Source Code

These source-code files derive from a printout of Luminary 116 (the Apollo 12 Lunar Module guidance computer program), from the personal library of original AGC developer Don Eyles, digitally photographed at archive.org, financially sponsored by Ron Burkey, and transcribed to source code by a team of volunteers. This colorized, syntax-highlighted form was created by assembling that transcribed source code. Note that the full page images are available on the Virtual AGC project page at archive.org, while reduced-size images are presented at the VirtualAGC project website. Report or fix any transcription errors at the Virtual AGC project code repository.

Notations on the program listing read, in part:

	GAP:  ASSEMBLE REVISION 116 OF AGC PROGRAM LUMINARY BY NASA 2021112-071
	19:09 AUG. 11,1969
Note that the date is the date of the printout, not the date of the program revision.

048677,000002:                                                                                                  ## Copyright:   Public domain.
048678,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048679,000004:                                                                                                  ## Purpose:     A section of Luminary revision 116.
048680,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
048681,000006:                                                                                                  ##              Apollo Guidance Computer (AGC) for Apollo 12.
048682,000007:                                                                                                  ##              This file is intended to be a faithful transcription, except
048683,000008:                                                                                                  ##              that the code format has been changed to conform to the
048684,000009:                                                                                                  ##              requirements of the yaYUL assembler rather than the
048685,000010:                                                                                                  ##              original YUL assembler.
048686,000011:                                                                                                  ## Reference:   pp. 1151-1195
048687,000012:                                                                                                  ## Assembler:   yaYUL
048688,000013:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048689,000014:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048690,000015:                                                                                                  ## Mod history: 2017-01-22 MAS  Created from Luminary 99.
048691,000016:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
048692,000017:                                                                                                  ##              2017-03-13 RRB  Updated with Luminary 116.
048693,000018:                                                                                                  ##              2017-03-14 RSB  Proofed comment-text via 3-way diff
048694,000019:                                                                                                  ##                              vs Luminary 99 and 131. Added a few lines
048695,000020:                                                                                                  ##                              of missing code at the bottom of page 1187.
048696,000021:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
048697,000022:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
048698,000023:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
048699,000024:                                                                                                  ##                              Luminary 99 vs Comanche 55.
048700,000025:                                                                                                  ##              2017-03-19 HG   Add missing sequence of statemens with label NEGP
048701,000026:                                                                                                  ##                              Fix interpretive operator BCN --> BON
048702,000027: 

Page 1151

048704,000029:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION                       DATE - 1 SEPTEMBER 1967
048705,000030:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
048706,000031:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
048707,000032: 
048708,000033:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048709,000034:                                                                                                  #       THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048710,000035:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048711,000036:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048712,000037:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048713,000038:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048714,000039:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048715,000040:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048716,000041:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048717,000042:                                                                                                  #  TINES APPROPRIATELY.
048718,000043:                                                                                                  #       DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048719,000044:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048720,000045:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048721,000046: 
048722,000047:                                                                                                  #  RESTRICTIONS -
048723,000048:                                                                                                  #       THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048724,000049:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048725,000050:                                                                                                  #  TORIES COULD BE HANDLED.
048726,000051: 
048727,000052:                                                                                                  #       SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048728,000053:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048729,000054:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048730,000055: 

Page 1152

048732,000057:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                                DATE - 11 OCTOBER 1967
048733,000058:                                                                                                  #  MOD NO. -1                                                                     LOG SECTION - CONIC SUBROUTINES
048734,000059:                                                                                                  #  MOD BY KRAUSE                                                          ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048735,000060:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048736,000061:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048737,000062:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048738,000063: 
048739,000064:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048740,000065:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048741,000066:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048742,000067:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
048743,000068:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048744,000069:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048745,000070:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048746,000071:                                                                                                  #       IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048747,000072:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048748,000073:                                                                                                  #       IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048749,000074:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048750,000075: 
048751,000076:                                                                                                  #  THE RESTRICTIONS ARE -
048752,000077:                                                                                                  #       1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048753,000078:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048754,000079:                                                                                                  #  ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048755,000080: 
048756,000081:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048757,000082:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048758,000083:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048759,000084: 
048760,000085:                                                                                                  #  REFERENCES -
048761,000086:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048762,000087:                                                                                                  #  MEMO 67-4.
048763,000088: 
048764,000089:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048765,000090:                                                                                                  #          * SCALE FACTOR *
048766,000091:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048767,000092:                                                                                                  #  --------*--------------*                         -----------------------
048768,000093:                                                                                                  #  RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048769,000094:                                                                                                  #          * +27 FOR MOON *

Page 1153

048771,000096:                                                                                                  #  VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048772,000097:                                                                                                  #          * +5 FOR MOON  *
048773,000098:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048774,000099:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
048775,000100:                                                                                                  #  TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048776,000101:                                                                                                  #          *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048777,000102:                                                                                                  #  XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
048778,000103:                                                                                                  #          * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048779,000104:                                                                                                  #          *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048780,000105:                                                                                                  #          *              *    BY KEPLER TO A POOR BUT VALID GUESS.
048781,000106:                                                                                                  #  TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048782,000107:                                                                                                  #  XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048783,000108:                                                                                                  #          * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048784,000109: 
048785,000110:                                                                                                  #  SUBROUTINES CALLED -
048786,000111:                                                                                                  #       DELTIME
048787,000112: 
048788,000113:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048789,000114:                                                                                                  #  KEPRTN-2 GOTO                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048790,000115:                                                                                                  #  KEPRTN-1        KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
048791,000116:                                                                                                  #  KEPRTN   ...                    CONTINUE
048792,000117: 
048793,000118:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048794,000119:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048795,000120:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048796,000121: 
048797,000122:                                                                                                  #  ABORT EXIT MODES -
048798,000123:                                                                                                  #       NONE
048799,000124: 
048800,000125:                                                                                                  #  OUTPUT -
048801,000126:                                                                                                  #          * SCALE FACTOR *
048802,000127:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048803,000128:                                                                                                  #  --------*--------------*                         -----------------------
048804,000129:                                                                                                  #  RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
048805,000130:                                                                                                  #          * +27 FOR MOON *
048806,000131:                                                                                                  #  VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048807,000132:                                                                                                  #          * +5 FOR MOON  *
048808,000133:                                                                                                  #  TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
048809,000134:                                                                                                  #  XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
048810,000135:                                                                                                  #          * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1154

