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.

050141,000002:                                                                                                  ## Copyright:   Public domain.
050142,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
050143,000004:                                                                                                  ## Purpose:     A log section of Zerlina 56, the final revision of
050144,000005:                                                                                                  ##              Don Eyles's offline development program for the variable 
050145,000006:                                                                                                  ##              guidance period servicer. It also includes a new P66 with LPD 
050146,000007:                                                                                                  ##              (Landing Point Designator) capability, based on an idea of John 
050147,000008:                                                                                                  ##              Young's. Neither of these advanced features were actually flown,
050148,000009:                                                                                                  ##              but Zerlina was also the birthplace of other big improvements to
050149,000010:                                                                                                  ##              Luminary including the terrain model and new (Luminary 1E)
050150,000011:                                                                                                  ##              analog display programs. Zerlina was branched off of Luminary 145,
050151,000012:                                                                                                  ##              and revision 56 includes all changes up to and including Luminary
050152,000013:                                                                                                  ##              183. It is therefore quite close to the Apollo 14 program,
050153,000014:                                                                                                  ##              Luminary 178, where not modified with new features.
050154,000015:                                                                                                  ## Reference:   pp. 1150-1194
050155,000016:                                                                                                  ## Assembler:   yaYUL
050156,000017:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
050157,000018:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
050158,000019:                                                                                                  ## Mod history: 2017-07-28 MAS  Created from Luminary 210.
050159,000020:                                                                                                  ##              2017-08-28 MAS  Updated for Zerlina 56.
050160,000021: 

Page 1150

050162,000023:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION                       DATE - 1 SEPTEMBER 1967
050163,000024:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050164,000025:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050165,000026: 
050166,000027: 
050167,000028: 
050168,000029:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050169,000030: 
050170,000031:                                                                                                  #       THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
050171,000032:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
050172,000033:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
050173,000034:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
050174,000035:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
050175,000036:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
050176,000037:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
050177,000038:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
050178,000039:                                                                                                  #  TINES APPROPRIATELY.
050179,000040:                                                                                                  #       DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
050180,000041:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
050181,000042:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
050182,000043: 
050183,000044: 
050184,000045:                                                                                                  #  RESTRICTIONS -
050185,000046: 
050186,000047:                                                                                                  #       THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
050187,000048:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
050188,000049:                                                                                                  #  TORIES COULD BE HANDLED.
050189,000050:                                                                                                  #       SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
050190,000051:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
050191,000052:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
050192,000053: 

Page 1151

050194,000055:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                                 DATE - 11 OCTOBER 1967
050195,000056:                                                                                                  #  MOD NO. -1                                                                       LOG SECTION - CONIC SUBROUTINES
050196,000057:                                                                                                  #  MOD BY KRAUSE                                                           ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
050197,000058:                                                                                                  #  MOD NO. - 2  (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
050198,000059: 
050199,000060: 
050200,000061:                                                                                                  #  MOD NO. - 3  (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
050201,000062: 
050202,000063: 
050203,000064:                                                                                                  #  MOD. NO. - 4  (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
050204,000065: 
050205,000066: 
050206,000067:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050207,000068:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
050208,000069:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
050209,000070:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
050210,000071:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
050211,000072:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
050212,000073:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
050213,000074:                                                                                                  #       IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
050214,000075:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
050215,000076:                                                                                                  #       IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
050216,000077:                                                                                                  #  MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
050217,000078: 
050218,000079: 
050219,000080:                                                                                                  #  THE RESTRICTIONS ARE -
050220,000081:                                                                                                  #       1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
050221,000082:                                                                                                  #       2.  THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
050222,000083:                                                                                                  #  ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050223,000084: 
050224,000085: 
050225,000086:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
050226,000087:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
050227,000088:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
050228,000089: 
050229,000090: 
050230,000091: 
050231,000092:                                                                                                  #  REFERENCES -
050232,000093:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
050233,000094:                                                                                                  #  MEMO 67-4.
050234,000095: 
050235,000096: 
050236,000097: 
050237,000098:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050238,000099: 
050239,000100:                                                                                                  #          * SCALE FACTOR *
050240,000101:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050241,000102:                                                                                                  #  --------*--------------*                         -----------------------
050242,000103:                                                                                                  #  RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050243,000104:                                                                                                  #          * +27 FOR MOON *

Page 1152

050245,000106:                                                                                                  #  VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050246,000107:                                                                                                  #          * +5 FOR MOON  *
050247,000108:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050248,000109:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
050249,000110:                                                                                                  #  TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
050250,000111:                                                                                                  #          *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
050251,000112:                                                                                                  #  XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
050252,000113:                                                                                                  #          * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD,VIZ, 2PI SQRT(SEMI-
050253,000114:                                                                                                  #          *              *    MAJOR AXIS),FOR SPEED OF CONVERGENCE,BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
050254,000115:                                                                                                  #          *              *    BY KEPLER TO A POOR BUT VALID GUESS.
050255,000116:                                                                                                  #  TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
050256,000117:                                                                                                  #  XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
050257,000118:                                                                                                  #          * +16 FOR MOON *    ORBITAL PERIOD,VIZ,2PI SQRT(SEMI-MAJOR AXIS)
050258,000119: 
050259,000120: 
050260,000121: 
050261,000122:                                                                                                  #  SUBROUTINES CALLED -
050262,000123:                                                                                                  #       DELTIME
050263,000124: 
050264,000125: 
050265,000126: 
050266,000127:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050267,000128: 
050268,000129:                                                                                                  #  KEPRTN-2 GOTO                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050269,000130:                                                                                                  #  KEPRTN-1        KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
050270,000131:                                                                                                  #  KEPRTN   ...                    CONTINUE
050271,000132: 
050272,000133:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
050273,000134:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
050274,000135:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
050275,000136: 
050276,000137: 
050277,000138: 
050278,000139:                                                                                                  #  ABORT EXIT MODES -
050279,000140:                                                                                                  #       NONE
050280,000141: 
050281,000142: 
050282,000143: 
050283,000144:                                                                                                  #  OUTPUT -
050284,000145: 
050285,000146:                                                                                                  #          * SCALE FACTOR *
050286,000147:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050287,000148:                                                                                                  #  --------*--------------*                         -----------------------
050288,000149:                                                                                                  #  RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
050289,000150:                                                                                                  #          * +27 FOR MOON *
050290,000151:                                                                                                  #  VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
050291,000152:                                                                                                  #          * +5 FOR MOON  *
050292,000153:                                                                                                  #  TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
050293,000154:                                                                                                  #  XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
050294,000155:                                                                                                  #          * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1153

050296,000157:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050297,000158: 
050298,000159: 
050299,000160: 
050300,000161:                                                                                                  #  DEBRIS -
050301,000162: 
050302,000163:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050303,000164: 
050304,000165:                                                                                                  #          * SCALE FACTOR *
050305,000166:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050306,000167:                                                                                                  #  --------*--------------*                         -----------------------
050307,000168:                                                                                                  #  URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
050308,000169:                                                                                                  #  R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
050309,000170:                                                                                                  #          * +27 FOR MOON *
050310,000171:                                                                                                  #  ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
050311,000172:                                                                                                  #          * -20 FOR MOON *
050312,000173:                                                                                                  #  TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN  CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
050313,000174:                                                                                                  #          *              *TAU. OF LESS THAN ONE PERIOD.
050314,000175: 
050315,000176:                                                                                                  #       PARAMETERS OF NO USE -
050316,000177:                                                                                                  #  DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
050317,000178: 
050318,000179: 

Page 1154

050320,000181:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
050321,000182:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050322,000183:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050323,000184: 
050324,000185: 
050325,000186: 
050326,000187:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050327,000188: 
050328,000189:                                                                                                  #       THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
050329,000190:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
050330,000191:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
050331,000192:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
050332,000193:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
050333,000194:                                                                                                  #  UTILIZED IN THE COMPUTATION.
050334,000195: 
050335,000196: 
050336,000197:                                                                                                  #  THE RESTRICTIONS ARE -
050337,000198:                                                                                                  #       1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
050338,000199:                                                                                                  #       2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
050339,000200:                                                                                                  #       3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050340,000201:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
050341,000202:                                                                                                  #       4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
050342,000203:                                                                                                  #       5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
050343,000204:                                                                                                  #  LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050344,000205:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
050345,000206:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                THE AGC COMPUTATION TIME IS APPROXIMATE-
050346,000207:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
050347,000208: 
050348,000209: 
050349,000210: 
050350,000211:                                                                                                  #  REFERENCES -
050351,000212:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8,
050352,000213:                                                                                                  #  SGA MEMO 67-4.
050353,000214: 
050354,000215: 
050355,000216: 
050356,000217:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050357,000218: 
050358,000219:                                                                                                  #          * SCALE FACTOR *
050359,000220:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050360,000221:                                                                                                  #  --------*--------------*                         -----------------------
050361,000222:                                                                                                  #  R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050362,000223:                                                                                                  #          * +27 FOR MOON *
050363,000224:                                                                                                  #  R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
050364,000225:                                                                                                  #          * +27 FOR MOON *
050365,000226:                                                                                                  #  TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
050366,000227:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050367,000228:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
050368,000229:                                                                                                  #  GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
050369,000230:                                                                                                  #  GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1155

050371,000232:                                                                                                  #          *              *COGA IS TO BE USED BY LAMBERT
050372,000233:                                                                                                  #  COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
050373,000234:                                                                                                  #                         *IGNORED IF GUESSW IS SET.
050374,000235:                                                                                                  #  NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
050375,000236:                                                                                                  #          *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
050376,000237:                                                                                                  #  UN      * +1           *DP UNIT  NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
050377,000238:                                                                                                  #          *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
050378,000239:                                                                                                  #  VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
050379,000240:                                                                                                  #          *              *AT R1VEC.
050380,000241:                                                                                                  #  ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
050381,000242:                                                                                                  #          *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
050382,000243:                                                                                                  #          *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
050383,000244:                                                                                                  #          *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
050384,000245: 
050385,000246: 
050386,000247:                                                                                                  #  SUBROUTINES CALLED -
050387,000248:                                                                                                  #       GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
050388,000249: 
050389,000250: 
050390,000251: 
050391,000252:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050392,000253: 
050393,000254:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050394,000255:                                                                                                  #  L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
050395,000256:                                                                                                  #                                  IN MPAC IF VTARGTAG WAS ZERO
050396,000257:                                                                                                  #  L+2      BON                    CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
050397,000258:                                                                                                  #  L+3             SOLNSW
050398,000259:                                                                                                  #  L+4             LAMABORT
050399,000260:                                                                                                  #       IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
050400,000261:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
050401,000262: 
050402,000263: 
050403,000264: 
050404,000265:                                                                                                  #  ABORT EXIT MODES -
050405,000266:                                                                                                  #       IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
050406,000267:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
050407,000268:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
050408,000269:                                                                                                  #  LAMABORT DLOAD    ABS                   A MEASURE OF PROXIMITY TO 0 OR
050409,000270:                                                                                                  #                    1-CSTH                360 DEGREES.
050410,000271:                                                                                                  #           DSU      BMN
050411,000272:                                                                                                  #                    ONEBIT
050412,000273:                                                                                                  #                    CHANGER2              CHANGE R2VEC DIRECTION SLIGHTLY.
050413,000274:                                                                                                  #           DLOAD    DAD
050414,000275:                                                                                                  #                    TDESIRED
050415,000276:                                                                                                  #                    SOMETIME
050416,000277:                                                                                                  #           STCALL   TDESIRED              INCREASE TDESIRED
050417,000278:                                                                                                  #                    LAMBERT
050418,000279: 
050419,000280: 

Page 1156

050421,000282:                                                                                                  #  OUTPUT -
050422,000283:                                                                                                  #          * SCALE FACTOR *
050423,000284:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050424,000285:                                                                                                  #  --------*--------------*                         -----------------------
050425,000286:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
050426,000287:                                                                                                  #          * +5 FOR MOON  *PROBLEM.
050427,000288:                                                                                                  #  VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
050428,000289:                                                                                                  #          * +5 FOR MOON  *
050429,000290:                                                                                                  #  SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
050430,000291:                                                                                                  #          *              *SOLUTION EXISTS.
050431,000292:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050432,000293: 
050433,000294: 
050434,000295: 
050435,000296:                                                                                                  #  DEBRIS -
050436,000297:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050437,000298: 
050438,000299:                                                                                                  #          * SCALE FACTOR *
050439,000300:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050440,000301:                                                                                                  #  --------*--------------*                         -----------------------
050441,000302:                                                                                                  #  SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
050442,000303:                                                                                                  #  CSTH    * +1           *DP COSINE OF ANGLE
050443,000304:                                                                                                  #  1-CSTH  * +2           *DP 1-CSTH
050444,000305:                                                                                                  #  COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
050445,000306:                                                                                                  #  P       * +4           *DP RATIO  OF SEMILATUS RECTUM TO INITIAL RADIUS
050446,000307:                                                                                                  #  R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
050447,000308:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
050448,000309:                                                                                                  #          * +27 FOR MOON *
050449,000310:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF R1VEC
050450,000311:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF R2VEC
050451,000312: 
050452,000313:                                                                                                  #       PARAMETERS OF NO USE
050453,000314:                                                                                                  #  DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP),  PLUS PUSHLIST REGISTER 0 THROUGH 41D
050454,000315:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
050455,000316: 
050456,000317: 

