04,3120           75214                           BON      SIGN                                  
051457,001331: 04,3121           03705                                    NORMSW                                
051458,001332: 04,3122           11134                                    HAVENORM                              
051459,001333: 04,3123           02673                                    GEOMSGN                               
051460,001334: 04,3124           40056                           UNIT     BOV                                   
051461,001335: 04,3125           11132                                    COLINEAR                              
051462,001336: 04,3126           16674        UNITNORM           STODL    UN                                    #  UN (+1)
051463,001337: 04,3127           00045                                    36D                                   
051464,001338: 04,3130           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
051465,001339: 04,3131           02673                                    GEOMSGN                               
051466,001340: 
051467,001341: 
051468,001342: 04,3132           52162        COLINEAR           VSR1     GOTO                                  
051469,001343: 04,3133           11126                                    UNITNORM                              
051470,001344: 
051471,001345: 
051472,001346: 04,3134           75246        HAVENORM           ABVAL    SIGN                                  
051473,001347: 04,3135           02673                                    GEOMSGN                               
051474,001348: 04,3136           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
051475,001349: 

Page 1180

051477,001351: 12,2767                                           BANK     12                                    
051478,001352: 12,2000                                           SETLOC   CONICS                                
051479,001353: 12,2000                                           BANK                                           
051480,001354: 
051481,001355: 12,2767                                           COUNT*   $$/CONIC                              
051482,001356: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
051483,001357: 12,2770           00003                                    3                                     
051484,001358: 12,2771           00052                                    S2                                    
051485,001359: 12,2772           00001                                    1                                     
051486,001360: 12,2773           77614                           CLEAR                                          
051487,001361: 12,2774           04276                                    360SW                                 
051488,001362: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                       PL AT 2
051489,001363: 12,2776           02732                                    CSTH                                  
051490,001364: 12,2777           44342                           SR1      BDSU                                  
051491,001365: 12,3000           11011                                    D1/4                                  
051492,001366: 12,3001           54325                           PDDL     SRR                                   #                               PL AT 4D
051493,001367: 12,3002           02730                                    SNTH                                  
051494,001368: 12,3003           21607                                    6                                     
051495,001369: 12,3004           77671                           DDV                                            #                               PL AT 2
051496,001370: 12,3005           77600                           BOV                                            
051497,001371: 12,3006           25122                                    360CHECK                              
051498,001372: 12,3007           41225                           DSU      DMP                                   
051499,001373: 12,3010           02766                                    COGA                                  #                                   PL AT 0
051500,001374: 12,3011           40132                           SL2R     BOV                                   
051501,001375: 12,3012           25122                                    360CHECK                              
051502,001376: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                        PL AT 2
051503,001377: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                     PL AT 5
051504,001378: 12,3015           00155                                    MPAC                                  
051505,001379: 12,3016           02742                                    R1A                                   
051506,001380: 12,3017           76202                           SR4      TAD                                   #                               PL AT 2
051507,001381: 12,3020           75440                           BMN      SQRT                                  
051508,001382: 12,3021           25205                                    INFINITY                              
051509,001383: 12,3022           43306                           ROUND    DAD                                   #                               PL AT 0D
051510,001384: 12,3023           61000                           BOV      TIX,2                                 
051511,001385: 12,3024           25120                                    RESETX2                               
051512,001386: 12,3025           25013                                    WLOOP                                 
051513,001387: 
051514,001388: 
051515,001389: 12,3026           40065                           BDDV     BOV                                   
051516,001390: 12,3027           11005                                    D1/128                                
051517,001391: 12,3030           25205                                    INFINITY                              
051518,001392: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)     PL AT 2
051519,001393: 12,3032           25205                                    INFINITY                              
051520,001394: 12,3033           77716                           DSQ                                            
051521,001395: 12,3034           41301                           NORM     DMP                                   
051522,001396: 12,3035           00047                                    X1                                    
051523,001397: 12,3036           02742                                    R1A                                   
051524,001398: 12,3037           77457                           SRR*     EXIT                                  
051525,001399: 12,3040           21567                                    0          -10D,1                     
051526,001400: 12,3041           07234                           TC       POLY                                  