048812,000137:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048813,000138: 
048814,000139:                                                                                                  #  DEBRIS -
048815,000140:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
048816,000141:                                                                                                  #          * SCALE FACTOR *
048817,000142:                                                                                                  #  VARIABLE*IN POWERS OF 2*                 DESCRIPTION AND REMARKS
048818,000143:                                                                                                  #  --------*--------------*                 -----------------------
048819,000144:                                                                                                  #  URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
048820,000145:                                                                                                  #  R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
048821,000146:                                                                                                  #          * +27 FOR MOON *
048822,000147:                                                                                                  #  ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048823,000148:                                                                                                  #          * -20 FOR MOON *
048824,000149:                                                                                                  #  TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048825,000150:                                                                                                  #          *              *TAU. OF LESS THAN ONE PERIOD.
048826,000151: 
048827,000152:                                                                                                  #       PARAMETERS OF NO USE -
048828,000153:                                                                                                  #  DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048829,000154: 

Page 1155

048831,000156: 
048832,000157:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                                         DATE - 1 SEPTEMBER 1967
048833,000158:                                                                                                  #  MOD NO. - 0                                                                      LOG SECTION - CONIC SUBROUTINES
048834,000159:                                                                                                  #  MOD BY KRAUSE                                                                    ASSEMBLY - COLOSSUS REVISION 88
048835,000160: 
048836,000161:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048837,000162:                                                                                                  #       THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048838,000163:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048839,000164:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048840,000165:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048841,000166:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048842,000167:                                                                                                  #  UTILIZED IN THE COMPUTATION.
048843,000168: 
048844,000169:                                                                                                  #  THE RESTRICTIONS ARE -
048845,000170:                                                                                                  #       1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048846,000171:                                                                                                  #       2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048847,000172:                                                                                                  #       3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048848,000173:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
048849,000174:                                                                                                  #       4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048850,000175:                                                                                                  #       5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048851,000176:                                                                                                  #  LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048852,000177: 
048853,000178:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048854,000179:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                THE AGC COMPUTATION TIME IS APPROXIMATE-
048855,000180:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048856,000181: 
048857,000182:                                                                                                  #  REFERENCES -
048858,000183:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048859,000184:                                                                                                  #  SGA MEMO 67-4.
048860,000185: 
048861,000186:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048862,000187: 
048863,000188:                                                                                                  #          * SCALE FACTOR *
048864,000189:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048865,000190:                                                                                                  #  --------*--------------*                         -----------------------
048866,000191:                                                                                                  #  R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048867,000192:                                                                                                  #          * +27 FOR MOON *
048868,000193:                                                                                                  #  R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048869,000194:                                                                                                  #          * +27 FOR MOON *
048870,000195:                                                                                                  #  TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
048871,000196:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048872,000197:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
048873,000198:                                                                                                  #  GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048874,000199:                                                                                                  #  GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1156

048876,000201:                                                                                                  #          *              *COGA IS TO BE USED BY LAMBERT
048877,000202:                                                                                                  #  COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048878,000203:                                                                                                  #                         *IGNORED IF GUESSW IS SET.
048879,000204:                                                                                                  #  NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048880,000205:                                                                                                  #          *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048881,000206:                                                                                                  #  UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048882,000207:                                                                                                  #          *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048883,000208:                                                                                                  #  VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048884,000209:                                                                                                  #          *              *AT R1VEC.
048885,000210:                                                                                                  #  ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048886,000211:                                                                                                  #          *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
048887,000212:                                                                                                  #          *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048888,000213:                                                                                                  #          *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048889,000214: 
048890,000215:                                                                                                  #  SUBROUTINES CALLED -
048891,000216:                                                                                                  #       GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048892,000217: 
048893,000218:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048894,000219:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048895,000220:                                                                                                  #  L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048896,000221:                                                                                                  #                                  IN MPAC IF VTARGTAG WAS ZERO
048897,000222:                                                                                                  #  L+2      BON                    CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048898,000223:                                                                                                  #  L+3             SOLNSW
048899,000224:                                                                                                  #  L+4             LAMABORT
048900,000225: 
048901,000226:                                                                                                  #       IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048902,000227:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048903,000228: 
048904,000229:                                                                                                  #  ABORT EXIT MODES -
048905,000230:                                                                                                  #       IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048906,000231:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048907,000232:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048908,000233:                                                                                                  #  LAMABORT DLOAD  ABS                     A MEASURE OF PROXIMITY TO 0 OR
048909,000234:                                                                                                  #                  1-CSTH                  360 DEGREES.
048910,000235:                                                                                                  #           DSU    BMN
048911,000236:                                                                                                  #                  ONEBIT
048912,000237:                                                                                                  #                  CHANGER2                CHANGE R2VEC DIRECTION SLIGHTLY.
048913,000238:                                                                                                  #           DLOAD  DAD
048914,000239:                                                                                                  #                  TDESIRED
048915,000240:                                                                                                  #                  SOMETIME
048916,000241:                                                                                                  #           STCALL TDESIRED                INCREASE TDESIRED
048917,000242:                                                                                                  #                  LAMBERT
048918,000243: 