Page 1157

050458,000319:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                                     DATE - 1 SEPTEMBER 1967
050459,000320:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050460,000321:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050461,000322: 
050462,000323: 
050463,000324: 
050464,000325:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050465,000326: 
050466,000327:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
050467,000328:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
050468,000329:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
050469,000330:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050470,000331:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050471,000332:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050472,000333: 
050473,000334: 
050474,000335:                                                                                                  #  THE RESTRICTIONS ARE -
050475,000336:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050476,000337:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
050477,000338:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050478,000339:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050479,000340: 
050480,000341:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
050481,000342: 
050482,000343: 
050483,000344: 
050484,000345:                                                                                                  #  REFERENCES -
050485,000346:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
050486,000347: 
050487,000348: 
050488,000349: 
050489,000350:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050490,000351: 
050491,000352:                                                                                                  #          * SCALE FACTOR *
050492,000353:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050493,000354:                                                                                                  #  --------*--------------*                         -----------------------
050494,000355:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050495,000356:                                                                                                  #          * +27 FOR MOON *
050496,000357:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050497,000358:                                                                                                  #          * +5 FOR MOON  *
050498,000359:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
050499,000360:                                                                                                  #  CSTH    * +1           *DP COSINE OF THE ANGLE
050500,000361:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
050501,000362:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
050502,000363:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050503,000364:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
050504,000365: 
050505,000366: 
050506,000367: 
050507,000368:                                                                                                  #  SUBROUTINES CALLED -

Page 1158

050509,000370:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
050510,000371: 
050511,000372: 
050512,000373: 
050513,000374:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050514,000375: 
050515,000376:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
050516,000377:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050517,000378:                                                                                                  #  L+1             RVSW
050518,000379:                                                                                                  #  L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
050519,000380:                                                                                                  #  L+3      ...                    CONTINUE
050520,000381: 
050521,000382: 
050522,000383:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
050523,000384:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050524,000385:                                                                                                  #  L+1             RVSW
050525,000386:                                                                                                  #  L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
050526,000387:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
050527,000388:                                                                                                  #  L+3      STOVL  NEWVVEC
050528,000389:                                                                                                  #  L+4      STADR
050529,000390:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050530,000391:                                                                                                  #  L+6      ...                            CONTINUE
050531,000392: 
050532,000393: 
050533,000394: 
050534,000395:                                                                                                  #  ABORT EXIT MODES -
050535,000396:                                                                                                  #           IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
050536,000397:                                                                                                  #           AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 AND 721).
050537,000398: 
050538,000399: 
050539,000400: 
050540,000401:                                                                                                  #  OUTPUT -
050541,000402:                                                                                                  #          * SCALE FACTOR *
050542,000403:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050543,000404:                                                                                                  #  --------*--------------*                         -----------------------
050544,000405:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
050545,000406:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
050546,000407:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050547,000408:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050548,000409:                                                                                                  #          *              *CLEAR IF NOT.
050549,000410: 
050550,000411:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
050551,000412: 
050552,000413:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050553,000414:                                                                                                  #   MPAC +5* +5 FOR MOON  *
050554,000415:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050555,000416:                                                                                                  #          * +27 FOR MOON *
050556,000417: 
050557,000418:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050558,000419: 
050559,000420: 

Page 1159

050561,000422:                                                                                                  #  DEBRIS -
050562,000423: 
050563,000424:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050564,000425: 
050565,000426:                                                                                                  #          * SCALE FACTOR *
050566,000427:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050567,000428:                                                                                                  #  --------*--------------*                         -----------------------
050568,000429:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050569,000430:                                                                                                  #          * +27 FOR MOON *
050570,000431:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050571,000432:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
050572,000433:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050573,000434:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
050574,000435:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
050575,000436:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
050576,000437: 
050577,000438: 
050578,000439:                                                                                                  #       PARAMETERS OF NO USE -
050579,000440:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050580,000441:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050581,000442: 
050582,000443: 

Page 1160

050584,000445:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE                            DATE - 11 OCTOBER 1967
050585,000446:                                                                                                  #  MOD NO. -1                                                                      LOG SECTION - CONIC SUBROUTINES
050586,000447:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050587,000448: 
050588,000449: 
050589,000450: 
050590,000451:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050591,000452: 
050592,000453:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
050593,000454:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
050594,000455:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
050595,000456:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050596,000457:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050597,000458:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050598,000459:                                                                                                  #       IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
050599,000460:                                                                                                  #  APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
050600,000461: 
050601,000462: 
050602,000463:                                                                                                  #  THE RESTRICTIONS ARE -
050603,000464:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
050604,000465:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
050605,000466:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050606,000467:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050607,000468:                                                                                                  #       3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
050608,000469:                                                                                                  #  RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
050609,000470:                                                                                                  #  PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
050610,000471: 
050611,000472: 
050612,000473:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
050613,000474: 
050614,000475: 
050615,000476: 
050616,000477:                                                                                                  #  REFERENCES -
050617,000478:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
050618,000479: 
050619,000480: 
050620,000481: 
050621,000482:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050622,000483: 
050623,000484:                                                                                                  #          * SCALE FACTOR *
050624,000485:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050625,000486:                                                                                                  #  --------*--------------*                         -----------------------
050626,000487:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050627,000488:                                                                                                  #          * +27 FOR MOON *
050628,000489:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050629,000490:                                                                                                  #          * +5 FOR MOON  *
050630,000491:                                                                                                  #  RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
050631,000492:                                                                                                  #          * +27 FOR MOON *COMPUTED.
050632,000493:                                                                                                  #  SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
050633,000494:                                                                                                  #          *              *POSITIVE OR NEGATIVE, RESPECTIVELY.  THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1161

050635,000496:                                                                                                  #          *              *SINGLE-VALUED PROBLEM.
050636,000497:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050637,000498:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
050638,000499:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
050639,000500:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
050640,000501: 
050641,000502: 
050642,000503: 
050643,000504:                                                                                                  #  SUBROUTINES CALLED -
050644,000505:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
050645,000506: 
050646,000507: 
050647,000508: 
050648,000509:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
050649,000510: 
050650,000511:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
050651,000512:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050652,000513:                                                                                                  #  L+1             RVSW
050653,000514:                                                                                                  #  L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
050654,000515:                                                                                                  #  L+3      ...                    CONTINUE
050655,000516: 
050656,000517: 
050657,000518:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
050658,000519:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050659,000520:                                                                                                  #  L+1             RVSW
050660,000521:                                                                                                  #  L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
050661,000522:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
050662,000523:                                                                                                  #  L+3      STOVL  NEWVVEC
050663,000524:                                                                                                  #  L+4      STADR
050664,000525:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
050665,000526:                                                                                                  #  L+6      ...                            CONTINUE
050666,000527: 
050667,000528: 
050668,000529: 
050669,000530:                                                                                                  #  ABORT EXIT MODES -
050670,000531:                                                                                                  #           IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
050671,000532:                                                                                                  #           TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
050672,000533: 
050673,000534: 
050674,000535: 
050675,000536:                                                                                                  #  OUTPUT -
050676,000537:                                                                                                  #          * SCALE FACTOR *
050677,000538:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050678,000539:                                                                                                  #  --------*--------------*                         -----------------------
050679,000540:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
050680,000541:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
050681,000542:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
050682,000543:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
050683,000544:                                                                                                  #          *              *CLEAR IF NOT.
050684,000545:                                                                                                  #  APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1162

050686,000547:                                                                                                  #          *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
050687,000548:                                                                                                  #          *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
050688,000549:                                                                                                  #          *              *APOCENTER.
050689,000550:                                                                                                  #  SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
050690,000551:                                                                                                  #                         *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
050691,000552:                                                                                                  #                         *MINUS-18, THE SWITCH IS CLEAR.
050692,000553: 
050693,000554: 
050694,000555:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
050695,000556: 
050696,000557:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
050697,000558:                                                                                                  #   MPAC +5* +5 FOR MOON  *
050698,000559:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
050699,000560:                                                                                                  #          * +27 FOR MOON *
050700,000561: 
050701,000562:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050702,000563: 
050703,000564: 
050704,000565: 
050705,000566:                                                                                                  #  DEBRIS -
050706,000567: 
050707,000568:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050708,000569: 
050709,000570:                                                                                                  #          * SCALE FACTOR *
050710,000571:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050711,000572:                                                                                                  #  --------*--------------*                         -----------------------
050712,000573:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050713,000574:                                                                                                  #          * +27 FOR MOON *
050714,000575:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050715,000576:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
050716,000577:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050717,000578:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
050718,000579:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
050719,000580:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
050720,000581:                                                                                                  #  CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
050721,000582:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
050722,000583: 
050723,000584: 
050724,000585:                                                                                                  #       PARAMETERS OF NO USE -
050725,000586:                                                                                                  #  SP PARAMETERS -  RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
050726,000587:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
050727,000588: 
050728,000589: 

Page 1163

050730,000591:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
050731,000592:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
050732,000593:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
050733,000594: 
050734,000595: 
050735,000596: 
050736,000597:                                                                                                  #  FUNCTIONAL DESCRIPTION -
050737,000598: 
050738,000599:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
050739,000600:                                                                                                  #  ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
050740,000601:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
050741,000602:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
050742,000603:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
050743,000604: 
050744,000605: 
050745,000606:                                                                                                  #  THE RESTRICTIONS ARE -
050746,000607:                                                                                                  #       1.  IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
050747,000608:                                                                                                  #  TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
050748,000609:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
050749,000610:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
050750,000611: 
050751,000612:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
050752,000613: 
050753,000614: 
050754,000615: 
050755,000616:                                                                                                  #  REFERENCES -
050756,000617:                                                                                                  #       MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
050757,000618: 
050758,000619: 
050759,000620: 
050760,000621:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
050761,000622: 
050762,000623:                                                                                                  #          * SCALE FACTOR *
050763,000624:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050764,000625:                                                                                                  #  --------*--------------*                         -----------------------
050765,000626:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
050766,000627:                                                                                                  #          * +27 FOR MOON *
050767,000628:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
050768,000629:                                                                                                  #          * +5 FOR MOON  *
050769,000630:                                                                                                  #  X1 (38D)*NONE          *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
050770,000631:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
050771,000632: 
050772,000633: 
050773,000634: 
050774,000635:                                                                                                  #  SUBROUTINES CALLED -
050775,000636:                                                                                                  #       PARAM, GEOM
050776,000637: 
050777,000638: 
050778,000639: 
050779,000640:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1164

050781,000642:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
050782,000643:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
050783,000644:                                                                                                  #  L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
050784,000645:                                                                                                  #  L+2      STODL  APOAPSE
050785,000646:                                                                                                  #  L+3             0D
050786,000647:                                                                                                  #  L+4      STORE  PERIAPSE                APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
050787,000648:                                                                                                  #  L+5      ...                    CONTINUE
050788,000649: 
050789,000650: 
050790,000651: 
050791,000652:                                                                                                  #  OUTPUT -
050792,000653:                                                                                                  #          * SCALE FACTOR *
050793,000654:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050794,000655:                                                                                                  #  --------*--------------*                         -----------------------
050795,000656:                                                                                                  #  MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
050796,000657:                                                                                                  #          * +27 FOR MOON *
050797,000658:                                                                                                  #  0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
050798,000659:                                                                                                  #          * +27 FOR MOON *
050799,000660:                                                                                                  #  ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
050800,000661: 
050801,000662:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
050802,000663: 
050803,000664: 
050804,000665: 
050805,000666:                                                                                                  #  DEBRIS -
050806,000667: 
050807,000668:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
050808,000669: 
050809,000670:                                                                                                  #          * SCALE FACTOR *
050810,000671:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
050811,000672:                                                                                                  #  --------*--------------*                         -----------------------
050812,000673:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
050813,000674:                                                                                                  #          * +27 FOR MOON *
050814,000675:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
050815,000676:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
050816,000677:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
050817,000678:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
050818,000679:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
050819,000680:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
050820,000681:                                                                                                  #  MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
050821,000682:                                                                                                  #          * +5 FOR MOON  *
050822,000683: 
050823,000684: 
050824,000685:                                                                                                  #       PARAMETERS OF NO USE -
050825,000686:                                                                                                  #  SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5,10D-11D, 14D-21D, 31D-38D.
050826,000687:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
050827,000688: 
050828,000689: 
050829,000690: 
050830,000691: 12,2000                                           SETLOC   CONICS                                