Page 1181

051528,001402: 12,3042           00005                           DEC      5          B-14                       
051529,001403: 12,3043           20000 00000                     2DEC     .5                                    
051530,001404: 
051531,001405: 12,3045           72525 52471                     2DEC     -.166666770                            
051532,001406: 
051533,001407: 12,3047           03146 15003                     2DEC     .100000392                            
051534,001408: 
051535,001409: 12,3051           75556 45210                     2DEC     -.071401086                            
051536,001410: 
051537,001411: 12,3053           01615 13553                     2DEC     .055503292                            
051538,001412: 
051539,001413: 12,3055           76371 63777                     2DEC     -.047264098                            
051540,001414: 
051541,001415: 12,3057           01232 27367                     2DEC     .040694204                            
051542,001416: 
051543,001417: 12,3061           06051                           TC       INTPRET                               
051544,001418: 12,3062           76405                           DMP      SL1R                                  #                               PL AT 0D
051545,001419: 12,3063           43006                           PUSH     BON                                   
051546,001420: 12,3064           04316                                    360SW                                 
051547,001421: 12,3065           25172                                    TRUE360X                              
051548,001422: 12,3066           60316        XCOMMON            DSQ      NORM                                  
051549,001423: 12,3067           00047                                    X1                                    
051550,001424: 12,3070           53605                           DMP      SRR*                                  
051551,001425: 12,3071           02742                                    R1A                                   
051552,001426: 12,3072           21565                                    0          -12D,1                     
051553,001427: 12,3073           14031                           STODL    XI                                    #  XI (+6)
051554,001428: 
051555,001429: 
051556,001430: 12,3074           00041                                    R1                                    
051557,001431: 12,3075           75542                           SR1      SQRT                                  
051558,001432: 12,3076           41306                           ROUND    DMP                                   
051559,001433: 12,3077           77632                           SL4R                                           #                               PL AT 0
051560,001434: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
051561,001435: 
051562,001436: 
051563,001437: 
051564,001438: 12,3101           60316                           DSQ      NORM                                  
051565,001439: 12,3102           00047                                    X1                                    
051566,001440: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
051567,001441: 12,3104           02740                                    P                                     
051568,001442: 12,3105           00041                                    R1                                    
051569,001443: 12,3106           75452                           SL3      SQRT                                  
051570,001444: 12,3107           56405                           DMP      SL3R                                  
051571,001445: 12,3110           02766                                    COGA                                  
051572,001446: 12,3111           14043                           STODL    KEPC1                                 
051573,001447: 12,3112           02742                                    R1A                                   
051574,001448: 12,3113           43021                           BDSU     CLEAR                                 
051575,001449: 12,3114           11007                                    D1/64                                 
051576,001450: 12,3115           04270                                    INFINFLG                              
051577,001451: 12,3116           00045                           STORE    KEPC2                                 
051578,001452: 12,3117           77616                           RVQ                                            
051579,001453: 

Page 1182

051581,001455: 12,3120           77774        RESETX2            AXT,2                                          
051582,001456: 12,3121           00003                                    3                                     
051583,001457: 
051584,001458: 12,3122           51001        360CHECK           SETPD    BPL                                   
051585,001459: 12,3123           00001                                    0D                                    
051586,001460: 12,3124           25127                                    INVRSEQN                              
051587,001461: 12,3125           77614                           SET                                            
051588,001462: 12,3126           04076                                    360SW                                 
051589,001463: 
051590,001464: 
051591,001465: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
051592,001466: 12,3130           02740                                    P                                     
051593,001467: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)                  PL AT 2
051594,001468: 12,3132           02730                                    SNTH                                  
051595,001469: 12,3133           02766                                    COGA                                  
051596,001470: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)                PL AT 4
051597,001471: 12,3135           02732                                    CSTH                                  
051598,001472: 12,3136           43202                           SR4      DAD                                   
051599,001473: 12,3137           11015                                    D1/32                                 
051600,001474: 12,3140           41225                           DSU      DMP                                   #                               PL AT 2,0
051601,001475: 12,3141           55301                           NORM     BDDV                                  
051602,001476: 12,3142           00047                                    X1                                    
051603,001477: 12,3143           02730                                    SNTH                                  
051604,001478: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
051605,001479: 12,3145           21174                                    0          -5,1                       
051606,001480: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                  PL AT 2
051607,001481: 12,3147           14043                           STODL    34D                                   
051608,001482: 12,3150           11013                                    D1/16                                 
051609,001483: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                        PL AT 4
051610,001484: 12,3152           65234                           RTB      PDDL                                  #                               PL AT 7
051611,001485: 12,3153           21615                                    TPMODE                                
051612,001486: 12,3154           02742                                    R1A                                   
051613,001487: 12,3155           40405                           DMP      SR4                                   
051614,001488: 12,3156           00043                                    34D                                   
051615,001489: 12,3157           77771                           TAD                                            #                                   PL AT 4
051616,001490: 12,3160           75440                           BMN      SQRT                                  
051617,001491: 12,3161           25205                                    INFINITY                              
051618,001492: 12,3162           77615                           DAD                                            #                               PL AT 2
051619,001493: 12,3163           60304                           TIX,2    NORM                                  
051620,001494: 12,3164           25151                                    1/WLOOP                               
051621,001495: 12,3165           00047                                    X1                                    
051622,001496: 12,3166           77665                           BDDV                                           #                                   PL AT 0
051623,001497: 12,3167           52057                           SLR*     GOTO                                  
051624,001498: 12,3170           21172                                    0          -7,1                       
051625,001499: 12,3171           25031                                    POLYCOEF                              
051626,001500: 
051627,001501: 
051628,001502: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
051629,001503: 12,3173           02742                                    R1A                                   

Page 1183

051631,001505: 12,3174           25205                                    INFINITY                              
051632,001506: 12,3175           60366                           SQRT     NORM                                  
051633,001507: 12,3176           00047                                    X1                                    
051634,001508: 12,3177           53665                           BDDV     SL*                                   
051635,001509: 12,3200           11027                                    2PISC                                 
051636,001510: 12,3201           20176                                    0          -3,1                       
051637,001511: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X          PL AT 0,2
051638,001512: 12,3203           77650                           GOTO                                           
051639,001513: 12,3204           25066                                    XCOMMON                               
051640,001514: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
051641,001515: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
051642,001516: 12,3207           25210                                    OVFLCLR                               
051643,001517: 12,3210           43414        OVFLCLR            SET      RVQ                                   
051644,001518: 12,3211           04070                                    INFINFLG                              
051645,001519: 