Page 1157

048920,000245:                                                                                                  #  OUTPUT -
048921,000246:                                                                                                  #          * SCALE FACTOR *
048922,000247:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048923,000248:                                                                                                  #  --------*--------------*                         -----------------------
048924,000249:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048925,000250:                                                                                                  #          * +5 FOR MOON  *PROBLEM.
048926,000251:                                                                                                  #  VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048927,000252:                                                                                                  #          * +5 FOR MOON  *
048928,000253:                                                                                                  #  SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048929,000254:                                                                                                  #          *              *               SOLUTION EXISTS.
048930,000255:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048931,000256: 
048932,000257:                                                                                                  #  DEBRIS -
048933,000258:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
048934,000259: 
048935,000260:                                                                                                  #          * SCALE FACTOR *
048936,000261:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048937,000262:                                                                                                  #  --------*--------------*                         -----------------------
048938,000263:                                                                                                  #  SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048939,000264:                                                                                                  #  CSTH    * +1           *DP COSINE OF ANGLE
048940,000265:                                                                                                  #  1-CSTH  * +2           *DP 1-CSTH
048941,000266:                                                                                                  #  COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048942,000267:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048943,000268:                                                                                                  #  R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048944,000269:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
048945,000270:                                                                                                  #          * +27 FOR MOON *
048946,000271:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF R1VEC
048947,000272:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF R2VEC
048948,000273: 
048949,000274:                                                                                                  #       PARAMETERS OF NO USE
048950,000275:                                                                                                  #  DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048951,000276:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048952,000277: 

Page 1158

048954,000279:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                                    DATE - 1 SEPTEMBER 1967
048955,000280:                                                                                                  #  MOD NO. - 0                                                                    LOG SECTION - CONIC SUBROUTINES
048956,000281:                                                                                                  #  MOD BY KRAUSE                                                                  ASSEMBLY - COLOSSUS REVISION 88
048957,000282: 
048958,000283:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048959,000284:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
048960,000285:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048961,000286:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048962,000287:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048963,000288:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048964,000289:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048965,000290: 
048966,000291:                                                                                                  #  THE RESTRICTIONS ARE -
048967,000292:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048968,000293:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
048969,000294:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048970,000295:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048971,000296: 
048972,000297:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
048973,000298: 
048974,000299:                                                                                                  #  REFERENCES -
048975,000300:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048976,000301: 
048977,000302:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048978,000303:                                                                                                  #          * SCALE FACTOR *
048979,000304:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048980,000305:                                                                                                  #  --------*--------------*                         -----------------------
048981,000306:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048982,000307:                                                                                                  #          * +27 FOR MOON *
048983,000308:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048984,000309:                                                                                                  #          * +5 FOR MOON  *
048985,000310:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
048986,000311:                                                                                                  #  CSTH    * +1           *DP COSINE OF THE ANGLE
048987,000312:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048988,000313:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
048989,000314:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048990,000315:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
048991,000316: 
048992,000317:                                                                                                  #  SUBROUTINES CALLED -

Page 1159

048994,000319:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
048995,000320: 
048996,000321:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048997,000322:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
048998,000323:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048999,000324:                                                                                                  #  L+1             RVSW
049000,000325:                                                                                                  #  L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049001,000326:                                                                                                  #  L+3     ...                     CONTINUE
049002,000327: 
049003,000328:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049004,000329:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049005,000330:                                                                                                  #  L+1      RVSW
049006,000331:                                                                                                  #  L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049007,000332:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049008,000333:                                                                                                  #  L+3      STOVL  NEWVVEC
049009,000334:                                                                                                  #  L+4      STADR
049010,000335:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049011,000336:                                                                                                  #  L+6      ...                            CONTINUE
049012,000337: 
049013,000338:                                                                                                  #  ABORT EXIT MODES -
049014,000339:                                                                                                  #           IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049015,000340:                                                                                                  #           AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 AND 721).
049016,000341: 
049017,000342:                                                                                                  #  OUTPUT -
049018,000343:                                                                                                  #          * SCALE FACTOR *
049019,000344:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049020,000345:                                                                                                  #  --------*--------------*                         -----------------------
049021,000346:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049022,000347:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049023,000348:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049024,000349:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049025,000350:                                                                                                  #          *              *CLEAR IF NOT.
049026,000351: 
049027,000352:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
049028,000353:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049029,000354:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049030,000355:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049031,000356:                                                                                                  #          * +27 FOR MOON *
049032,000357: 
049033,000358:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049034,000359: 

Page 1160

049036,000361:                                                                                                  #  DEBRIS -
049037,000362:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049038,000363: 
049039,000364:                                                                                                  #          * SCALE FACTOR *
049040,000365:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049041,000366:                                                                                                  #  --------*--------------*                         -----------------------
049042,000367:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049043,000368:                                                                                                  #          * +27 FOR MOON *
049044,000369:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049045,000370:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049046,000371:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049047,000372:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049048,000373:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049049,000374:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049050,000375: 
049051,000376:                                                                                                  #       PARAMETERS OF NO USE -
049052,000377:                                                                                                  #  SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049053,000378:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049054,000379: 