Page 1165

050832,000693: 12,2000                                           BANK                                           
050833,000694: 
050834,000695: 12,2023                                           COUNT*   $$/CONIC                              
050835,000696: 12,2023  E5,1721                                  EBANK=   UR1                                   
050836,000697: 12,2023           40001        KEPLERN            SETPD    BOV                                   
050837,000698: 12,2024           00001                                    0                                     
050838,000699: 12,2025           24026                                    +1                                    
050839,000700: 12,2026           77773                           VLOAD*                                         
050840,000701: 12,2027           10005                                    MUTABLE,1                             
050841,000702: 12,2030           24017                           STOVL    14D                                   
050842,000703: 12,2031           01503                                    RRECT                                 
050843,000704: 12,2032           66256                           UNIT     SSP                                   
050844,000705: 12,2033           00027                                    ITERCTR                               
050845,000706: 12,2034           00024                                    20D                                   
050846,000707: 12,2035           16647                           STODL    URRECT                                
050847,000708: 12,2036           00045                                    36D                                   
050848,000709: 12,2037           24041                           STOVL    R1                                    
050849,000710: 12,2040           01503                                    RRECT                                 
050850,000711: 12,2041           76441                           DOT      SL1R                                  
050851,000712: 12,2042           01511                                    VRECT                                 
050852,000713: 12,2043           76405                           DMP      SL1R                                  
050853,000714: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
050854,000715: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
050855,000716: 
050856,000717: 12,2046           01511                                    VRECT                                 
050857,000718: 12,2047           57236                           VSQ      DMPR                                  
050858,000719: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
050859,000720: 12,2051           52405                           DMP      SL3                                   
050860,000721: 12,2052           00041                                    R1                                    
050861,000722: 12,2053           61425                           DSU      ROUND                                 
050862,000723: 12,2054           11007                                    D1/64                                 
050863,000724: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
050864,000725: 
050865,000726: 12,2056           74421                           BDSU     SR1R                                  
050866,000727: 12,2057           11007                                    D1/64                                 
050867,000728: 12,2060           77671                           DDV                                            
050868,000729: 12,2061           00041                                    R1                                    
050869,000730: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
050870,000731: 
050871,000732: 
050872,000733: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
050873,000734: 12,2064           24073                                    1REV                                  
050874,000735: 12,2065           11025                                    -50SC                                 #  -50SC (+12)
050875,000736: 12,2066           40071                           DDV      BOV                                   
050876,000737: 12,2067           00011                                    ALPHA                                 
050877,000738: 12,2070           24077                                    STOREMAX                              
050878,000739: 12,2071           52166                           SQRT     GOTO                                  
050879,000740: 12,2072           24077                                    STOREMAX                              
050880,000741: 
050881,000742: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1166

050883,000744: 12,2074           11027                                    2PISC                                 #  2PISC (+6)
050884,000745: 12,2075           77600                           BOV                                            
050885,000746: 12,2076           24077                                    STOREMAX                              
050886,000747: 12,2077           00013        STOREMAX           STORE    XMAX                                  
050887,000748: 12,2100           65205                           DMP      PDDL                                  
050888,000749: 12,2101           00023                                    1/ROOTMU                              
050889,000750: 12,2102           00011                                    ALPHA                                 
050890,000751: 12,2103           65301                           NORM     PDDL                                  
050891,000752: 12,2104           00047                                    X1                                    
050892,000753: 12,2105           56257                           SL*      DDV                                   
050893,000754: 12,2106           20173                                    0          -6,1                       
050894,000755: 12,2107           50000                           BOV      BMN                                   
050895,000756: 12,2110           24124                                    MODDONE                               
050896,000757: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
050897,000758: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
050898,000759: 12,2113           02074                                    TAU.                                  
050899,000760: 12,2114           50025                           DSU      BMN                                   
050900,000761: 12,2115           00001                                    0D                                    
050901,000762: 12,2116           24124                                    MODDONE                               
050902,000763: 12,2117           77765                           SIGN                                           
050903,000764: 12,2120           02074                                    TAU.                                  
050904,000765: 12,2121           16074                           STODL    TAU.                                  
050905,000766: 12,2122           77650                           GOTO                                           
050906,000767: 12,2123           24112                                    PERIODCH                              
050907,000768: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
050908,000769: 12,2125           00001                                    0                                     
050909,000770: 12,2126           02121                                    XKEPNEW                               
050910,000771: 12,2127           00025                           STORE    X                                     
050911,000772: 12,2130           53165                           SIGN     BZE                                   
050912,000773: 12,2131           02074                                    TAU.                                  
050913,000774: 12,2132           24302                                    BADX                                  
050914,000775: 12,2133           51440                           BMN      ABS                                   
050915,000776: 12,2134           24302                                    BADX                                  
050916,000777: 12,2135           51025                           DSU      BPL                                   
050917,000778: 12,2136           00013                                    XMAX                                  
050918,000779: 12,2137           24302                                    BADX                                  
050919,000780: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
050920,000781: 12,2141           02074                                    TAU.                                  
050921,000782: 12,2142           24152                                    STOREMIN                              
050922,000783: 12,2143           57545                           DLOAD    DCOMP                                 
050923,000784: 12,2144           00013                                    XMAX                                  
050924,000785: 12,2145           14015                           STODL    XMIN                                  
050925,000786: 12,2146           24007                                    KEPZERO                               
050926,000787: 12,2147           00013                           STORE    XMAX                                  
050927,000788: 12,2150           77650                           GOTO                                           
050928,000789: 12,2151           24155                                    DXCOMP                                
050929,000790: 12,2152           77745        STOREMIN           DLOAD                                          
050930,000791: 12,2153           24007                                    KEPZERO                               
050931,000792: 12,2154           00015                           STORE    XMIN                                  
050932,000793: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1167

050934,000795: 12,2156           02074                                    TAU.                                  
050935,000796: 12,2157           11020                                    BEE22                                 
050936,000797: 12,2160           77646                           ABS                                            
050937,000798: 12,2161           16170                           STODL    EPSILONT                              
050938,000799: 12,2162           01553                                    XPREV                                 
050939,000800: 12,2163           77621        XDIFF              BDSU                                           
050940,000801: 12,2164           00025                                    X                                     
050941,000802: 12,2165           02643                           STORE    DELX                                  
050942,000803: 
050943,000804: 
050944,000805: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
050945,000806: 12,2167           00025                                    X                                     #  X=XKEP
050946,000807: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
050947,000808: 12,2171           00047                                    X1                                    
050948,000809: 12,2172           53605                           DMP      SRR*                                  
050949,000810: 12,2173           00011                                    ALPHA                                 
050950,000811: 12,2174           21573                                    0          -6,1                       
050951,000812: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
050952,000813: 12,2176           24421                                    DELTIME                               
050953,000814: 12,2177           44200                           BOV      BDSU                                  
050954,000815: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
050955,000816: 12,2201           02074                                    TAU.                                  
050956,000817: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
050957,000818: 12,2203           44246                           ABS      BDSU                                  
050958,000819: 12,2204           02170                                    EPSILONT                              
050959,000820: 12,2205           71244                           BPL      DLOAD                                 
050960,000821: 12,2206           24333                                    KEPCONVG                              
050961,000822: 12,2207           00037                                    T                                     
050962,000823: 12,2210           60225                           DSU      NORM                                  
050963,000824: 12,2211           01551                                    TC                                    
050964,000825: 12,2212           00047                                    X1                                    
050965,000826: 12,2213           60325                           PDDL     NORM                                  
050966,000827: 12,2214           02643                                    DELX                                  
050967,000828: 12,2215           00050                                    X2                                    
050968,000829: 12,2216           41260                           XSU,1    DMP                                   
050969,000830: 12,2217           00047                                    X2                                    
050970,000831: 12,2220           02645                                    DELT                                  
050971,000832: 12,2221           56257                           SLR*     DDV                                   
050972,000833: 12,2222           21202                                    1,1                                   
050973,000834: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX                PL AT 2
050974,000835: 12,2224           71244                           BPL      DLOAD                                 
050975,000836: 12,2225           24246                                    POSDELX                               
050976,000837: 12,2226           00025                                    X                                     
050977,000838: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
050978,000839: 12,2230           45221                           BDSU     DSU                                   #                               PL AT 0
050979,000840: 12,2231           00015                                    XMIN                                  
050980,000841: 12,2232           51000                           BOV      BPL                                   
050981,000842: 12,2233           24240                                    NDXCHNGE                              
050982,000843: 12,2234           24240                                    NDXCHNGE                              
050983,000844: 12,2235           52145                           DLOAD    GOTO                                  

Page 1168

050985,000846: 12,2236           00001                                    0D                                    
050986,000847: 12,2237           24260                                    NEWDELX                               
050987,000848: 
050988,000849: 
050989,000850: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
050990,000851: 12,2241           00015                                    XMIN                                  
050991,000852: 12,2242           00025                                    X                                     
050992,000853: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
050993,000854: 12,2244           11023                                    DP9/10                                
050994,000855: 12,2245           24260                                    NEWDELX                               
050995,000856: 
050996,000857: 
050997,000858: 12,2246           77745        POSDELX            DLOAD                                          
050998,000859: 12,2247           00025                                    X                                     
050999,000860: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
051000,000861: 12,2251           45221                           BDSU     DSU                                   #                               PL AT 0
051001,000862: 12,2252           00013                                    XMAX                                  
051002,000863: 12,2253           50000                           BOV      BMN                                   
051003,000864: 12,2254           24274                                    PDXCHNGE                              
051004,000865: 12,2255           24274                                    PDXCHNGE                              
051005,000866: 12,2256           77745                           DLOAD                                          
051006,000867: 12,2257           00001                                    0D                                    
051007,000868: 12,2260           02643        NEWDELX            STORE    DELX                                  
051008,000869: 12,2261           43254                           BZE      DAD                                   
051009,000870: 12,2262           24333                                    KEPCONVG                              
051010,000871: 12,2263           00025                                    X                                     
051011,000872: 12,2264           14025                           STODL    X                                     
051012,000873: 12,2265           00037                                    T                                     
051013,000874: 12,2266           01551                           STORE    TC                                    
051014,000875: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
051015,000876: 12,2270           24644                                    CHECKCTR                              
051016,000877: 12,2271           24333                                    KEPCONVG                              
051017,000878: 12,2272           77650                           GOTO                                           
051018,000879: 12,2273           24166                                    KEPLOOP                               #  ITERATE
051019,000880: 
051020,000881: 
051021,000882: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
051022,000883: 12,2275           00013                                    XMAX                                  
051023,000884: 12,2276           00025                                    X                                     
051024,000885: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
051025,000886: 12,2300           11023                                    DP9/10                                
051026,000887: 12,2301           24260                                    NEWDELX                               
051027,000888: 
051028,000889: 
051029,000890: 12,2302           70545        BADX               DLOAD    SR1                                   
051030,000891: 12,2303           00013                                    XMAX                                  
051031,000892: 12,2304           77765                           SIGN                                           
051032,000893: 12,2305           02074                                    TAU.                                  
051033,000894: 12,2306           00025                           STORE    X                                     
051034,000895: 12,2307           77650                           GOTO                                           