Page 1184

051647,001521: 12,3212           40220        LAMBERT            STQ      SETPD                                 
051648,001522: 12,3213           02710                                    RTNLAMB                               
051649,001523: 12,3214           00001                                    0D                                    
051650,001524: 12,3215           77600                           BOV                                            
051651,001525: 12,3216           25217                                    +1                                    
051652,001526: 12,3217           76614                           CLEAR    VLOAD*                                
051653,001527: 12,3220           02674                                    SOLNSW                                
051654,001528: 12,3221           10005                                    MUTABLE,1                             
051655,001529: 12,3222           14017                           STODL    1/MU                                  
051656,001530: 12,3223           02671                                    TDESIRED                              
051657,001531: 12,3224           77675                           DMPR                                           
051658,001532: 12,3225           11014                                    BEE19                                 
051659,001533: 12,3226           02764                           STORE    EPSILONL                              
051660,001534: 12,3227           77214                           SET      VLOAD                                 
051661,001535: 12,3230           00474                                    SLOPESW                               
051662,001536: 12,3231           02655                                    R1VEC                                 
051663,001537: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)        PL AT 6
051664,001538: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
051665,001539: 12,3234           11102                                    GEOM                                  
051666,001540: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                 PL AT 2
051667,001541: 12,3236           02720                                    MAGVEC2                               
051668,001542: 12,3237           65301                           NORM     PDDL                                  #                               PL AT 4
051669,001543: 12,3240           00047                                    X1                                    
051670,001544: 12,3241           00041                                    R1                                    
051671,001545: 12,3242           56342                           SR1      DDV                                   #                               PL AT 2
051672,001546: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)  PL AT 0,2
051673,001547: 12,3244           20173                                    0          -6,1                       
051674,001548: 12,3245           77626                           STADR                                          
051675,001549: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
051676,001550: 12,3247           44342                           SR1      BDSU                                  
051677,001551: 12,3250           11011                                    D1/4                                  
051678,001552: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
051679,001553: 
051680,001554: 12,3252           53106                           ROUND    BZE                                   
051681,001555: 12,3253           25473                                    360LAMB                               
051682,001556: 12,3254           65301                           NORM     PDDL                                  #                               PL AT 4
051683,001557: 12,3255           00047                                    X1                                    
051684,001558: 12,3256           00001                                    0D                                    
051685,001559: 12,3257           56342                           SR1      DDV                                   #                               PL AT 2
051686,001560: 12,3260           75457                           SL*      SQRT                                  
051687,001561: 12,3261           20176                                    0          -3,1                       
051688,001562: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5) PL AT 4
051689,001563: 12,3263           02730                                    SNTH                                  
051690,001564: 12,3264           20607                                    6                                     
051691,001565: 12,3265           43271                           DDV      DAD                                   #                               PL AT 2
051692,001566: 12,3266           02734                                    1-CSTH                                
051693,001567: 12,3267           77626                           STADR                                          
051694,001568: 12,3270           77760                           STORE    COGAMAX                               
051695,001569: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
051696,001570: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1185

051698,001572: 12,3273           25302                                    MAXCOGA                               #    THIS WOULD BE RESET IN LAMBLOOP
051699,001573: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
051700,001574: 12,3275           11033                                    COGUPLIM                              
051701,001575: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
051702,001576: 12,3277           77745        UPLIM              DLOAD                                          
051703,001577: 12,3300           11033                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
051704,001578: 12,3301           00017                           STORE    COGAMAX                               #    NOT CAUSING OVFL IN R1A CALCULATION
051705,001579: 12,3302           77745        MAXCOGA            DLOAD                                          
051706,001580: 12,3303           02732                                    CSTH                                  
051707,001581: 12,3304           45261                           SR       DSU                                   #                               PL AT 0
051708,001582: 12,3305           20607                                    6                                     
051709,001583: 12,3306           77626                           STADR                                          
051710,001584: 12,3307           61041                           STODL    CSTH-RHO                              
051711,001585: 12,3310           02673                                    GEOMSGN                               
051712,001586: 12,3311           71240                           BMN      DLOAD                                 
051713,001587: 12,3312           25513                                    LOLIM                                 
051714,001588: 12,3313           02736                                    CSTH-RHO                              
051715,001589: 12,3314           56352                           SL1      DDV                                   
051716,001590: 12,3315           02730                                    SNTH                                  
051717,001591: 12,3316           77600                           BOV                                            
051718,001592: 12,3317           25513                                    LOLIM                                 
051719,001593: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
051720,001594: 12,3321           66214                           BON      SSP                                   
051721,001595: 12,3322           00715                                    GUESSW                                
051722,001596: 12,3323           25477                                    NOGUESS                               
051723,001597: 12,3324           00051                                    TWEEKIT                               
051724,001598: 12,3325           00001                                    00001                                 
051725,001599: 12,3326           77745                           DLOAD                                          
051726,001600: 12,3327           02766                                    COGA                                  
051727,001601: 
051728,001602: 
051729,001603: 12,3330           77605        LAMBLOOP           DMP                                            
051730,001604: 12,3331           02730                                    SNTH                                  
051731,001605: 12,3332           45342                           SR1      DSU                                   
051732,001606: 12,3333           02736                                    CSTH-RHO                              
051733,001607: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
051734,001608: 12,3335           00047                                    X1                                    
051735,001609: 12,3336           02734                                    1-CSTH                                
051736,001610: 12,3337           56257                           SL*      DDV                                   #  1-CSTH  (+2)                 PL AT 0
051737,001611: 12,3340           20170                                    0          -9D,1                      
051738,001612: 12,3341           53040                           BMN      BZE                                   
051739,001613: 12,3342           25427                                    NEGP                                  
051740,001614: 12,3343           25427                                    NEGP                                  
051741,001615: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
051742,001616: 12,3345           02766                                    COGA                                  
051743,001617: 12,3346           43316                           DSQ      DAD                                   
051744,001618: 12,3347           11017                                    D1/1024                               
051745,001619: 12,3350           41301                           NORM     DMP                                   
051746,001620: 12,3351           00047                                    X1                                    
051747,001621: 12,3352           02740                                    P                                     