Page 1161

049056,000381:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE                            DATE - 11 OCTOBER 1967
049057,000382:                                                                                                  #  MOD NO. -1                                                              LOG SECTION - CONIC SUBROUTINES
049058,000383:                                                                                                  #  MOD BY KRAUSE                                                           ASSEMBLY - COLOSSUS REVISION 88
049059,000384: 
049060,000385:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049061,000386: 
049062,000387:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049063,000388:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049064,000389:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049065,000390:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049066,000391:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049067,000392:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049068,000393:                                                                                                  #       IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049069,000394:                                                                                                  #  APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049070,000395: 
049071,000396:                                                                                                  #  THE RESTRICTIONS ARE -
049072,000397:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049073,000398:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
049074,000399:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049075,000400:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049076,000401:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049077,000402:                                                                                                  #  RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049078,000403:                                                                                                  #  PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049079,000404: 
049080,000405:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049081,000406: 
049082,000407:                                                                                                  #  REFERENCES -
049083,000408:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049084,000409: 
049085,000410:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049086,000411:                                                                                                  #          * SCALE FACTOR *
049087,000412:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049088,000413:                                                                                                  #  --------*--------------*                         -----------------------
049089,000414:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049090,000415:                                                                                                  #          * +27 FOR MOON *
049091,000416:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049092,000417:                                                                                                  #          * +5 FOR MOON  *
049093,000418:                                                                                                  #  RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049094,000419:                                                                                                  #          * +27 FOR MOON *COMPUTED.
049095,000420:                                                                                                  #  SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049096,000421:                                                                                                  #          *              *POSITIVE OR NEGATIVE, RESPECTIVELY.  THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1162

049098,000423:                                                                                                  #          *              *SINGLE-VALUED PROBLEM.
049099,000424:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049100,000425:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049101,000426:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049102,000427:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
049103,000428: 
049104,000429:                                                                                                  #  SUBROUTINES CALLED -
049105,000430:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
049106,000431: 
049107,000432:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049108,000433: 
049109,000434:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049110,000435:                                                                                                  #  L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049111,000436:                                                                                                  #  L+1             RVSW
049112,000437:                                                                                                  #  L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049113,000438:                                                                                                  #  L+3     ...                     CONTINUE
049114,000439: 
049115,000440:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049116,000441:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049117,000442:                                                                                                  #  L+1             RVSW
049118,000443:                                                                                                  #  L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049119,000444:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049120,000445:                                                                                                  #  L+3     STOVL   NEWVVEC
049121,000446:                                                                                                  #  L+4     STADR
049122,000447:                                                                                                  #  L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049123,000448:                                                                                                  #  L+6     ...                     CONTINUE
049124,000449: 
049125,000450:                                                                                                  #  ABORT EXIT MODES -
049126,000451:                                                                                                  #           IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049127,000452:                                                                                                  #           TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049128,000453: 
049129,000454:                                                                                                  #  OUTPUT -
049130,000455:                                                                                                  #          * SCALE FACTOR *
049131,000456:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049132,000457:                                                                                                  #  --------*--------------*                         -----------------------
049133,000458:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049134,000459:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049135,000460:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049136,000461:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049137,000462:                                                                                                  #          *              *CLEAR IF NOT.
049138,000463:                                                                                                  #  APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1163

049140,000465:                                                                                                  #          *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049141,000466:                                                                                                  #          *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049142,000467:                                                                                                  #          *              *APOCENTER.
049143,000468:                                                                                                  #  SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049144,000469:                                                                                                  #                         *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049145,000470:                                                                                                  #                         *MINUS-18, THE SWITCH IS CLEAR.
049146,000471: 
049147,000472:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049148,000473: 
049149,000474:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049150,000475:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049151,000476:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049152,000477:                                                                                                  #          * +27 FOR MOON *
049153,000478: 
049154,000479:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049155,000480: 
049156,000481:                                                                                                  #  DEBRIS -
049157,000482:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049158,000483: 
049159,000484:                                                                                                  #          * SCALE FACTOR *
049160,000485:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049161,000486:                                                                                                  #  --------*--------------*                         -----------------------
049162,000487:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049163,000488:                                                                                                  #          * +27 FOR MOON *
049164,000489:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049165,000490:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049166,000491:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049167,000492:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049168,000493:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049169,000494:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049170,000495:                                                                                                  #  CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049171,000496:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
049172,000497: 
049173,000498:                                                                                                  #       PARAMETERS OF NO USE -
049174,000499:                                                                                                  #  SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049175,000500:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049176,000501: 
049177,000502: 

Page 1164

049179,000504:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
049180,000505:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
049181,000506:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049182,000507: 
049183,000508:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049184,000509: 
049185,000510:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049186,000511:                                                                                                  #  ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049187,000512:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049188,000513:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049189,000514:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049190,000515: 
049191,000516:                                                                                                  #  THE RESTRICTIONS ARE -
049192,000517:                                                                                                  #       1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049193,000518:                                                                                                  #  TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049194,000519:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049195,000520:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049196,000521: 
049197,000522:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049198,000523: 
049199,000524:                                                                                                  #  REFERENCES -
049200,000525:                                                                                                  #       MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049201,000526: 
049202,000527:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049203,000528:                                                                                                  #          * SCALE FACTOR *
049204,000529:                                                                                                  #  VARIABLE*IN POWERS OF 2*                          DESCRIPTION AND REMARKS
049205,000530:                                                                                                  #  --------*--------------*                          -----------------------
049206,000531:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049207,000532:                                                                                                  #          * +27 FOR MOON *
049208,000533:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049209,000534:                                                                                                  #          * +5 FOR MOON  *
049210,000535:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049211,000536:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049212,000537: 
049213,000538:                                                                                                  #  SUBROUTINES CALLED -
049214,000539:                                                                                                  #       PARAM, GEOM
049215,000540: 
049216,000541:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1165