Page 1169

051036,000897: 12,2310           24140                                    STORBNDS                              
051037,000898: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
051038,000899: 12,2312           00025                                    X                                     
051039,000900: 12,2313           24330                                    NEGTOVFL                              
051040,000901: 12,2314           00013                           STORE    XMAX                                  
051041,000902: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
051042,000903: 12,2316           02643                                    DELX                                  
051043,000904: 12,2317           02643                           STORE    DELX                                  
051044,000905: 12,2320           44254                           BZE      BDSU                                  
051045,000906: 12,2321           02111                                    KEPRTN                                
051046,000907: 12,2322           00025                                    X                                     
051047,000908: 12,2323           14025                           STODL    X                                     
051048,000909: 12,2324           01551                                    TC                                    
051049,000910: 12,2325           00037                           STORE    T                                     
051050,000911: 12,2326           77650                           GOTO                                           
051051,000912: 12,2327           24267                                    BRNCHCTR                              
051052,000913: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
051053,000914: 12,2331           77650                           GOTO                                           
051054,000915: 12,2332           24315                                    CMNTOVFL                              
051055,000916: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
051056,000917: 12,2334           00041                                    R1                                    
051057,000918: 12,2335           74225                           DSU      VXSC                                  
051058,000919: 12,2336           00035                                    XSQC(XI)                              
051059,000920: 12,2337           02647                                    URRECT                                
051060,000921: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
051061,000922: 12,2341           00025                                    X                                     
051062,000923: 12,2342           60316                           DSQ      NORM                                  
051063,000924: 12,2343           00047                                    X1                                    
051064,000925: 12,2344           57275                           DMPR     DMPR                                  
051065,000926: 12,2345           00023                                    1/ROOTMU                              
051066,000927: 12,2346           00025                                    X                                     
051067,000928: 12,2347           53605                           DMP      SRR*                                  
051068,000929: 12,2350           00033                                    S(XI)                                 
051069,000930: 12,2351           21572                                    0          -7,1                       
051070,000931: 12,2352           77621                           BDSU                                           
051071,000932: 12,2353           00037                                    T                                     
051072,000933: 12,2354           74352                           SL1      VXSC                                  
051073,000934: 12,2355           01511                                    VRECT                                 
051074,000935: 12,2356           53372                           VSL1     VAD                                   #                               PL AT 0
051075,000936: 12,2357           77712                           VSL4                                           
051076,000937: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
051077,000938: 
051078,000939: 
051079,000940: 12,2361           60246                           ABVAL    NORM                                  
051080,000941: 12,2362           00050                                    X2                                    
051081,000942: 12,2363           14043                           STODL    RCNORM                                
051082,000943: 12,2364           00031                                    XI                                    
051083,000944: 12,2365           45275                           DMPR     DSU                                   
051084,000945: 12,2366           00033                                    S(XI)                                 
051085,000946: 12,2367           11005                                    D1/128                                

Page 1170

051087,000948: 12,2370           76405                           DMP      SL1R                                  
051088,000949: 12,2371           00021                                    ROOTMU                                
051089,000950: 12,2372           53605                           DMP      SLR*                                  
051090,000951: 12,2373           00025                                    X                                     
051091,000952: 12,2374           56601                                    0          -3,2                       
051092,000953: 12,2375           74271                           DDV      VXSC                                  
051093,000954: 12,2376           00043                                    RCNORM                                
051094,000955: 12,2377           02647                                    URRECT                                
051095,000956: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
051096,000957: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                        PL AT 6
051097,000958: 12,2402           56257                           SLR*     DDV                                   
051098,000959: 12,2403           56602                                    0          -4,2                       
051099,000960: 12,2404           00043                                    RCNORM                                
051100,000961: 12,2405           74221                           BDSU     VXSC                                  
051101,000962: 12,2406           11021                                    D1/256                                
051102,000963: 12,2407           01511                                    VRECT                                 
051103,000964: 12,2410           42455                           VAD      VSL8                                  #                               PL AT 0
051104,000965: 12,2411           77626                           STADR                                          
051105,000966: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
051106,000967: 12,2413           00037                                    T                                     
051107,000968: 12,2414           15551                           STODL    TC                                    
051108,000969: 12,2415           00025                                    X                                     
051109,000970: 12,2416           01553                           STORE    XPREV                                 
051110,000971: 12,2417           77650                           GOTO                                           
051111,000972: 12,2420           02111                                    KEPRTN                                
051112,000973: 

Page 1171

051114,000975: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
051115,000976: 12,2422           07234                           TC       POLY                                  
051116,000977: 12,2423           00010                           DEC      8          B-14                       
051117,000978: 12,2424           02525 12526                     2DEC     .083333334                            
051118,000979: 
051119,000980: 12,2426           67356 75666                     2DEC     -.266666684                            
051120,000981: 
051121,000982: 12,2430           15001 23771                     2DEC     .406349155                            
051122,000983: 
051123,000984: 12,2432           64342 43674                     2DEC     -.361198675                            
051124,000985: 
051125,000986: 12,2434           06563 04645                     2DEC     .210153242                            
051126,000987: 
051127,000988: 12,2436           75173 52672                     2DEC     -.086221951                            
051128,000989: 
051129,000990: 12,2440           00656 14331                     2DEC     .026268812                            
051130,000991: 
051131,000992: 12,2442           77633 40512                     2DEC     -.006163316                            
051132,000993: 
051133,000994: 12,2444           00023 11210                     2DEC     .001177342                            
051134,000995: 
051135,000996: 12,2446           77774 67506                     2DEC     -.000199055                            
051136,000997: 
051137,000998: 12,2450           06051                           TC       INTPRET                               
051138,000999: 12,2451           14033                           STODL    S(XI)                                 
051139,001000: 12,2452           00031                                    XI                                    
051140,001001: 12,2453           77776                           EXIT                                           
051141,001002: 12,2454           07234                           TC       POLY                                  
051142,001003: 12,2455           00010                           DEC      8          B-14                       
051143,001004: 12,2456           01000 00000                     2DEC     .031250001                            
051144,001005: 
051145,001006: 12,2460           72525 52506                     2DEC     -.166666719                            
051146,001007: 
051147,001008: 12,2462           13301 15337                     2DEC     .355555413                            
051148,001009: 
051149,001010: 12,2464           62776 54733                     2DEC     -.406347410                            
051150,001011: 
051151,001012: 12,2466           11176 13267                     2DEC     .288962094                            
051152,001013: 
051153,001014: 12,2470           73410 51674                     2DEC     -.140117894                            
051154,001015: 
051155,001016: 12,2472           01446 33641                     2DEC     .049247387                            
051156,001017: 
051157,001018: 12,2474           77451 65233                     2DEC     -.013081923                            
051158,001019: 
051159,001020: 12,2476           00055 37266                     2DEC     .002806389                            
051160,001021: 
051161,001022: 12,2500           77767 52336                     2DEC     -.000529414                            
051162,001023: 
051163,001024: 12,2502           06051                           TC       INTPRET                               

Page 1172

051165,001026: 12,2503           53605                           DMP      SRR*                                  #                               PL AT 0
051166,001027: 12,2504           00001                                    0D                                    
051167,001028: 12,2505           21574                                    0          -5,1                       
051168,001029: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
051169,001030: 12,2507           72405                           DMP      SL1                                   
051170,001031: 12,2510           00043                                    KEPC1                                 
051171,001032: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
051172,001033: 12,2512           21615                                    TPMODE                                #                               PL AT 0,3
051173,001034: 12,2513           53605                           DMP      SRR*                                  
051174,001035: 12,2514           00033                                    S(XI)                                 
051175,001036: 12,2515           21574                                    0          -5,1                       
051176,001037: 12,2516           72405                           DMP      SL1                                   
051177,001038: 12,2517           00045                                    KEPC2                                 
051178,001039: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
051179,001040: 12,2521           21615                                    TPMODE                                
051180,001041: 12,2522           00041                                    R1                                    
051181,001042: 12,2523           76261                           SR       TAD                                   #                               PL AT 3
051182,001043: 12,2524           20607                                    6                                     
051183,001044: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
051184,001045: 12,2526           00047                                    X1                                    
051185,001046: 12,2527           00025                                    X                                     
051186,001047: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46) PL AT 0
051187,001048: 12,2531           20576                                    0          -3,1                       
051188,001049: 12,2532           57232                           SL4R     DMPR                                  
051189,001050: 12,2533           00023                                    1/ROOTMU                              
051190,001051: 12,2534           00037                           STORE    T                                     
051191,001052: 12,2535           77616                           RVQ                                            
051192,001053: 

Page 1173

051194,001055: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
051195,001056: 12,2537           00614                                    SLOPESW                               
051196,001057: 12,2540           24606                                    FIRSTIME                              
051197,001058: 12,2541           00037                                    DEP                                   
051198,001059: 12,2542           60225                           DSU      NORM                                  
051199,001060: 12,2543           02762                                    DEPREV                                
051200,001061: 12,2544           00047                                    X1                                    
051201,001062: 12,2545           60325                           PDDL     NORM                                  
051202,001063: 12,2546           00015                                    DELINDEP                              
051203,001064: 12,2547           00050                                    X2                                    
051204,001065: 12,2550           41260                           XSU,1    DMP                                   
051205,001066: 12,2551           00047                                    X2                                    
051206,001067: 12,2552           02760                                    DELDEP                                
051207,001068: 12,2553           56257                           SLR*     DDV                                   #                               PL UP 2
051208,001069: 12,2554           21202                                    1,1                                   
051209,001070: 12,2555           43142                           SR1      BOFF                                  
051210,001071: 12,2556           04351                                    ORDERSW                               
051211,001072: 12,2557           24562                                    SGNCHECK                              
051212,001073: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
051213,001074: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
051214,001075: 
051215,001076: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP               PL DOWN 2
051216,001077: 12,2563           24620                                    POSDEL                                
051217,001078: 12,2564           43145                           DLOAD    BON                                   
051218,001079: 12,2565           02766                                    INDEP                                 
051219,001080: 12,2566           04311                                    ORDERSW                               
051220,001081: 12,2567           24571                                    MINCHECK                              
051221,001082: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
051222,001083: 
051223,001084: 12,2571           45221        MINCHECK           BDSU     DSU                                   
051224,001085: 12,2572           00011                                    MIN                                   
051225,001086: 12,2573           51000                           BOV      BPL                                   
051226,001087: 12,2574           24600                                    MODNGDEL                              
051227,001088: 12,2575           24600                                    MODNGDEL                              
051228,001089: 12,2576           77650                           GOTO                                           
051229,001090: 12,2577           24632                                    DELOK                                 
051230,001091: 
051231,001092: 
051232,001093: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
051233,001094: 12,2601           00011                                    MIN                                   
051234,001095: 12,2602           02766                                    INDEP                                 
051235,001096: 12,2603           52005                           DMP      GOTO                                  
051236,001097: 12,2604           11023                                    DP9/10                                
051237,001098: 12,2605           24634                                    NEWDEL                                
051238,001099: 
051239,001100: 
051240,001101: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
051241,001102: 12,2607           00011                                    MIN                                   
051242,001103: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
051243,001104: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1174

051245,001106: 12,2612           00017                                    MAX                                   
051246,001107: 12,2613           00051                                    TWEEKIT                               
051247,001108: 12,2614           77625                           DSU                                            
051248,001109: 12,2615           52165                           SIGN     GOTO                                  
051249,001110: 12,2616           02760                                    DELDEP                                
051250,001111: 12,2617           24562                                    SGNCHECK                              
051251,001112: 
051252,001113: 
051253,001114: 12,2620           43145        POSDEL             DLOAD    BON                                   
051254,001115: 12,2621           02766                                    INDEP                                 
051255,001116: 12,2622           04311                                    ORDERSW                               
051256,001117: 12,2623           24625                                    MAXCHECK                              
051257,001118: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
051258,001119: 
051259,001120: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
051260,001121: 12,2626           00017                                    MAX                                   
051261,001122: 12,2627           50000                           BOV      BMN                                   
051262,001123: 12,2630           24636                                    MODPSDEL                              
051263,001124: 12,2631           24636                                    MODPSDEL                              
051264,001125: 12,2632           77745        DELOK              DLOAD                                          
051265,001126: 12,2633           00001                                    0D                                    
051266,001127: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
051267,001128: 12,2635           77616                           RVQ                                            
051268,001129: 
051269,001130: 
051270,001131: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
051271,001132: 12,2637           00017                                    MAX                                   
051272,001133: 12,2640           02766                                    INDEP                                 
051273,001134: 12,2641           52005                           DMP      GOTO                                  
051274,001135: 12,2642           11023                                    DP9/10                                
051275,001136: 12,2643           24634                                    NEWDEL                                
051276,001137: 
051277,001138: 
051278,001139: 12,2644           44753        CHECKCTR           CS       ONE                                   
051279,001140: 12,2645           50120                           INDEX    FIXLOC                                
051280,001141: 12,2646           60026                           AD       ITERCTR                               
051281,001142: 12,2647           50120                           INDEX    FIXLOC                                
051282,001143: 12,2650           54026                           TS       ITERCTR                               
051283,001144: 12,2651           54154                           TS       MPAC                                  
051284,001145: 12,2652           06073                           TC       DANZIG                                
051285,001146: 