Page 1186

051749,001623: 12,3353           44257                           SR*      BDSU                                  
051750,001624: 12,3354           20571                                    0          -8D,1                      
051751,001625: 12,3355           11015                                    D1/32                                 
051752,001626: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
051753,001627: 
051754,001628: 12,3357           02740                                    P                                     
051755,001629: 12,3360           45000                           BOV      CALL                                  
051756,001630: 12,3361           25432                                    HIENERGY                              
051757,001631: 12,3362           24767                                    GETX                                  
051758,001632: 12,3363           77745                           DLOAD                                          
051759,001633: 12,3364           00037                                    T                                     
051760,001634: 12,3365           16762                           STODL    TPREV                                 
051761,001635: 12,3366           00031                                    XI                                    
051762,001636: 12,3367           45014                           BON      CALL                                  
051763,001637: 12,3370           04310                                    INFINFLG                              
051764,001638: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
051765,001639: 12,3372           24421                                    DELTIME                               
051766,001640: 12,3373           44200                           BOV      BDSU                                  
051767,001641: 12,3374           25447                                    BIGTIME                               
051768,001642: 12,3375           02671                                    TDESIRED                              
051769,001643: 12,3376           02760                           STORE    TERRLAMB                              
051770,001644: 12,3377           44246                           ABS      BDSU                                  
051771,001645: 12,3400           02764                                    EPSILONL                              
051772,001646: 12,3401           47044                           BPL      RTB                                   
051773,001647: 12,3402           25516                                    INITV                                 
051774,001648: 12,3403           24644                                    CHECKCTR                              
051775,001649: 12,3404           43030                           BHIZ     BON                                   
051776,001650: 12,3405           25460                                    SUFFCHEK                              
051777,001651: 12,3406           00714                                    SLOPESW                               
051778,001652: 12,3407           25415                                    GOITER                                
051779,001653: 12,3410           45345                           DLOAD    DSU                                   
051780,001654: 12,3411           00037                                    T                                     
051781,001655: 12,3412           02762                                    TPREV                                 
051782,001656: 12,3413           77654                           BZE                                            
051783,001657: 12,3414           25460                                    SUFFCHEK                              
051784,001658: 12,3415           77624        GOITER             CALL                                           
051785,001659: 12,3416           24536                                    ITERATOR                              
051786,001660: 12,3417           53145                           DLOAD    BZE                                   
051787,001661: 12,3420           00155                                    MPAC                                  
051788,001662: 12,3421           25460                                    SUFFCHEK                              
051789,001663: 12,3422           77615                           DAD                                            
051790,001664: 12,3423           02766                                    COGA                                  
051791,001665: 12,3424           02766                           STORE    COGA                                  
051792,001666: 12,3425           77650                           GOTO                                           
051793,001667: 12,3426           25330                                    LAMBLOOP                              
051794,001668: 
051795,001669: 
051796,001670: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
051797,001671: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
051798,001672: 12,3431           25452                                    LOENERGY                              
051799,001673: 