049218,000543:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049219,000544:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049220,000545:                                                                                                  #  L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049221,000546:                                                                                                  #  L+2      STODL  APOAPSE
049222,000547:                                                                                                  #  L+3             0D
049223,000548:                                                                                                  #  L+4      STORE  PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049224,000549:                                                                                                  #  L+5      ...                    CONTINUE
049225,000550: 
049226,000551:                                                                                                  #  OUTPUT -
049227,000552:                                                                                                  #          * SCALE FACTOR *
049228,000553:                                                                                                  #  VARIABLE*IN POWERS OF 2*                      DESCRIPTION AND REMARKS
049229,000554:                                                                                                  #  --------*--------------*                      -----------------------
049230,000555:                                                                                                  #  MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
049231,000556:                                                                                                  #          * +27 FOR MOON *
049232,000557:                                                                                                  #  0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
049233,000558:                                                                                                  #          * +27 FOR MOON *
049234,000559:                                                                                                  #  ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
049235,000560: 
049236,000561:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049237,000562: 
049238,000563:                                                                                                  #  DEBRIS -
049239,000564: 
049240,000565:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049241,000566: 
049242,000567:                                                                                                  #          * SCALE FACTOR *
049243,000568:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049244,000569:                                                                                                  #  --------*--------------*                         -----------------------
049245,000570:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049246,000571:                                                                                                  #          * +27 FOR MOON *
049247,000572:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049248,000573:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049249,000574:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049250,000575:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049251,000576:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049252,000577:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049253,000578:                                                                                                  #  MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
049254,000579:                                                                                                  #          * +5 FOR MOON  *
049255,000580: 
049256,000581:                                                                                                  #       PARAMETERS OF NO USE -
049257,000582:                                                                                                  #  SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
049258,000583:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049259,000584: 
049260,000585: 12,2000                                           SETLOC   CONICS                                

Page 1166

049262,000587: 12,2000                                           BANK                                           
049263,000588: 
049264,000589: 12,2023                                           COUNT*   $$/CONIC                              
049265,000590: 12,2023  E5,1721                                  EBANK=   UR1                                   
049266,000591: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049267,000592: 12,2024           00001                                    0                                     
049268,000593: 12,2025           24026                                    +1                                    
049269,000594: 12,2026           77773                           VLOAD*                                         
049270,000595: 12,2027           10005                                    MUTABLE,1                             
049271,000596: 12,2030           24017                           STOVL    14D                                   
049272,000597: 12,2031           01503                                    RRECT                                 
049273,000598: 12,2032           66256                           UNIT     SSP                                   
049274,000599: 12,2033           00027                                    ITERCTR                               
049275,000600: 12,2034           00024                                    20D                                   
049276,000601: 12,2035           16647                           STODL    URRECT                                
049277,000602: 12,2036           00045                                    36D                                   
049278,000603: 12,2037           24041                           STOVL    R1                                    
049279,000604: 12,2040           01503                                    RRECT                                 
049280,000605: 12,2041           76441                           DOT      SL1R                                  
049281,000606: 12,2042           01511                                    VRECT                                 
049282,000607: 12,2043           76405                           DMP      SL1R                                  
049283,000608: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049284,000609: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049285,000610: 
049286,000611: 12,2046           01511                                    VRECT                                 
049287,000612: 12,2047           57236                           VSQ      DMPR                                  
049288,000613: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049289,000614: 12,2051           52405                           DMP      SL3                                   
049290,000615: 12,2052           00041                                    R1                                    
049291,000616: 12,2053           61425                           DSU      ROUND                                 
049292,000617: 12,2054           11017                                    D1/64                                 
049293,000618: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049294,000619: 
049295,000620: 12,2056           74421                           BDSU     SR1R                                  
049296,000621: 12,2057           11017                                    D1/64                                 
049297,000622: 12,2060           77671                           DDV                                            
049298,000623: 12,2061           00041                                    R1                                    
049299,000624: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049300,000625: 
049301,000626: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049302,000627: 12,2064           24073                                    1REV                                  
049303,000628: 12,2065           11035                                    -50SC                                 #  -50SC (+12)
049304,000629: 12,2066           40071                           DDV      BOV                                   
049305,000630: 12,2067           00011                                    ALPHA                                 
049306,000631: 12,2070           24077                                    STOREMAX                              
049307,000632: 12,2071           52166                           SQRT     GOTO                                  
049308,000633: 12,2072           24077                                    STOREMAX                              
049309,000634: 
049310,000635: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1167