Page 1175

051287,001148: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
051288,001149: 12,2654           00041                                    R1                                    
051289,001150: 12,2655           74225                           DSU      VXSC                                  
051290,001151: 12,2656           00035                                    XSQC(XI)                              
051291,001152: 12,2657           02722                                    UR1                                   
051292,001153: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
051293,001154: 12,2661           00025                                    X                                     
051294,001155: 12,2662           60316                           DSQ      NORM                                  
051295,001156: 12,2663           00047                                    X1                                    
051296,001157: 12,2664           57275                           DMPR     DMPR                                  
051297,001158: 12,2665           00023                                    1/ROOTMU                              
051298,001159: 12,2666           00025                                    X                                     
051299,001160: 12,2667           53605                           DMP      SRR*                                  
051300,001161: 12,2670           00033                                    S(XI)                                 
051301,001162: 12,2671           21572                                    0          -7,1                       
051302,001163: 12,2672           77621                           BDSU                                           
051303,001164: 12,2673           00037                                    T                                     
051304,001165: 12,2674           74352                           SL1      VXSC                                  
051305,001166: 12,2675           02744                                    VVEC                                  
051306,001167: 12,2676           53372                           VSL1     VAD                                   #                               PL AT 0
051307,001168: 12,2677           41512                           VSL4     PUSH                                  
051308,001169: 12,2700           77646                           ABVAL                                          
051309,001170: 12,2701           77701        LAMENTER           NORM                                           
051310,001171: 12,2702           00047                                    X1                                    
051311,001172: 12,2703           16720                           STODL    R2                                    
051312,001173: 12,2704           00031                                    XI                                    
051313,001174: 12,2705           45205                           DMP      DSU                                   
051314,001175: 12,2706           00033                                    S(XI)                                 
051315,001176: 12,2707           11005                                    D1/128                                
051316,001177: 12,2710           76405                           DMP      SL1R                                  
051317,001178: 12,2711           00021                                    ROOTMU                                
051318,001179: 12,2712           53605                           DMP      SLR*                                  
051319,001180: 12,2713           00025                                    X                                     
051320,001181: 12,2714           21176                                    0          -3,1                       
051321,001182: 12,2715           74271                           DDV      VXSC                                  
051322,001183: 12,2716           02720                                    R2                                    
051323,001184: 12,2717           02722                                    UR1                                   
051324,001185: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)       PL AT 12
051325,001186: 12,2721           00035                                    XSQC(XI)                              
051326,001187: 12,2722           56257                           SLR*     DDV                                   
051327,001188: 12,2723           21175                                    0          -4,1                       
051328,001189: 12,2724           02720                                    R2                                    
051329,001190: 12,2725           77621                           BDSU                                           
051330,001191: 12,2726           11021                                    D1/256                                
051331,001192: 12,2727           53361                           VXSC     VAD                                   
051332,001193: 12,2730           02744                                    VVEC                                  #                               PL AT 6
051333,001194: 12,2731           43412                           VSL8     RVQ                                   
051334,001195: 

Page 1176

051336,001197: 04,2000                                           SETLOC   CONICS1                               
051337,001198: 04,2000                                           BANK                                           
051338,001199: 
051339,001200: 04,3001                                           COUNT*   $$/CONIC                              
051340,001201:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
051341,001202: 04,3001           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
051342,001203: 04,3002           04000 00000  D1/8               2DEC     1.0        B-3                        
051343,001204: 
051344,001205: 04,3004           00200 00000  D1/128             2DEC     1.0        B-7                        
051345,001206: 
051346,001207: 04,3006           00400 00000  D1/64              2DEC     1.0        B-6                        
051347,001208: 
051348,001209: 04,3010           10000 00000  D1/4               2DEC     1.0        B-2                        
051349,001210: 
051350,001211: 04,3012           02000 00000  D1/16              2DEC     1.0        B-4                        
051351,001212: 
051352,001213: 04,3014           01000 00000  D1/32              2DEC     1.0        B-5                        
051353,001214: 
051354,001215: 04,3016           00020 00000  D1/1024            2DEC     1.0        B-10                       
051355,001216: 
051356,001217: 04,3020           00100 00000  D1/256             2DEC     1.0        B-8                        
051357,001218: 
051358,001219: 04,3022           34631 23146  DP9/10             2DEC     .9                                    
051359,001220: 
051360,001221: 04,3024  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
051361,001222: 04,3024           77467 77777  -50SC              2DEC     -50.0      B-12                       
051362,001223: 
051363,001224: 04,3026           03110 17665  2PISC              2DEC     6.28318530 B-6                        
051364,001225: 
051365,001226: 04,3030  04,3013               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
051366,001227: 04,3030  04,3017               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
051367,001228: 04,3030           00000 00001  ONEBIT             2DEC     1.0        B-28                       
051368,001229: 
051369,001230: 04,3032           37767 37737  COGUPLIM           2DEC     .999511597                            
051370,001231: 
051371,001232: 04,3034           40010 40040  COGLOLIM           2DEC     -.999511597                            
051372,001233: 
051373,001234: 

Page 1177

051375,001236: 12,2000                                           SETLOC   CONICS                                
051376,001237: 12,2000                                           BANK                                           
051377,001238: 
051378,001239: 12,2732                                           COUNT*   $$/CONIC                              
051379,001240: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                               PL AT 0
051380,001241: 12,2733           02710                                    RTNTT                                 
051381,001242: 12,2734           00001                                    0                                     
051382,001243: 12,2735           77600                           BOV                                            
051383,001244: 12,2736           24737                                    +1                                    
051384,001245: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL         PL AT 6
051385,001246: 12,2740           02655                                    RVEC                                  
051386,001247: 12,2741           02744                                    VVEC                                  
051387,001248: 12,2742           77624                           CALL                                           
051388,001249: 12,2743           11036                                    PARAM                                 
051389,001250: 12,2744           45000                           BOV      CALL                                  #                               PL AT 0
051390,001251: 12,2745           24764                                    COGAOVFL                              
051391,001252: 12,2746           24767                                    GETX                                  
051392,001253: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
051393,001254: 12,2750           00031                                    XI                                    
051394,001255: 12,2751           04310                                    INFINFLG                              
051395,001256: 12,2752           25752                                    ABTCONIC                              
051396,001257: 12,2753           45014                           CLEAR    CALL                                  
051397,001258: 12,2754           04273                                    COGAFLAG                              
051398,001259: 12,2755           24421                                    DELTIME                               
051399,001260: 12,2756           45014                           BON      CALL                                  
051400,001261: 12,2757           03706                                    RVSW                                  
051401,001262: 12,2760           02710                                    RTNTT                                 
051402,001263: 12,2761           24653                                    NEWSTATE                              
051403,001264: 12,2762           77650                           GOTO                                           
051404,001265: 12,2763           02710                                    RTNTT                                 
051405,001266: 
051406,001267: 
051407,001268: 12,2764           77614        COGAOVFL           SETGO                                          
051408,001269: 12,2765           04033                                    COGAFLAG                              
051409,001270: 12,2766           25752                                    ABTCONIC                              
051410,001271: 04,3036                                           BANK     4                                     
051411,001272: 04,2000                                           SETLOC   CONICS1                               
051412,001273: 04,2000                                           BANK                                           
051413,001274: 04,3036                                           COUNT*   $$/CONIC                              
051414,001275: 04,3036           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC         PL AT 6
051415,001276: 04,3037           02753                                    RTNPRM                                
051416,001277: 04,3040           03665                                    NORMSW                                
051417,001278: 04,3041           77614                           CLEAR                                          
051418,001279: 04,3042           04273                                    COGAFLAG                              
051419,001280: 04,3043           45131                           SSP      CALL                                  
051420,001281: 04,3044           02673                                    GEOMSGN                               
051421,001282: 04,3045           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
051422,001283: 04,3046           11102                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1) PL AT 2
051423,001284: 04,3047           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)           PL AT 0
051424,001285: 04,3050           56261                           SR       DDV                                   

Page 1178

051426,001287: 04,3051           20606                                    5                                     
051427,001288: 
051428,001289: 04,3052           00045                                    36D                                   
051429,001290: 04,3053           32766                           STOVL*   COGA                                  
051430,001291: 04,3054           10005                                    MUTABLE,1                             
051431,001292: 04,3055           14017                           STODL    1/MU                                  
051432,001293: 04,3056           02720                                    MAGVEC2                               
051433,001294: 04,3057           60316                           DSQ      NORM                                  
051434,001295: 04,3060           00047                                    X1                                    
051435,001296: 04,3061           41275                           DMPR     DMP                                   
051436,001297: 04,3062           00017                                    1/MU                                  
051437,001298: 04,3063           00041                                    R1                                    
051438,001299: 04,3064           77657                           SRR*                                           
051439,001300: 04,3065           21576                                    0          -3,1                       
051440,001301: 04,3066           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)           PL AT 2
051441,001302: 04,3067           11015                                    D1/32                                 
051442,001303: 04,3070           16742                           STODL    R1A                                   #  R1A (+6)                     PL AT 0
051443,001304: 
051444,001305: 04,3071           60205                           DMP      NORM                                  
051445,001306: 04,3072           00045                                    36D                                   
051446,001307: 04,3073           00047                                    X1                                    
051447,001308: 04,3074           53605                           DMP      SR*                                   
051448,001309: 04,3075           00045                                    36D                                   
051449,001310: 04,3076           20575                                    0          -4,1                       
051450,001311: 04,3077           02740                           STORE    P                                     #  P (+4)
051451,001312: 04,3100           77650                           GOTO                                           
051452,001313: 04,3101           02753                                    RTNPRM                                
051453,001314: 

Page 1179

051455,001316: 04,3102           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC         PL AT 6
051456,001317: 04,3103           16712                           STODL    U2                                    #  U2 (+1)
051457,001318: 04,3104           00045                                    36D                                   
051458,001319: 04,3105           26720                           STOVL    MAGVEC2                               #                               PL AT 0
051459,001320: 04,3106           77656                           UNIT                                           
051460,001321: 04,3107           02722                           STORE    UR1                                   #  UR1 (+1)
051461,001322: 04,3110           72441                           DOT      SL1                                   
051462,001323: 04,3111           02712                                    U2                                    
051463,001324: 04,3112           77725                           PDDL                                           #  OD=CSTH (+1)                 PL AT 2
051464,001325: 04,3113           00045                                    36D                                   
051465,001326: 04,3114           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
051466,001327: 04,3115           02722                                    UR1                                   
051467,001328: 04,3116           76435                           VXV      VSL1                                  
051468,001329: 04,3117           02712                                    U2                                    
051469,001330: 04,3120           75214                           BON      SIGN                                  
051470,001331: 04,3121           03705                                    NORMSW                                
051471,001332: 04,3122           11134                                    HAVENORM                              
051472,001333: 04,3123           02673                                    GEOMSGN                               
051473,001334: 04,3124           40056                           UNIT     BOV                                   
051474,001335: 04,3125           11132                                    COLINEAR                              
051475,001336: 04,3126           16674        UNITNORM           STODL    UN                                    #  UN (+1)
051476,001337: 04,3127           00045                                    36D                                   
051477,001338: 04,3130           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
051478,001339: 04,3131           02673                                    GEOMSGN                               
051479,001340: 
051480,001341: 
051481,001342: 04,3132           52162        COLINEAR           VSR1     GOTO                                  
051482,001343: 04,3133           11126                                    UNITNORM                              
051483,001344: 
051484,001345: 
051485,001346: 04,3134           75246        HAVENORM           ABVAL    SIGN                                  
051486,001347: 04,3135           02673                                    GEOMSGN                               
051487,001348: 04,3136           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
051488,001349: 

Page 1180

051490,001351: 12,2767                                           BANK     12                                    
051491,001352: 12,2000                                           SETLOC   CONICS                                
051492,001353: 12,2000                                           BANK                                           
051493,001354: 
051494,001355: 12,2767                                           COUNT*   $$/CONIC                              
051495,001356: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
051496,001357: 12,2770           00003                                    3                                     
051497,001358: 12,2771           00052                                    S2                                    
051498,001359: 12,2772           00001                                    1                                     
051499,001360: 12,2773           77614                           CLEAR                                          
051500,001361: 12,2774           04276                                    360SW                                 
051501,001362: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                       PL AT 2
051502,001363: 12,2776           02732                                    CSTH                                  
051503,001364: 12,2777           44342                           SR1      BDSU                                  
051504,001365: 12,3000           11011                                    D1/4                                  
051505,001366: 12,3001           54325                           PDDL     SRR                                   #                               PL AT 4D
051506,001367: 12,3002           02730                                    SNTH                                  
051507,001368: 12,3003           21607                                    6                                     
051508,001369: 12,3004           77671                           DDV                                            #                               PL AT 2
051509,001370: 12,3005           77600                           BOV                                            
051510,001371: 12,3006           25122                                    360CHECK                              
051511,001372: 12,3007           41225                           DSU      DMP                                   
051512,001373: 12,3010           02766                                    COGA                                  #                                   PL AT 0
051513,001374: 12,3011           40132                           SL2R     BOV                                   
051514,001375: 12,3012           25122                                    360CHECK                              
051515,001376: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                        PL AT 2
051516,001377: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                     PL AT 5
051517,001378: 12,3015           00155                                    MPAC                                  
051518,001379: 12,3016           02742                                    R1A                                   
051519,001380: 12,3017           76202                           SR4      TAD                                   #                               PL AT 2
051520,001381: 12,3020           75440                           BMN      SQRT                                  
051521,001382: 12,3021           25205                                    INFINITY                              
051522,001383: 12,3022           43306                           ROUND    DAD                                   #                               PL AT 0D
051523,001384: 12,3023           61000                           BOV      TIX,2                                 
051524,001385: 12,3024           25120                                    RESETX2                               
051525,001386: 12,3025           25013                                    WLOOP                                 
051526,001387: 
051527,001388: 
051528,001389: 12,3026           40065                           BDDV     BOV                                   
051529,001390: 12,3027           11005                                    D1/128                                
051530,001391: 12,3030           25205                                    INFINITY                              
051531,001392: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)     PL AT 2
051532,001393: 12,3032           25205                                    INFINITY                              
051533,001394: 12,3033           77716                           DSQ                                            
051534,001395: 12,3034           41301                           NORM     DMP                                   
051535,001396: 12,3035           00047                                    X1                                    
051536,001397: 12,3036           02742                                    R1A                                   
051537,001398: 12,3037           77457                           SRR*     EXIT                                  
051538,001399: 12,3040           21567                                    0          -10D,1                     
051539,001400: 12,3041           07234                           TC       POLY                                  