Page 1187

051801,001675: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
051802,001676: 12,3433           00001                                    0                                     
051803,001677: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
051804,001678: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
051805,001679: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
051806,001680: 12,3437           00015                                    DCOGA                                 
051807,001681: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
051808,001682: 12,3441           44254                           BZE      BDSU                                  
051809,001683: 12,3442           25460                                    SUFFCHEK                              
051810,001684: 12,3443           02766                                    COGA                                  
051811,001685: 12,3444           02766                           STORE    COGA                                  
051812,001686: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
051813,001687: 12,3446           25330                                    LAMBLOOP                              
051814,001688: 
051815,001689: 
051816,001690: 12,3447           77745        BIGTIME            DLOAD                                          
051817,001691: 12,3450           02762                                    TPREV                                 
051818,001692: 12,3451           00037                           STORE    T                                     
051819,001693: 
051820,001694: 
051821,001695: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
051822,001696: 12,3453           00001                                    0                                     
051823,001697: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
051824,001698: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
051825,001699: 12,3456           77650                           GOTO                                           
051826,001700: 12,3457           25436                                    COMMONLM                              
051827,001701: 
051828,001702: 
051829,001703: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
051830,001704: 12,3461           02760                                    TERRLAMB                              
051831,001705: 12,3462           41325                           PDDL     DMP                                   #                               PL AT 2D
051832,001706: 12,3463           02671                                    TDESIRED                              
051833,001707: 12,3464           11002                                    BEE17                                 
051834,001708: 12,3465           45215                           DAD      DSU                                   #                               PL AT 0D
051835,001709: 12,3466           11031                                    ONEBIT                                
051836,001710: 12,3467           43044                           BPL      SETGO                                 
051837,001711: 12,3470           25516                                    INITV                                 
051838,001712: 12,3471           02434                                    SOLNSW                                
051839,001713: 12,3472           25516                                    INITV                                 
051840,001714: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
051841,001715: 12,3474           00001                                    0                                     
051842,001716: 12,3475           02434                                    SOLNSW                                
051843,001717: 12,3476           02710                                    RTNLAMB                               
051844,001718: 
051845,001719: 
051846,001720: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
051847,001721: 12,3500           00051                                    TWEEKIT                               
051848,001722: 12,3501           10000                                    20000                                 
051849,001723: 12,3502           00011                                    COGAMIN                               #                               PL AT 2
051850,001724: 12,3503           65342                           SR1      PDDL                                  

Page 1188

051852,001726: 12,3504           00017                                    COGAMAX                               
051853,001727: 12,3505           43342                           SR1      DAD                                   
051854,001728: 12,3506           77626                           STADR                                          #                               PL AT 0
051855,001729: 12,3507           75011                           STORE    COGA                                  
051856,001730: 12,3510           00015                           STORE    DCOGA                                 
051857,001731: 12,3511           77650                           GOTO                                           
051858,001732: 12,3512           25330                                    LAMBLOOP                              
051859,001733: 
051860,001734: 
051861,001735: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
051862,001736: 12,3514           11035                                    COGLOLIM                              #  COGLOLIM=-.999511597
051863,001737: 12,3515           25320                                    MINCOGA                               
051864,001738: 
051865,001739: 
051866,001740: 12,3516           60345        INITV              DLOAD    NORM                                  
051867,001741: 12,3517           00041                                    R1                                    
051868,001742: 12,3520           00047                                    X1                                    
051869,001743: 12,3521           70525                           PDDL     SR1                                   #                               PL AT 2
051870,001744: 12,3522           02740                                    P                                     
051871,001745: 12,3523           77671                           DDV                                            #                               PL AT 0
051872,001746: 12,3524           75457                           SL*      SQRT                                  
051873,001747: 12,3525           20175                                    0          -4,1                       
051874,001748: 12,3526           72405                           DMP      SL1                                   
051875,001749: 12,3527           00021                                    ROOTMU                                
051876,001750: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                 PL AT 2
051877,001751: 12,3531           02766                                    COGA                                  
051878,001752: 12,3532           74261                           SL       VXSC                                  
051879,001753: 12,3533           20206                                    5                                     
051880,001754: 12,3534           02722                                    UR1                                   
051881,001755: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                  PL AT 0,6
051882,001756: 12,3536           76561                           VXSC     VSL1                                  
051883,001757: 12,3537           02674                                    UN                                    
051884,001758: 12,3540           53235                           VXV      VAD                                   #                               PL AT 0
051885,001759: 12,3541           02722                                    UR1                                   
051886,001760: 12,3542           77772                           VSL1                                           
051887,001761: 12,3543           02744                           STORE    VVEC                                  
051888,001762: 12,3544           53135                           SLOAD    BZE                                   
051889,001763: 12,3545           02702                                    VTARGTAG                              
051890,001764: 12,3546           25551                                    TARGETV                               
051891,001765: 12,3547           77650                           GOTO                                           
051892,001766: 12,3550           02710                                    RTNLAMB                               
051893,001767: 
051894,001768: 
051895,001769: 12,3551           45145        TARGETV            DLOAD    CALL                                  
051896,001770: 12,3552           02720                                    MAGVEC2                               
051897,001771: 12,3553           24701                                    LAMENTER                              
051898,001772: 12,3554           02703                           STORE    VTARGET                               
051899,001773: 12,3555           77650                           GOTO                                           
051900,001774: 12,3556           02710                                    RTNLAMB                               
051901,001775: 