049312,000637: 12,2074           11037                                    2PISC                                 #  2PISC (+6)
049313,000638: 12,2075           77600                           BOV                                            
049314,000639: 12,2076           24077                                    STOREMAX                              
049315,000640: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049316,000641: 12,2100           65205                           DMP      PDDL                                  
049317,000642: 12,2101           00023                                    1/ROOTMU                              
049318,000643: 12,2102           00011                                    ALPHA                                 
049319,000644: 12,2103           65301                           NORM     PDDL                                  
049320,000645: 12,2104           00047                                    X1                                    
049321,000646: 12,2105           56257                           SL*      DDV                                   
049322,000647: 12,2106           20173                                    0          -6,1                       
049323,000648: 12,2107           50000                           BOV      BMN                                   
049324,000649: 12,2110           24124                                    MODDONE                               
049325,000650: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049326,000651: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049327,000652: 12,2113           02074                                    TAU.                                  
049328,000653: 12,2114           50025                           DSU      BMN                                   
049329,000654: 12,2115           00001                                    0D                                    
049330,000655: 12,2116           24124                                    MODDONE                               
049331,000656: 12,2117           77765                           SIGN                                           
049332,000657: 12,2120           02074                                    TAU.                                  
049333,000658: 12,2121           16074                           STODL    TAU.                                  
049334,000659: 12,2122           77650                           GOTO                                           
049335,000660: 12,2123           24112                                    PERIODCH                              
049336,000661: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049337,000662: 12,2125           00001                                    0                                     
049338,000663: 12,2126           02130                                    XKEPNEW                               
049339,000664: 12,2127           00025                           STORE    X                                     
049340,000665: 12,2130           53165                           SIGN     BZE                                   
049341,000666: 12,2131           02074                                    TAU.                                  
049342,000667: 12,2132           24302                                    BADX                                  
049343,000668: 12,2133           51440                           BMN      ABS                                   
049344,000669: 12,2134           24302                                    BADX                                  
049345,000670: 12,2135           51025                           DSU      BPL                                   
049346,000671: 12,2136           00013                                    XMAX                                  
049347,000672: 12,2137           24302                                    BADX                                  
049348,000673: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049349,000674: 12,2141           02074                                    TAU.                                  
049350,000675: 12,2142           24152                                    STOREMIN                              
049351,000676: 12,2143           57545                           DLOAD    DCOMP                                 
049352,000677: 12,2144           00013                                    XMAX                                  
049353,000678: 12,2145           14015                           STODL    XMIN                                  
049354,000679: 12,2146           24007                                    KEPZERO                               
049355,000680: 12,2147           00013                           STORE    XMAX                                  
049356,000681: 12,2150           77650                           GOTO                                           
049357,000682: 12,2151           24155                                    DXCOMP                                
049358,000683: 12,2152           77745        STOREMIN           DLOAD                                          
049359,000684: 12,2153           24007                                    KEPZERO                               
049360,000685: 12,2154           00015                           STORE    XMIN                                  
049361,000686: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1168

049363,000688: 12,2156           02074                                    TAU.                                  
049364,000689: 12,2157           11030                                    BEE22                                 
049365,000690: 12,2160           77646                           ABS                                            
049366,000691: 12,2161           16177                           STODL    EPSILONT                              
049367,000692: 12,2162           01553                                    XPREV                                 
049368,000693: 12,2163           77621        XDIFF              BDSU                                           
049369,000694: 12,2164           00025                                    X                                     
049370,000695: 12,2165           02643                           STORE    DELX                                  
049371,000696: 
049372,000697: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049373,000698: 12,2167           00025                                    X                                     #  X=XKEP
049374,000699: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049375,000700: 12,2171           00047                                    X1                                    
049376,000701: 12,2172           53605                           DMP      SRR*                                  
049377,000702: 12,2173           00011                                    ALPHA                                 
049378,000703: 12,2174           21573                                    0          -6,1                       
049379,000704: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049380,000705: 12,2176           24421                                    DELTIME                               
049381,000706: 12,2177           44200                           BOV      BDSU                                  
049382,000707: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049383,000708: 12,2201           02074                                    TAU.                                  
049384,000709: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049385,000710: 12,2203           44246                           ABS      BDSU                                  
049386,000711: 12,2204           02177                                    EPSILONT                              
049387,000712: 12,2205           71244                           BPL      DLOAD                                 
049388,000713: 12,2206           24333                                    KEPCONVG                              
049389,000714: 12,2207           00037                                    T                                     
049390,000715: 12,2210           60225                           DSU      NORM                                  
049391,000716: 12,2211           01551                                    TC                                    
049392,000717: 12,2212           00047                                    X1                                    
049393,000718: 12,2213           60325                           PDDL     NORM                                  
049394,000719: 12,2214           02643                                    DELX                                  
049395,000720: 12,2215           00050                                    X2                                    
049396,000721: 12,2216           41260                           XSU,1    DMP                                   
049397,000722: 12,2217           00047                                    X2                                    
049398,000723: 12,2220           02645                                    DELT                                  
049399,000724: 12,2221           56257                           SLR*     DDV                                   
049400,000725: 12,2222           21202                                    1,1                                   
049401,000726: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049402,000727: 12,2224           71244                           BPL      DLOAD                                 
049403,000728: 12,2225           24246                                    POSDELX                               
049404,000729: 12,2226           00025                                    X                                     
049405,000730: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049406,000731: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049407,000732: 12,2231           00015                                    XMIN                                  
049408,000733: 12,2232           51000                           BOV      BPL                                   
049409,000734: 12,2233           24240                                    NDXCHNGE                              
049410,000735: 12,2234           24240                                    NDXCHNGE                              
049411,000736: 12,2235           52145                           DLOAD    GOTO                                  