Page 1181

051541,001402: 12,3042           00005                           DEC      5          B-14                       
051542,001403: 12,3043           20000 00000                     2DEC     .5                                    
051543,001404: 
051544,001405: 12,3045           72525 52471                     2DEC     -.166666770                            
051545,001406: 
051546,001407: 12,3047           03146 15003                     2DEC     .100000392                            
051547,001408: 
051548,001409: 12,3051           75556 45210                     2DEC     -.071401086                            
051549,001410: 
051550,001411: 12,3053           01615 13553                     2DEC     .055503292                            
051551,001412: 
051552,001413: 12,3055           76371 63777                     2DEC     -.047264098                            
051553,001414: 
051554,001415: 12,3057           01232 27367                     2DEC     .040694204                            
051555,001416: 
051556,001417: 12,3061           06051                           TC       INTPRET                               
051557,001418: 12,3062           76405                           DMP      SL1R                                  #                               PL AT 0D
051558,001419: 12,3063           43006                           PUSH     BON                                   
051559,001420: 12,3064           04316                                    360SW                                 
051560,001421: 12,3065           25172                                    TRUE360X                              
051561,001422: 12,3066           60316        XCOMMON            DSQ      NORM                                  
051562,001423: 12,3067           00047                                    X1                                    
051563,001424: 12,3070           53605                           DMP      SRR*                                  
051564,001425: 12,3071           02742                                    R1A                                   
051565,001426: 12,3072           21565                                    0          -12D,1                     
051566,001427: 12,3073           14031                           STODL    XI                                    #  XI (+6)
051567,001428: 
051568,001429: 
051569,001430: 12,3074           00041                                    R1                                    
051570,001431: 12,3075           75542                           SR1      SQRT                                  
051571,001432: 12,3076           41306                           ROUND    DMP                                   
051572,001433: 12,3077           77632                           SL4R                                           #                               PL AT 0
051573,001434: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
051574,001435: 
051575,001436: 
051576,001437: 
051577,001438: 12,3101           60316                           DSQ      NORM                                  
051578,001439: 12,3102           00047                                    X1                                    
051579,001440: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)      PL AT 2
051580,001441: 12,3104           02740                                    P                                     
051581,001442: 12,3105           00041                                    R1                                    
051582,001443: 12,3106           75452                           SL3      SQRT                                  
051583,001444: 12,3107           56405                           DMP      SL3R                                  
051584,001445: 12,3110           02766                                    COGA                                  
051585,001446: 12,3111           14043                           STODL    KEPC1                                 
051586,001447: 12,3112           02742                                    R1A                                   
051587,001448: 12,3113           43021                           BDSU     CLEAR                                 
051588,001449: 12,3114           11007                                    D1/64                                 
051589,001450: 12,3115           04270                                    INFINFLG                              
051590,001451: 12,3116           00045                           STORE    KEPC2                                 
051591,001452: 12,3117           77616                           RVQ                                            
051592,001453: 

Page 1182

051594,001455: 12,3120           77774        RESETX2            AXT,2                                          
051595,001456: 12,3121           00003                                    3                                     
051596,001457: 
051597,001458: 12,3122           51001        360CHECK           SETPD    BPL                                   
051598,001459: 12,3123           00001                                    0D                                    
051599,001460: 12,3124           25127                                    INVRSEQN                              
051600,001461: 12,3125           77614                           SET                                            
051601,001462: 12,3126           04076                                    360SW                                 
051602,001463: 
051603,001464: 
051604,001465: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
051605,001466: 12,3130           02740                                    P                                     
051606,001467: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)                  PL AT 2
051607,001468: 12,3132           02730                                    SNTH                                  
051608,001469: 12,3133           02766                                    COGA                                  
051609,001470: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)                PL AT 4
051610,001471: 12,3135           02732                                    CSTH                                  
051611,001472: 12,3136           43202                           SR4      DAD                                   
051612,001473: 12,3137           11015                                    D1/32                                 
051613,001474: 12,3140           41225                           DSU      DMP                                   #                               PL AT 2,0
051614,001475: 12,3141           55301                           NORM     BDDV                                  
051615,001476: 12,3142           00047                                    X1                                    
051616,001477: 12,3143           02730                                    SNTH                                  
051617,001478: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
051618,001479: 12,3145           21174                                    0          -5,1                       
051619,001480: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                  PL AT 2
051620,001481: 12,3147           14043                           STODL    34D                                   
051621,001482: 12,3150           11013                                    D1/16                                 
051622,001483: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                        PL AT 4
051623,001484: 12,3152           65234                           RTB      PDDL                                  #                               PL AT 7
051624,001485: 12,3153           21615                                    TPMODE                                
051625,001486: 12,3154           02742                                    R1A                                   
051626,001487: 12,3155           40405                           DMP      SR4                                   
051627,001488: 12,3156           00043                                    34D                                   
051628,001489: 12,3157           77771                           TAD                                            #                                   PL AT 4
051629,001490: 12,3160           75440                           BMN      SQRT                                  
051630,001491: 12,3161           25205                                    INFINITY                              
051631,001492: 12,3162           77615                           DAD                                            #                               PL AT 2
051632,001493: 12,3163           60304                           TIX,2    NORM                                  
051633,001494: 12,3164           25151                                    1/WLOOP                               
051634,001495: 12,3165           00047                                    X1                                    
051635,001496: 12,3166           77665                           BDDV                                           #                                   PL AT 0
051636,001497: 12,3167           52057                           SLR*     GOTO                                  
051637,001498: 12,3170           21172                                    0          -7,1                       
051638,001499: 12,3171           25031                                    POLYCOEF                              
051639,001500: 
051640,001501: 
051641,001502: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
051642,001503: 12,3173           02742                                    R1A                                   

Page 1183

051644,001505: 12,3174           25205                                    INFINITY                              
051645,001506: 12,3175           60366                           SQRT     NORM                                  
051646,001507: 12,3176           00047                                    X1                                    
051647,001508: 12,3177           53665                           BDDV     SL*                                   
051648,001509: 12,3200           11027                                    2PISC                                 
051649,001510: 12,3201           20176                                    0          -3,1                       
051650,001511: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X          PL AT 0,2
051651,001512: 12,3203           77650                           GOTO                                           
051652,001513: 12,3204           25066                                    XCOMMON                               
051653,001514: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
051654,001515: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
051655,001516: 12,3207           25210                                    OVFLCLR                               
051656,001517: 12,3210           43414        OVFLCLR            SET      RVQ                                   
051657,001518: 12,3211           04070                                    INFINFLG                              
051658,001519: 

Page 1184

051660,001521: 12,3212           40220        LAMBERT            STQ      SETPD                                 
051661,001522: 12,3213           02710                                    RTNLAMB                               
051662,001523: 12,3214           00001                                    0D                                    
051663,001524: 12,3215           77600                           BOV                                            
051664,001525: 12,3216           25217                                    +1                                    
051665,001526: 12,3217           76614                           CLEAR    VLOAD*                                
051666,001527: 12,3220           02674                                    SOLNSW                                
051667,001528: 12,3221           10005                                    MUTABLE,1                             
051668,001529: 12,3222           14017                           STODL    1/MU                                  
051669,001530: 12,3223           02671                                    TDESIRED                              
051670,001531: 12,3224           77675                           DMPR                                           
051671,001532: 12,3225           11014                                    BEE19                                 
051672,001533: 12,3226           02764                           STORE    EPSILONL                              
051673,001534: 12,3227           77214                           SET      VLOAD                                 
051674,001535: 12,3230           00474                                    SLOPESW                               
051675,001536: 12,3231           02655                                    R1VEC                                 
051676,001537: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)        PL AT 6
051677,001538: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
051678,001539: 12,3234           11102                                    GEOM                                  
051679,001540: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                 PL AT 2
051680,001541: 12,3236           02720                                    MAGVEC2                               
051681,001542: 12,3237           65301                           NORM     PDDL                                  #                               PL AT 4
051682,001543: 12,3240           00047                                    X1                                    
051683,001544: 12,3241           00041                                    R1                                    
051684,001545: 12,3242           56342                           SR1      DDV                                   #                               PL AT 2
051685,001546: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)  PL AT 0,2
051686,001547: 12,3244           20173                                    0          -6,1                       
051687,001548: 12,3245           77626                           STADR                                          
051688,001549: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
051689,001550: 12,3247           44342                           SR1      BDSU                                  
051690,001551: 12,3250           11011                                    D1/4                                  
051691,001552: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
051692,001553: 
051693,001554: 12,3252           53106                           ROUND    BZE                                   
051694,001555: 12,3253           25473                                    360LAMB                               
051695,001556: 12,3254           65301                           NORM     PDDL                                  #                               PL AT 4
051696,001557: 12,3255           00047                                    X1                                    
051697,001558: 12,3256           00001                                    0D                                    
051698,001559: 12,3257           56342                           SR1      DDV                                   #                               PL AT 2
051699,001560: 12,3260           75457                           SL*      SQRT                                  
051700,001561: 12,3261           20176                                    0          -3,1                       
051701,001562: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5) PL AT 4
051702,001563: 12,3263           02730                                    SNTH                                  
051703,001564: 12,3264           20607                                    6                                     
051704,001565: 12,3265           43271                           DDV      DAD                                   #                               PL AT 2
051705,001566: 12,3266           02734                                    1-CSTH                                
051706,001567: 12,3267           77626                           STADR                                          
051707,001568: 12,3270           77760                           STORE    COGAMAX                               
051708,001569: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
051709,001570: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1185

051711,001572: 12,3273           25302                                    MAXCOGA                               #    THIS WOULD BE RESET IN LAMBLOOP
051712,001573: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
051713,001574: 12,3275           11033                                    COGUPLIM                              
051714,001575: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
051715,001576: 12,3277           77745        UPLIM              DLOAD                                          
051716,001577: 12,3300           11033                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
051717,001578: 12,3301           00017                           STORE    COGAMAX                               #    NOT CAUSING OVFL IN R1A CALCULATION
051718,001579: 12,3302           77745        MAXCOGA            DLOAD                                          
051719,001580: 12,3303           02732                                    CSTH                                  
051720,001581: 12,3304           45261                           SR       DSU                                   #                               PL AT 0
051721,001582: 12,3305           20607                                    6                                     
051722,001583: 12,3306           77626                           STADR                                          
051723,001584: 12,3307           61041                           STODL    CSTH-RHO                              
051724,001585: 12,3310           02673                                    GEOMSGN                               
051725,001586: 12,3311           71240                           BMN      DLOAD                                 
051726,001587: 12,3312           25513                                    LOLIM                                 
051727,001588: 12,3313           02736                                    CSTH-RHO                              
051728,001589: 12,3314           56352                           SL1      DDV                                   
051729,001590: 12,3315           02730                                    SNTH                                  
051730,001591: 12,3316           77600                           BOV                                            
051731,001592: 12,3317           25513                                    LOLIM                                 
051732,001593: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
051733,001594: 12,3321           66214                           BON      SSP                                   
051734,001595: 12,3322           00715                                    GUESSW                                
051735,001596: 12,3323           25477                                    NOGUESS                               
051736,001597: 12,3324           00051                                    TWEEKIT                               
051737,001598: 12,3325           00001                                    00001                                 
051738,001599: 12,3326           77745                           DLOAD                                          
051739,001600: 12,3327           02766                                    COGA                                  
051740,001601: 
051741,001602: 
051742,001603: 12,3330           77605        LAMBLOOP           DMP                                            
051743,001604: 12,3331           02730                                    SNTH                                  
051744,001605: 12,3332           45342                           SR1      DSU                                   
051745,001606: 12,3333           02736                                    CSTH-RHO                              
051746,001607: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
051747,001608: 12,3335           00047                                    X1                                    
051748,001609: 12,3336           02734                                    1-CSTH                                
051749,001610: 12,3337           56257                           SL*      DDV                                   #  1-CSTH  (+2)                 PL AT 0
051750,001611: 12,3340           20170                                    0          -9D,1                      
051751,001612: 12,3341           53040                           BMN      BZE                                   
051752,001613: 12,3342           25427                                    NEGP                                  
051753,001614: 12,3343           25427                                    NEGP                                  
051754,001615: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
051755,001616: 12,3345           02766                                    COGA                                  
051756,001617: 12,3346           43316                           DSQ      DAD                                   
051757,001618: 12,3347           11017                                    D1/1024                               
051758,001619: 12,3350           41301                           NORM     DMP                                   
051759,001620: 12,3351           00047                                    X1                                    
051760,001621: 12,3352           02740                                    P                                     