Page 1189

051903,001777: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                  PL AT 0
051904,001778: 12,3560           02710                                    RTNTR                                 
051905,001779: 12,3561           00001                                    0                                     
051906,001780: 12,3562           77600                           BOV                                            
051907,001781: 12,3563           25564                                    +1                                    
051908,001782: 12,3564           63375                           VLOAD    PDVL                                  #                                  PL AT 6
051909,001783: 12,3565           02655                                    RVEC                                  
051910,001784: 12,3566           02744                                    VVEC                                  
051911,001785: 12,3567           77624                           CALL                                           
051912,001786: 12,3570           11036                                    PARAM                                 
051913,001787: 12,3571           71200                           BOV      DLOAD                                 #                                  PL AT 0
051914,001788: 12,3572           24764                                    COGAOVFL                              
051915,001789: 12,3573           11015                                    D1/32                                 
051916,001790: 12,3574           41225                           DSU      DMP                                   
051917,001791: 12,3575           02742                                    R1A                                   
051918,001792: 12,3576           02740                                    P                                     
051919,001793: 12,3577           41366                           SQRT     DMP                                   
051920,001794: 12,3600           02766                                    COGA                                  
051921,001795: 12,3601           74212                           SL4      VXSC                                  
051922,001796: 12,3602           02712                                    U2                                    
051923,001797: 12,3603           45325                           PDDL     DSU                                   #                                  PL AT 6
051924,001798: 12,3604           11007                                    D1/64                                 
051925,001799: 12,3605           02742                                    R1A                                   
051926,001800: 12,3606           52361                           VXSC     VSU                                   #                                  PL AT 0
051927,001801: 12,3607           02722                                    UR1                                   
051928,001802: 12,3610           53512                           VSL4     UNIT                                  
051929,001803: 12,3611           77600                           BOV                                            
051930,001804: 12,3612           25670                                    CIRCULAR                              
051931,001805: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)               PL AT 6
051932,001806: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
051933,001807: 12,3615           00047                                    X1                                    
051934,001808: 12,3616           41325                           PDDL     DMP                                   #                               PL AT 8
051935,001809: 12,3617           00041                                    R1                                    
051936,001810: 12,3620           02740                                    P                                     
051937,001811: 12,3621           56257                           SL*      DDV                                   #                               PL AT 6
051938,001812: 12,3622           20201                                    0,1                                   
051939,001813: 12,3623           56225                           DSU      DDV                                   
051940,001814: 12,3624           11013                                    D1/16                                 
051941,001815: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
051942,001816: 12,3626           00031                           STORE    COSF                                  
051943,001817: 12,3627           63400                           BOV      DSQ                                   
051944,001818: 12,3630           25674                                    BADR2                                 
051945,001819: 12,3631           50021                           BDSU     BMN                                   
051946,001820: 12,3632           11011                                    D1/4                                  
051947,001821: 12,3633           25674                                    BADR2                                 
051948,001822: 12,3634           75366                           SQRT     SIGN                                  
051949,001823: 12,3635           02755                                    SGNRDOT                               
051950,001824: 12,3636           77614                           CLEAR                                          
051951,001825: 12,3637           04272                                    APSESW                                

Page 1190

051953,001827: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
051954,001828: 12,3641           02674                                    UN                                    
051955,001829: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D                 PL AT 0,6
051956,001830: 12,3643           00001                                    0D                                    
051957,001831: 12,3644           53361                           VXSC     VAD                                   #                               PL AT 0
051958,001832: 12,3645           00031                                    COSF                                  
051959,001833: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                        PL AT 6
051960,001834: 
051961,001835: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
051962,001836: 12,3650           02722                                    UR1                                   
051963,001837: 12,3651           25766                                    DP1/4                                 
051964,001838: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
051965,001839: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
051966,001840: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
051967,001841: 12,3655           02722                                    UR1                                   
051968,001842: 12,3656           76435                           VXV      VSL1                                  
051969,001843: 12,3657           72441                           DOT      SL1                                   
051970,001844: 12,3660           02674                                    UN                                    
051971,001845: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
051972,001846: 12,3662           02740                                    P                                     
051973,001847: 12,3663           77624                           CALL                                           
051974,001848: 12,3664           24767                                    GETX                                  
051975,001849: 12,3665           77614                           CLRGO                                          
051976,001850: 12,3666           02634                                    SOLNSW                                
051977,001851: 12,3667           24747                                    COMMNOUT                              
051978,001852: 
051979,001853: 
051980,001854: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
051981,001855: 12,3671           00001                                    0                                     
051982,001856: 12,3672           02434                                    SOLNSW                                
051983,001857: 12,3673           25752                                    ABTCONIC                              
051984,001858: 
051985,001859: 
051986,001860: 12,3674           75345        BADR2              DLOAD    SIGN                                  
051987,001861: 12,3675           24005                                    LODPHALF                              
051988,001862: 12,3676           00031                                    COSF                                  
051989,001863: 12,3677           14031                           STODL    COSF                                  
051990,001864: 12,3700           24007                                    KEPZERO                               
051991,001865: 12,3701           77614                           SETGO                                          
051992,001866: 12,3702           04032                                    APSESW                                
051993,001867: 12,3703           25640                                    TERMNVEC                              
051994,001868: 