Page 1169

049413,000738: 12,2236           00001                                    0D                                    
049414,000739: 12,2237           24260                                    NEWDELX                               
049415,000740: 
049416,000741: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049417,000742: 12,2241           00015                                    XMIN                                  
049418,000743: 12,2242           00025                                    X                                     
049419,000744: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049420,000745: 12,2244           11033                                    DP9/10                                
049421,000746: 12,2245           24260                                    NEWDELX                               
049422,000747: 
049423,000748: 12,2246           77745        POSDELX            DLOAD                                          
049424,000749: 12,2247           00025                                    X                                     
049425,000750: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049426,000751: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049427,000752: 12,2252           00013                                    XMAX                                  
049428,000753: 12,2253           50000                           BOV      BMN                                   
049429,000754: 12,2254           24274                                    PDXCHNGE                              
049430,000755: 12,2255           24274                                    PDXCHNGE                              
049431,000756: 12,2256           77745                           DLOAD                                          
049432,000757: 12,2257           00001                                    0D                                    
049433,000758: 12,2260           02643        NEWDELX            STORE    DELX                                  
049434,000759: 12,2261           43254                           BZE      DAD                                   
049435,000760: 12,2262           24333                                    KEPCONVG                              
049436,000761: 12,2263           00025                                    X                                     
049437,000762: 12,2264           14025                           STODL    X                                     
049438,000763: 12,2265           00037                                    T                                     
049439,000764: 12,2266           01551                           STORE    TC                                    
049440,000765: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049441,000766: 12,2270           24644                                    CHECKCTR                              
049442,000767: 12,2271           24333                                    KEPCONVG                              
049443,000768: 12,2272           77650                           GOTO                                           
049444,000769: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049445,000770: 
049446,000771: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049447,000772: 12,2275           00013                                    XMAX                                  
049448,000773: 12,2276           00025                                    X                                     
049449,000774: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049450,000775: 12,2300           11033                                    DP9/10                                
049451,000776: 12,2301           24260                                    NEWDELX                               
049452,000777: 
049453,000778: 12,2302           70545        BADX               DLOAD    SR1                                   
049454,000779: 12,2303           00013                                    XMAX                                  
049455,000780: 12,2304           77765                           SIGN                                           
049456,000781: 12,2305           02074                                    TAU.                                  
049457,000782: 12,2306           00025                           STORE    X                                     
049458,000783: 12,2307           77650                           GOTO                                           

Page 1170

049460,000785: 12,2310           24140                                    STORBNDS                              
049461,000786: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049462,000787: 12,2312           00025                                    X                                     
049463,000788: 12,2313           24330                                    NEGTOVFL                              
049464,000789: 12,2314           00013                           STORE    XMAX                                  
049465,000790: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049466,000791: 12,2316           02643                                    DELX                                  
049467,000792: 12,2317           02643                           STORE    DELX                                  
049468,000793: 12,2320           44254                           BZE      BDSU                                  
049469,000794: 12,2321           02112                                    KEPRTN                                
049470,000795: 12,2322           00025                                    X                                     
049471,000796: 12,2323           14025                           STODL    X                                     
049472,000797: 12,2324           01551                                    TC                                    
049473,000798: 12,2325           00037                           STORE    T                                     
049474,000799: 12,2326           77650                           GOTO                                           
049475,000800: 12,2327           24267                                    BRNCHCTR                              
049476,000801: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049477,000802: 12,2331           77650                           GOTO                                           
049478,000803: 12,2332           24315                                    CMNTOVFL                              
049479,000804: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049480,000805: 12,2334           00041                                    R1                                    
049481,000806: 12,2335           74225                           DSU      VXSC                                  
049482,000807: 12,2336           00035                                    XSQC(XI)                              
049483,000808: 12,2337           02647                                    URRECT                                
049484,000809: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049485,000810: 12,2341           00025                                    X                                     
049486,000811: 12,2342           60316                           DSQ      NORM                                  
049487,000812: 12,2343           00047                                    X1                                    
049488,000813: 12,2344           57275                           DMPR     DMPR                                  
049489,000814: 12,2345           00023                                    1/ROOTMU                              
049490,000815: 12,2346           00025                                    X                                     
049491,000816: 12,2347           53605                           DMP      SRR*                                  
049492,000817: 12,2350           00033                                    S(XI)                                 
049493,000818: 12,2351           21572                                    0          -7,1                       
049494,000819: 12,2352           77621                           BDSU                                           
049495,000820: 12,2353           00037                                    T                                     
049496,000821: 12,2354           74352                           SL1      VXSC                                  
049497,000822: 12,2355           01511                                    VRECT                                 
049498,000823: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049499,000824: 12,2357           77712                           VSL4                                           
049500,000825: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049501,000826: 
049502,000827: 12,2361           60246                           ABVAL    NORM                                  
049503,000828: 12,2362           00050                                    X2                                    
049504,000829: 12,2363           14043                           STODL    RCNORM                                
049505,000830: 12,2364           00031                                    XI                                    
049506,000831: 12,2365           45275                           DMPR     DSU                                   
049507,000832: 12,2366           00033                                    S(XI)                                 
049508,000833: 12,2367           11015                                    D1/128                                

Page 1171

049510,000835: 12,2370           76405                           DMP      SL1R                                  
049511,000836: 12,2371           00021                                    ROOTMU                                
049512,000837: 12,2372           53605                           DMP      SLR*                                  
049513,000838: 12,2373           00025                                    X                                     
049514,000839: 12,2374           56601                                    0          -3,2                       
049515,000840: 12,2375           74271                           DDV      VXSC                                  
049516,000841: 12,2376           00043                                    RCNORM                                
049517,000842: 12,2377           02647                                    URRECT                                
049518,000843: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049519,000844: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049520,000845: 12,2402           56257                           SLR*     DDV                                   
049521,000846: 12,2403           56602                                    0          -4,2                       
049522,000847: 12,2404           00043                                    RCNORM                                
049523,000848: 12,2405           74221                           BDSU     VXSC                                  
049524,000849: 12,2406           11031                                    D1/256                                
049525,000850: 12,2407           01511                                    VRECT                                 
049526,000851: 12,2410           42455                           VAD      VSL8                                  
049527,000852: 12,2411           77626                           STADR                                          #                                PL AT 0
049528,000853: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049529,000854: 12,2413           00037                                    T                                     
049530,000855: 12,2414           15551                           STODL    TC                                    
049531,000856: 12,2415           00025                                    X                                     
049532,000857: 12,2416           01553                           STORE    XPREV                                 
049533,000858: 12,2417           77650                           GOTO                                           
049534,000859: 12,2420           02112                                    KEPRTN                                
049535,000860: 