Page 1186

051762,001623: 12,3353           44257                           SR*      BDSU                                  
051763,001624: 12,3354           20571                                    0          -8D,1                      
051764,001625: 12,3355           11015                                    D1/32                                 
051765,001626: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
051766,001627: 
051767,001628: 12,3357           02740                                    P                                     
051768,001629: 12,3360           45000                           BOV      CALL                                  
051769,001630: 12,3361           25432                                    HIENERGY                              
051770,001631: 12,3362           24767                                    GETX                                  
051771,001632: 12,3363           77745                           DLOAD                                          
051772,001633: 12,3364           00037                                    T                                     
051773,001634: 12,3365           16762                           STODL    TPREV                                 
051774,001635: 12,3366           00031                                    XI                                    
051775,001636: 12,3367           45014                           BON      CALL                                  
051776,001637: 12,3370           04310                                    INFINFLG                              
051777,001638: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
051778,001639: 12,3372           24421                                    DELTIME                               
051779,001640: 12,3373           44200                           BOV      BDSU                                  
051780,001641: 12,3374           25447                                    BIGTIME                               
051781,001642: 12,3375           02671                                    TDESIRED                              
051782,001643: 12,3376           02760                           STORE    TERRLAMB                              
051783,001644: 12,3377           44246                           ABS      BDSU                                  
051784,001645: 12,3400           02764                                    EPSILONL                              
051785,001646: 12,3401           47044                           BPL      RTB                                   
051786,001647: 12,3402           25516                                    INITV                                 
051787,001648: 12,3403           24644                                    CHECKCTR                              
051788,001649: 12,3404           43030                           BHIZ     BON                                   
051789,001650: 12,3405           25460                                    SUFFCHEK                              
051790,001651: 12,3406           00714                                    SLOPESW                               
051791,001652: 12,3407           25415                                    GOITER                                
051792,001653: 12,3410           45345                           DLOAD    DSU                                   
051793,001654: 12,3411           00037                                    T                                     
051794,001655: 12,3412           02762                                    TPREV                                 
051795,001656: 12,3413           77654                           BZE                                            
051796,001657: 12,3414           25460                                    SUFFCHEK                              
051797,001658: 12,3415           77624        GOITER             CALL                                           
051798,001659: 12,3416           24536                                    ITERATOR                              
051799,001660: 12,3417           53145                           DLOAD    BZE                                   
051800,001661: 12,3420           00155                                    MPAC                                  
051801,001662: 12,3421           25460                                    SUFFCHEK                              
051802,001663: 12,3422           77615                           DAD                                            
051803,001664: 12,3423           02766                                    COGA                                  
051804,001665: 12,3424           02766                           STORE    COGA                                  
051805,001666: 12,3425           77650                           GOTO                                           
051806,001667: 12,3426           25330                                    LAMBLOOP                              
051807,001668: 
051808,001669: 
051809,001670: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
051810,001671: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
051811,001672: 12,3431           25452                                    LOENERGY                              
051812,001673: 

Page 1187

051814,001675: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
051815,001676: 12,3433           00001                                    0                                     
051816,001677: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
051817,001678: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
051818,001679: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
051819,001680: 12,3437           00015                                    DCOGA                                 
051820,001681: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
051821,001682: 12,3441           44254                           BZE      BDSU                                  
051822,001683: 12,3442           25460                                    SUFFCHEK                              
051823,001684: 12,3443           02766                                    COGA                                  
051824,001685: 12,3444           02766                           STORE    COGA                                  
051825,001686: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
051826,001687: 12,3446           25330                                    LAMBLOOP                              
051827,001688: 
051828,001689: 
051829,001690: 12,3447           77745        BIGTIME            DLOAD                                          
051830,001691: 12,3450           02762                                    TPREV                                 
051831,001692: 12,3451           00037                           STORE    T                                     
051832,001693: 
051833,001694: 
051834,001695: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
051835,001696: 12,3453           00001                                    0                                     
051836,001697: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
051837,001698: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
051838,001699: 12,3456           77650                           GOTO                                           
051839,001700: 12,3457           25436                                    COMMONLM                              
051840,001701: 
051841,001702: 
051842,001703: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
051843,001704: 12,3461           02760                                    TERRLAMB                              
051844,001705: 12,3462           41325                           PDDL     DMP                                   #                               PL AT 2D
051845,001706: 12,3463           02671                                    TDESIRED                              
051846,001707: 12,3464           11002                                    BEE17                                 
051847,001708: 12,3465           45215                           DAD      DSU                                   #                               PL AT 0D
051848,001709: 12,3466           11031                                    ONEBIT                                
051849,001710: 12,3467           43044                           BPL      SETGO                                 
051850,001711: 12,3470           25516                                    INITV                                 
051851,001712: 12,3471           02434                                    SOLNSW                                
051852,001713: 12,3472           25516                                    INITV                                 
051853,001714: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
051854,001715: 12,3474           00001                                    0                                     
051855,001716: 12,3475           02434                                    SOLNSW                                
051856,001717: 12,3476           02710                                    RTNLAMB                               
051857,001718: 
051858,001719: 
051859,001720: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
051860,001721: 12,3500           00051                                    TWEEKIT                               
051861,001722: 12,3501           10000                                    20000                                 
051862,001723: 12,3502           00011                                    COGAMIN                               #                               PL AT 2
051863,001724: 12,3503           65342                           SR1      PDDL                                  

Page 1188

051865,001726: 12,3504           00017                                    COGAMAX                               
051866,001727: 12,3505           43342                           SR1      DAD                                   
051867,001728: 12,3506           77626                           STADR                                          #                               PL AT 0
051868,001729: 12,3507           75011                           STORE    COGA                                  
051869,001730: 12,3510           00015                           STORE    DCOGA                                 
051870,001731: 12,3511           77650                           GOTO                                           
051871,001732: 12,3512           25330                                    LAMBLOOP                              
051872,001733: 
051873,001734: 
051874,001735: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
051875,001736: 12,3514           11035                                    COGLOLIM                              #  COGLOLIM=-.999511597
051876,001737: 12,3515           25320                                    MINCOGA                               
051877,001738: 
051878,001739: 
051879,001740: 12,3516           60345        INITV              DLOAD    NORM                                  
051880,001741: 12,3517           00041                                    R1                                    
051881,001742: 12,3520           00047                                    X1                                    
051882,001743: 12,3521           70525                           PDDL     SR1                                   #                               PL AT 2
051883,001744: 12,3522           02740                                    P                                     
051884,001745: 12,3523           77671                           DDV                                            #                               PL AT 0
051885,001746: 12,3524           75457                           SL*      SQRT                                  
051886,001747: 12,3525           20175                                    0          -4,1                       
051887,001748: 12,3526           72405                           DMP      SL1                                   
051888,001749: 12,3527           00021                                    ROOTMU                                
051889,001750: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                 PL AT 2
051890,001751: 12,3531           02766                                    COGA                                  
051891,001752: 12,3532           74261                           SL       VXSC                                  
051892,001753: 12,3533           20206                                    5                                     
051893,001754: 12,3534           02722                                    UR1                                   
051894,001755: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                  PL AT 0,6
051895,001756: 12,3536           76561                           VXSC     VSL1                                  
051896,001757: 12,3537           02674                                    UN                                    
051897,001758: 12,3540           53235                           VXV      VAD                                   #                               PL AT 0
051898,001759: 12,3541           02722                                    UR1                                   
051899,001760: 12,3542           77772                           VSL1                                           
051900,001761: 12,3543           02744                           STORE    VVEC                                  
051901,001762: 12,3544           53135                           SLOAD    BZE                                   
051902,001763: 12,3545           02702                                    VTARGTAG                              
051903,001764: 12,3546           25551                                    TARGETV                               
051904,001765: 12,3547           77650                           GOTO                                           
051905,001766: 12,3550           02710                                    RTNLAMB                               
051906,001767: 
051907,001768: 
051908,001769: 12,3551           45145        TARGETV            DLOAD    CALL                                  
051909,001770: 12,3552           02720                                    MAGVEC2                               
051910,001771: 12,3553           24701                                    LAMENTER                              
051911,001772: 12,3554           02703                           STORE    VTARGET                               
051912,001773: 12,3555           77650                           GOTO                                           
051913,001774: 12,3556           02710                                    RTNLAMB                               
051914,001775: 

Page 1189

051916,001777: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                  PL AT 0
051917,001778: 12,3560           02710                                    RTNTR                                 
051918,001779: 12,3561           00001                                    0                                     
051919,001780: 12,3562           77600                           BOV                                            
051920,001781: 12,3563           25564                                    +1                                    
051921,001782: 12,3564           63375                           VLOAD    PDVL                                  #                                  PL AT 6
051922,001783: 12,3565           02655                                    RVEC                                  
051923,001784: 12,3566           02744                                    VVEC                                  
051924,001785: 12,3567           77624                           CALL                                           
051925,001786: 12,3570           11036                                    PARAM                                 
051926,001787: 12,3571           71200                           BOV      DLOAD                                 #                                  PL AT 0
051927,001788: 12,3572           24764                                    COGAOVFL                              
051928,001789: 12,3573           11015                                    D1/32                                 
051929,001790: 12,3574           41225                           DSU      DMP                                   
051930,001791: 12,3575           02742                                    R1A                                   
051931,001792: 12,3576           02740                                    P                                     
051932,001793: 12,3577           41366                           SQRT     DMP                                   
051933,001794: 12,3600           02766                                    COGA                                  
051934,001795: 12,3601           74212                           SL4      VXSC                                  
051935,001796: 12,3602           02712                                    U2                                    
051936,001797: 12,3603           45325                           PDDL     DSU                                   #                                  PL AT 6
051937,001798: 12,3604           11007                                    D1/64                                 
051938,001799: 12,3605           02742                                    R1A                                   
051939,001800: 12,3606           52361                           VXSC     VSU                                   #                                  PL AT 0
051940,001801: 12,3607           02722                                    UR1                                   
051941,001802: 12,3610           53512                           VSL4     UNIT                                  
051942,001803: 12,3611           77600                           BOV                                            
051943,001804: 12,3612           25670                                    CIRCULAR                              
051944,001805: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)               PL AT 6
051945,001806: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
051946,001807: 12,3615           00047                                    X1                                    
051947,001808: 12,3616           41325                           PDDL     DMP                                   #                               PL AT 8
051948,001809: 12,3617           00041                                    R1                                    
051949,001810: 12,3620           02740                                    P                                     
051950,001811: 12,3621           56257                           SL*      DDV                                   #                               PL AT 6
051951,001812: 12,3622           20201                                    0,1                                   
051952,001813: 12,3623           56225                           DSU      DDV                                   
051953,001814: 12,3624           11013                                    D1/16                                 
051954,001815: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
051955,001816: 12,3626           00031                           STORE    COSF                                  
051956,001817: 12,3627           63400                           BOV      DSQ                                   
051957,001818: 12,3630           25674                                    BADR2                                 
051958,001819: 12,3631           50021                           BDSU     BMN                                   
051959,001820: 12,3632           11011                                    D1/4                                  
051960,001821: 12,3633           25674                                    BADR2                                 
051961,001822: 12,3634           75366                           SQRT     SIGN                                  
051962,001823: 12,3635           02755                                    SGNRDOT                               
051963,001824: 12,3636           77614                           CLEAR                                          
051964,001825: 12,3637           04272                                    APSESW                                