Page 1191

051996,001870: 12,3704           40220        APSIDES            STQ      SETPD                                 #                                  PL AT  0
051997,001871: 12,3705           02710                                    RTNAPSE                               
051998,001872: 12,3706           00001                                    0D                                    
051999,001873: 12,3707           77600                           BOV                                            
052000,001874: 12,3710           25711                                    +1                                    
052001,001875: 12,3711           63375                           VLOAD    PDVL                                  #                                  PL AT  6
052002,001876: 12,3712           02655                                    RVEC                                  
052003,001877: 12,3713           02744                                    VVEC                                  
052004,001878: 12,3714           77624                           CALL                                           
052005,001879: 12,3715           11036                                    PARAM                                 
052006,001880: 12,3716           77600                           BOV                                            #                                  PL AT  0
052007,001881: 12,3717           25720                                    GETECC                                
052008,001882: 12,3720           42405        GETECC             DMP      SL4                                   
052009,001883: 12,3721           02742                                    R1A                                   
052010,001884: 12,3722           75421                           BDSU     SQRT                                  
052011,001885: 12,3723           11007                                    D1/64                                 
052012,001886: 12,3724           02752                           STORE    ECC                                   
052013,001887: 12,3725           65215                           DAD      PDDL                                  #                                  PL AT  2
052014,001888: 12,3726           11003                                    D1/8                                  
052015,001889: 12,3727           00041                                    R1                                    
052016,001890: 12,3730           72405                           DMP      SL1                                   
052017,001891: 12,3731           02740                                    P                                     
052018,001892: 12,3732           77671                           DDV                                            #                                  PL AT  0
052019,001893: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)              PL AT  2
052020,001894: 12,3734           02742                                    R1A                                   
052021,001895: 12,3735           00047                                    X1                                    
052022,001896: 12,3736           53725                           PDDL     SL*                                   #                                  PL AT  4
052023,001897: 12,3737           00041                                    R1                                    
052024,001898: 12,3740           20174                                    0          -5,1                       
052025,001899: 12,3741           45271                           DDV      DSU                                   #                                  PL AT 2,0
052026,001900: 12,3742           50000                           BOV      BMN                                   
052027,001901: 12,3743           25747                                    INFINAPO                              
052028,001902: 12,3744           25747                                    INFINAPO                              
052029,001903: 12,3745           77650                           GOTO                                           
052030,001904: 12,3746           02710                                    RTNAPSE                               
052031,001905: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC,PERIAPSIS
052032,001906: 12,3750           24020                                    LDPOSMAX                              
052033,001907: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
052034,001908: 

Page 1192

052036,001910: 12,3752           77776        ABTCONIC           EXIT                                           
052037,001911: 12,3753           05653                           TC       POODOO                                
052038,001912: 12,3754           20607                           OCT      20607                                 
052039,001913: 
052040,001914: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
052041,001915: 
052042,001916:                                                                                                  #  ERASABLE ASSIGNMENTS
052043,001917: 
052044,001918: 
052045,001919:                                                                                                  #  KEPLER SUBROUTINE
052046,001920: 
052047,001921:                                                                                                  #     INPUT -
052048,001922:                                                                                                  #  RRECT    ERASE  +5
052049,001923:                                                                                                  #  VRECT    ERASE  +5
052050,001924:                                                                                                  #  TAU.     ERASE  +1
052051,001925:                                                                                                  #  XKEP     ERASE  +1
052052,001926:                                                                                                  #  TC       ERASE  +1
052053,001927:                                                                                                  #  XPREV    ERASE  +1
052054,001928: 12,3755                        1/MU               EQUALS   14D                                   
052055,001929: 12,3755                        ROOTMU             EQUALS   16D                                   
052056,001930: 12,3755                        1/ROOTMU           EQUALS   18D                                   
052057,001931:                                                                                                  #     OUTPUT -
052058,001932:                                                                                                  #  RCV      ERASE  +5
052059,001933:                                                                                                  #  VCV      ERASE  +5
052060,001934:                                                                                                  #  RC       ERASE  +1
052061,001935:                                                                                                  #  XPREV    ERASE  +1
052062,001936: 
052063,001937:                                                                                                  #  DEBRIS -
052064,001938: 12,3755                        ALPHA              EQUALS   8D                                    
052065,001939: 12,3755                        XMAX               EQUALS   10D                                   
052066,001940: 12,3755                        XMIN               EQUALS   12D                                   
052067,001941: 12,3755                        X                  EQUALS   20D                                   
052068,001942: 12,3755                        XI                 EQUALS   24D                                   
052069,001943: 12,3755                        S(XI)              EQUALS   26D                                   
052070,001944: 12,3755                        XSQC(XI)           EQUALS   28D                                   
052071,001945: 12,3755                        T                  EQUALS   30D                                   
052072,001946: 12,3755                        R1                 EQUALS   32D                                   
052073,001947: 12,3755                        KEPC1              EQUALS   34D                                   
052074,001948: 12,3755                        KEPC2              EQUALS   36D                                   
052075,001949:                                                                                                  #  DELX     ERASE  +1
052076,001950:                                                                                                  #  DELT     ERASE  +1
052077,001951:                                                                                                  #  URRECT   ERASE  +5
052078,001952:                                                                                                  #  RCNORM   ERASE  +1
052079,001953:                                                                                                  #  XPREV    EQUALS XKEP
052080,001954: 
052081,001955: 
052082,001956:                                                                                                  #  LAMBERT SUBROUTINE
052083,001957: 
052084,001958:                                                                                                  #     INPUT-
052085,001959:                                                                                                  #  R1VEC    ERASE  +5