Page 1190

051966,001827: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
051967,001828: 12,3641           02674                                    UN                                    
051968,001829: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D                 PL AT 0,6
051969,001830: 12,3643           00001                                    0D                                    
051970,001831: 12,3644           53361                           VXSC     VAD                                   #                               PL AT 0
051971,001832: 12,3645           00031                                    COSF                                  
051972,001833: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                        PL AT 6
051973,001834: 
051974,001835: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
051975,001836: 12,3650           02722                                    UR1                                   
051976,001837: 12,3651           25766                                    DP1/4                                 
051977,001838: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
051978,001839: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
051979,001840: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
051980,001841: 12,3655           02722                                    UR1                                   
051981,001842: 12,3656           76435                           VXV      VSL1                                  
051982,001843: 12,3657           72441                           DOT      SL1                                   
051983,001844: 12,3660           02674                                    UN                                    
051984,001845: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
051985,001846: 12,3662           02740                                    P                                     
051986,001847: 12,3663           77624                           CALL                                           
051987,001848: 12,3664           24767                                    GETX                                  
051988,001849: 12,3665           77614                           CLRGO                                          
051989,001850: 12,3666           02634                                    SOLNSW                                
051990,001851: 12,3667           24747                                    COMMNOUT                              
051991,001852: 
051992,001853: 
051993,001854: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
051994,001855: 12,3671           00001                                    0                                     
051995,001856: 12,3672           02434                                    SOLNSW                                
051996,001857: 12,3673           25752                                    ABTCONIC                              
051997,001858: 
051998,001859: 
051999,001860: 12,3674           75345        BADR2              DLOAD    SIGN                                  
052000,001861: 12,3675           24005                                    LODPHALF                              
052001,001862: 12,3676           00031                                    COSF                                  
052002,001863: 12,3677           14031                           STODL    COSF                                  
052003,001864: 12,3700           24007                                    KEPZERO                               
052004,001865: 12,3701           77614                           SETGO                                          
052005,001866: 12,3702           04032                                    APSESW                                
052006,001867: 12,3703           25640                                    TERMNVEC                              
052007,001868: 

Page 1191

052009,001870: 12,3704           40220        APSIDES            STQ      SETPD                                 #                                  PL AT  0
052010,001871: 12,3705           02710                                    RTNAPSE                               
052011,001872: 12,3706           00001                                    0D                                    
052012,001873: 12,3707           77600                           BOV                                            
052013,001874: 12,3710           25711                                    +1                                    
052014,001875: 12,3711           63375                           VLOAD    PDVL                                  #                                  PL AT  6
052015,001876: 12,3712           02655                                    RVEC                                  
052016,001877: 12,3713           02744                                    VVEC                                  
052017,001878: 12,3714           77624                           CALL                                           
052018,001879: 12,3715           11036                                    PARAM                                 
052019,001880: 12,3716           77600                           BOV                                            #                                  PL AT  0
052020,001881: 12,3717           25720                                    GETECC                                
052021,001882: 12,3720           42405        GETECC             DMP      SL4                                   
052022,001883: 12,3721           02742                                    R1A                                   
052023,001884: 12,3722           75421                           BDSU     SQRT                                  
052024,001885: 12,3723           11007                                    D1/64                                 
052025,001886: 12,3724           02752                           STORE    ECC                                   
052026,001887: 12,3725           65215                           DAD      PDDL                                  #                                  PL AT  2
052027,001888: 12,3726           11003                                    D1/8                                  
052028,001889: 12,3727           00041                                    R1                                    
052029,001890: 12,3730           72405                           DMP      SL1                                   
052030,001891: 12,3731           02740                                    P                                     
052031,001892: 12,3732           77671                           DDV                                            #                                  PL AT  0
052032,001893: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)              PL AT  2
052033,001894: 12,3734           02742                                    R1A                                   
052034,001895: 12,3735           00047                                    X1                                    
052035,001896: 12,3736           53725                           PDDL     SL*                                   #                                  PL AT  4
052036,001897: 12,3737           00041                                    R1                                    
052037,001898: 12,3740           20174                                    0          -5,1                       
052038,001899: 12,3741           45271                           DDV      DSU                                   #                                  PL AT 2,0
052039,001900: 12,3742           50000                           BOV      BMN                                   
052040,001901: 12,3743           25747                                    INFINAPO                              
052041,001902: 12,3744           25747                                    INFINAPO                              
052042,001903: 12,3745           77650                           GOTO                                           
052043,001904: 12,3746           02710                                    RTNAPSE                               
052044,001905: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC,PERIAPSIS
052045,001906: 12,3750           24020                                    LDPOSMAX                              
052046,001907: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
052047,001908: 

Page 1192

052049,001910: 12,3752           77776        ABTCONIC           EXIT                                           
052050,001911: 12,3753           05653                           TC       POODOO                                
052051,001912: 12,3754           20607                           OCT      20607                                 
052052,001913: 
052053,001914: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
052054,001915: 
052055,001916:                                                                                                  #  ERASABLE ASSIGNMENTS
052056,001917: 
052057,001918: 
052058,001919:                                                                                                  #  KEPLER SUBROUTINE
052059,001920: 
052060,001921:                                                                                                  #     INPUT -
052061,001922:                                                                                                  #  RRECT    ERASE  +5
052062,001923:                                                                                                  #  VRECT    ERASE  +5
052063,001924:                                                                                                  #  TAU.     ERASE  +1
052064,001925:                                                                                                  #  XKEP     ERASE  +1
052065,001926:                                                                                                  #  TC       ERASE  +1
052066,001927:                                                                                                  #  XPREV    ERASE  +1
052067,001928: 12,3755                        1/MU               EQUALS   14D                                   
052068,001929: 12,3755                        ROOTMU             EQUALS   16D                                   
052069,001930: 12,3755                        1/ROOTMU           EQUALS   18D                                   
052070,001931:                                                                                                  #     OUTPUT -
052071,001932:                                                                                                  #  RCV      ERASE  +5
052072,001933:                                                                                                  #  VCV      ERASE  +5
052073,001934:                                                                                                  #  RC       ERASE  +1
052074,001935:                                                                                                  #  XPREV    ERASE  +1
052075,001936: 
052076,001937:                                                                                                  #  DEBRIS -
052077,001938: 12,3755                        ALPHA              EQUALS   8D                                    
052078,001939: 12,3755                        XMAX               EQUALS   10D                                   
052079,001940: 12,3755                        XMIN               EQUALS   12D                                   
052080,001941: 12,3755                        X                  EQUALS   20D                                   
052081,001942: 12,3755                        XI                 EQUALS   24D                                   
052082,001943: 12,3755                        S(XI)              EQUALS   26D                                   
052083,001944: 12,3755                        XSQC(XI)           EQUALS   28D                                   
052084,001945: 12,3755                        T                  EQUALS   30D                                   
052085,001946: 12,3755                        R1                 EQUALS   32D                                   
052086,001947: 12,3755                        KEPC1              EQUALS   34D                                   
052087,001948: 12,3755                        KEPC2              EQUALS   36D                                   
052088,001949:                                                                                                  #  DELX     ERASE  +1
052089,001950:                                                                                                  #  DELT     ERASE  +1
052090,001951:                                                                                                  #  URRECT   ERASE  +5
052091,001952:                                                                                                  #  RCNORM   ERASE  +1
052092,001953:                                                                                                  #  XPREV    EQUALS XKEP
052093,001954: 
052094,001955: 
052095,001956:                                                                                                  #  LAMBERT SUBROUTINE
052096,001957: 
052097,001958:                                                                                                  #     INPUT-
052098,001959:                                                                                                  #  R1VEC    ERASE  +5

Page 1193

052100,001961:                                                                                                  #  R2VEC    ERASE  +5
052101,001962:                                                                                                  #  TDESIRED ERASE  +1
052102,001963:                                                                                                  #  GEOMSGN  ERASE  +0
052103,001964:                                                                                                  #  GUESSW                          0 IF COGA GUESS AVAILABLE, 1 IF NOT
052104,001965:                                                                                                  #  COGA     ERASE  +1              INPUT ONLY IF GUESSW IS ZERO.
052105,001966:                                                                                                  #  NORMSW                          0 IF UN TO BE COMPUTED, 1 IF UN INPUT
052106,001967:                                                                                                  #  UN       ERASE  +5              ONLY USED IF NORMSW IS 1
052107,001968:                                                                                                  #  VTARGTAG ERASE  +0
052108,001969:                                                                                                  #  TWEEKIT  EQUALS 40D             ONLY USED IF GUESSW IS 0
052109,001970: 
052110,001971:                                                                                                  #     OUTPUT -
052111,001972:                                                                                                  #  VTARGET  ERASE  +5              AVAILABLE ONLY IF VTARGTAG IS ZERO.
052112,001973:                                                                                                  #  V1VEC    EQUALS MPAC
052113,001974: 
052114,001975:                                                                                                  #     DEBRIS -
052115,001976:                                                                                                  #  RTNLAMB  ERASE  +0
052116,001977:                                                                                                  #  U2       ERASE  +5
052117,001978:                                                                                                  #  MAGVEC2  ERASE  +1
052118,001979:                                                                                                  #  UR1      ERASE  +5
052119,001980:                                                                                                  #  R1       EQUALS 31D
052120,001981:                                                                                                  #  UN       ERASE  +5
052121,001982:                                                                                                  #  SNTH     ERASE  +1
052122,001983:                                                                                                  #  CSTH     ERASE  +1
052123,001984:                                                                                                  #  1-CSTH   ERASE  +1
052124,001985:                                                                                                  #  CSTH-RHO ERASE  +1
052125,001986: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
052126,001987: 12,3755                        COGAMIN            EQUALS   8D                                    
052127,001988: 12,3755                        DCOGA              EQUALS   12D                                   
052128,001989:                                                                                                  #  TWEEKIT  EQUALS 40D
052129,001990:                                                                                                  #  P        ERASE  +1
052130,001991:                                                                                                  #  COGA     ERASE  +1
052131,001992:                                                                                                  #  R1A      ERASE  +1
052132,001993:                                                                                                  #  X        EQUALS 20D
052133,001994:                                                                                                  #  XSQ      EQUALS 22D
052134,001995:                                                                                                  #  XI       EQUALS 24D
052135,001996:                                                                                                  #  S(XI)    EQUALS 26D
052136,001997:                                                                                                  #  XSQC(XI) EQUALS 28D
052137,001998:                                                                                                  #  T        EQUALS 30D
052138,001999:                                                                                                  #  KEPC1    EQUALS 34D
052139,002000:                                                                                                  #  KEPC2    EQUALS 36D
052140,002001:                                                                                                  #  SLOPESW
052141,002002:                                                                                                  #  SOLNSW
052142,002003:                                                                                                  #  OTHERS -
052143,002004: 
052144,002005:                                                                                                  #  RVEC     EQUALS R1VEC
052145,002006:                                                                                                  #  VVEC     ERASE  +5
052146,002007:                                                                                                  #  COGAFLAG
052147,002008:                                                                                                  #  RVSW
052148,002009:                                                                                                  #  INFINFLG
052149,002010:                                                                                                  #  APSESW

Page 1194

052151,002012:                                                                                                  #  360SW
052152,002013:                                                                                                  #  RTNTT    EQUALS RTNLAMB
052153,002014:                                                                                                  #  ECC      ERASE  +1
052154,002015:                                                                                                  #  RTNTR    EQUALS RTNLAMB
052155,002016:                                                                                                  #  RTNAPSE  EQUALS RTNLAMB
052156,002017:                                                                                                  #  R2       EQUALS MAGVEC2
052157,002018: 12,3755                        COSF               EQUALS   24D                                   
052158,002019:                                                                                                  #  RTNPRM   ERASE  +0
052159,002020:                                                                                                  #  SGNRDOT  ERASE  +0
052160,002021:                                                                                                  #  RDESIRED ERASE  +1
052161,002022: 
052162,002023: 
052163,002024:                                                                                                  #  ITERATOR SUBROUTINE
052164,002025: 
052165,002026:                                                                                                  #  ORDERSW
052166,002027: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
052167,002028: 12,3755                        MIN                EQUALS   8D                                    
052168,002029:                                                                                                  #  INDEP    ERASE  +1
052169,002030: 12,3755                        DELINDEP           EQUALS   12D                                   
052170,002031: 12,3755                        ITERCTR            EQUALS   22D                                   
052171,002032: 12,3755                        DEP                EQUALS   30D                                   
052172,002033:                                                                                                  #  DELDEP   ERASE  +1
052173,002034:                                                                                                  #  DEPREV   ERASE  +1
052174,002035: 12,3755                        TWEEKIT            EQUALS   40D                                   
052175,002036: 
052176,002037: 
052177,002038:                                                                                                  #  MORE KEPLER
052178,002039: 
052179,002040:                                                                                                  #  EPSILONT ERASE  +1
052180,002041: 
052181,002042: 
052182,002043:                                                                                                  #  MORE LAMBERT
052183,002044: 
052184,002045:                                                                                                  #  TERRLAMB EQUALS DELDEP
052185,002046:                                                                                                  #  TPREV    EQUALS DEPREV
052186,002047: 
052187,002048: 
052188,002049:                                                                                                  #  EPSILONL EQUALS EPSILONT +2     DOUBLE PRECISION WORD

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