Page 1193

052087,001961:                                                                                                  #  R2VEC    ERASE  +5
052088,001962:                                                                                                  #  TDESIRED ERASE  +1
052089,001963:                                                                                                  #  GEOMSGN  ERASE  +0
052090,001964:                                                                                                  #  GUESSW                          0 IF COGA GUESS AVAILABLE, 1 IF NOT
052091,001965:                                                                                                  #  COGA     ERASE  +1              INPUT ONLY IF GUESSW IS ZERO.
052092,001966:                                                                                                  #  NORMSW                          0 IF UN TO BE COMPUTED, 1 IF UN INPUT
052093,001967:                                                                                                  #  UN       ERASE  +5              ONLY USED IF NORMSW IS 1
052094,001968:                                                                                                  #  VTARGTAG ERASE  +0
052095,001969:                                                                                                  #  TWEEKIT  EQUALS 40D             ONLY USED IF GUESSW IS 0
052096,001970: 
052097,001971:                                                                                                  #     OUTPUT -
052098,001972:                                                                                                  #  VTARGET  ERASE  +5              AVAILABLE ONLY IF VTARGTAG IS ZERO.
052099,001973:                                                                                                  #  V1VEC    EQUALS MPAC
052100,001974: 
052101,001975:                                                                                                  #     DEBRIS -
052102,001976:                                                                                                  #  RTNLAMB  ERASE  +0
052103,001977:                                                                                                  #  U2       ERASE  +5
052104,001978:                                                                                                  #  MAGVEC2  ERASE  +1
052105,001979:                                                                                                  #  UR1      ERASE  +5
052106,001980:                                                                                                  #  R1       EQUALS 31D
052107,001981:                                                                                                  #  UN       ERASE  +5
052108,001982:                                                                                                  #  SNTH     ERASE  +1
052109,001983:                                                                                                  #  CSTH     ERASE  +1
052110,001984:                                                                                                  #  1-CSTH   ERASE  +1
052111,001985:                                                                                                  #  CSTH-RHO ERASE  +1
052112,001986: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
052113,001987: 12,3755                        COGAMIN            EQUALS   8D                                    
052114,001988: 12,3755                        DCOGA              EQUALS   12D                                   
052115,001989:                                                                                                  #  TWEEKIT  EQUALS 40D
052116,001990:                                                                                                  #  P        ERASE  +1
052117,001991:                                                                                                  #  COGA     ERASE  +1
052118,001992:                                                                                                  #  R1A      ERASE  +1
052119,001993:                                                                                                  #  X        EQUALS 20D
052120,001994:                                                                                                  #  XSQ      EQUALS 22D
052121,001995:                                                                                                  #  XI       EQUALS 24D
052122,001996:                                                                                                  #  S(XI)    EQUALS 26D
052123,001997:                                                                                                  #  XSQC(XI) EQUALS 28D
052124,001998:                                                                                                  #  T        EQUALS 30D
052125,001999:                                                                                                  #  KEPC1    EQUALS 34D
052126,002000:                                                                                                  #  KEPC2    EQUALS 36D
052127,002001:                                                                                                  #  SLOPESW
052128,002002:                                                                                                  #  SOLNSW
052129,002003:                                                                                                  #  OTHERS -
052130,002004: 
052131,002005:                                                                                                  #  RVEC     EQUALS R1VEC
052132,002006:                                                                                                  #  VVEC     ERASE  +5
052133,002007:                                                                                                  #  COGAFLAG
052134,002008:                                                                                                  #  RVSW
052135,002009:                                                                                                  #  INFINFLG
052136,002010:                                                                                                  #  APSESW

Page 1194

052138,002012:                                                                                                  #  360SW
052139,002013:                                                                                                  #  RTNTT    EQUALS RTNLAMB
052140,002014:                                                                                                  #  ECC      ERASE  +1
052141,002015:                                                                                                  #  RTNTR    EQUALS RTNLAMB
052142,002016:                                                                                                  #  RTNAPSE  EQUALS RTNLAMB
052143,002017:                                                                                                  #  R2       EQUALS MAGVEC2
052144,002018: 12,3755                        COSF               EQUALS   24D                                   
052145,002019:                                                                                                  #  RTNPRM   ERASE  +0
052146,002020:                                                                                                  #  SGNRDOT  ERASE  +0
052147,002021:                                                                                                  #  RDESIRED ERASE  +1
052148,002022: 
052149,002023: 
052150,002024:                                                                                                  #  ITERATOR SUBROUTINE
052151,002025: 
052152,002026:                                                                                                  #  ORDERSW
052153,002027: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
052154,002028: 12,3755                        MIN                EQUALS   8D                                    
052155,002029:                                                                                                  #  INDEP    ERASE  +1
052156,002030: 12,3755                        DELINDEP           EQUALS   12D                                   
052157,002031: 12,3755                        ITERCTR            EQUALS   22D                                   
052158,002032: 12,3755                        DEP                EQUALS   30D                                   
052159,002033:                                                                                                  #  DELDEP   ERASE  +1
052160,002034:                                                                                                  #  DEPREV   ERASE  +1
052161,002035: 12,3755                        TWEEKIT            EQUALS   40D                                   
052162,002036: 
052163,002037: 
052164,002038:                                                                                                  #  MORE KEPLER
052165,002039: 
052166,002040:                                                                                                  #  EPSILONT ERASE  +1
052167,002041: 
052168,002042: 
052169,002043:                                                                                                  #  MORE LAMBERT
052170,002044: 
052171,002045:                                                                                                  #  TERRLAMB EQUALS DELDEP
052172,002046:                                                                                                  #  TPREV    EQUALS DEPREV
052173,002047: 
052174,002048: 
052175,002049:                                                                                                  #  EPSILONL EQUALS EPSILONT +2     DOUBLE PRECISION WORD

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