Page 1172

049537,000862: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049538,000863: 12,2422           07225                           TC       POLY                                  
049539,000864: 12,2423           00010                           DEC      8          B-14                       
049540,000865: 12,2424           02525 12526                     2DEC     .083333334                            
049541,000866: 12,2426           67356 75666                     2DEC     -.266666684                            
049542,000867: 12,2430           15001 23771                     2DEC     .406349155                            
049543,000868: 12,2432           64342 43674                     2DEC     -.361198675                            
049544,000869: 12,2434           06563 04645                     2DEC     .210153242                            
049545,000870: 12,2436           75173 52672                     2DEC     -.086221951                            
049546,000871: 12,2440           00656 14331                     2DEC     .026268812                            
049547,000872: 12,2442           77633 40512                     2DEC     -.006163316                            
049548,000873: 12,2444           00023 11210                     2DEC     .001177342                            
049549,000874: 12,2446           77774 67506                     2DEC     -.000199055                            
049550,000875: 
049551,000876: 12,2450           06042                           TC       INTPRET                               
049552,000877: 12,2451           14033                           STODL    S(XI)                                 
049553,000878: 12,2452           00031                                    XI                                    
049554,000879: 12,2453           77776                           EXIT                                           
049555,000880: 12,2454           07225                           TC       POLY                                  
049556,000881: 12,2455           00010                           DEC      8          B-14                       
049557,000882: 12,2456           01000 00000                     2DEC     .031250001                            
049558,000883: 12,2460           72525 52506                     2DEC     -.166666719                            
049559,000884: 12,2462           13301 15337                     2DEC     .355555413                            
049560,000885: 12,2464           62776 54733                     2DEC     -.406347410                            
049561,000886: 12,2466           11176 13267                     2DEC     .288962094                            
049562,000887: 12,2470           73410 51674                     2DEC     -.140117894                            
049563,000888: 12,2472           01446 33641                     2DEC     .049247387                            
049564,000889: 12,2474           77451 65233                     2DEC     -.013081923                            
049565,000890: 12,2476           00055 37266                     2DEC     .002806389                            
049566,000891: 12,2500           77767 52336                     2DEC     -.000529414                            
049567,000892: 12,2502           06042                           TC       INTPRET                               

Page 1173

049569,000894: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049570,000895: 12,2504           00001                                    0D                                    
049571,000896: 12,2505           21574                                    0          -5,1                       
049572,000897: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049573,000898: 12,2507           72405                           DMP      SL1                                   
049574,000899: 12,2510           00043                                    KEPC1                                 
049575,000900: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049576,000901: 12,2512           21634                                    TPMODE                                #                                PL AT 0,3
049577,000902: 12,2513           53605                           DMP      SRR*                                  
049578,000903: 12,2514           00033                                    S(XI)                                 
049579,000904: 12,2515           21574                                    0          -5,1                       
049580,000905: 12,2516           72405                           DMP      SL1                                   
049581,000906: 12,2517           00045                                    KEPC2                                 
049582,000907: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049583,000908: 12,2521           21634                                    TPMODE                                
049584,000909: 12,2522           00041                                    R1                                    
049585,000910: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049586,000911: 12,2524           20607                                    6                                     
049587,000912: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049588,000913: 12,2526           00047                                    X1                                    
049589,000914: 12,2527           00025                                    X                                     
049590,000915: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049591,000916: 12,2531           20576                                    0          -3,1                       
049592,000917: 12,2532           57232                           SL4R     DMPR                                  
049593,000918: 12,2533           00023                                    1/ROOTMU                              
049594,000919: 12,2534           00037                           STORE    T                                     
049595,000920: 12,2535           77616                           RVQ                                            
049596,000921: 

Page 1174

049598,000923: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049599,000924: 12,2537           00614                                    SLOPESW                               
049600,000925: 12,2540           24606                                    FIRSTIME                              
049601,000926: 12,2541           00037                                    DEP                                   
049602,000927: 12,2542           60225                           DSU      NORM                                  
049603,000928: 12,2543           02762                                    DEPREV                                
049604,000929: 12,2544           00047                                    X1                                    
049605,000930: 12,2545           60325                           PDDL     NORM                                  
049606,000931: 12,2546           00015                                    DELINDEP                              
049607,000932: 12,2547           00050                                    X2                                    
049608,000933: 12,2550           41260                           XSU,1    DMP                                   
049609,000934: 12,2551           00047                                    X2                                    
049610,000935: 12,2552           02760                                    DELDEP                                
049611,000936: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049612,000937: 12,2554           21202                                    1,1                                   
049613,000938: 12,2555           43142                           SR1      BOFF                                  
049614,000939: 12,2556           04351                                    ORDERSW                               
049615,000940: 12,2557           24562                                    SGNCHECK                              
049616,000941: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049617,000942: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049618,000943: 
049619,000944: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049620,000945: 12,2563           24620                                    POSDEL                                
049621,000946: 12,2564           43145                           DLOAD    BON                                   
049622,000947: 12,2565           02766                                    INDEP                                 
049623,000948: 12,2566           04311                                    ORDERSW                               
049624,000949: 12,2567           24571                                    MINCHECK                              
049625,000950: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049626,000951: 
049627,000952: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049628,000953: 12,2572           00011                                    MIN                                   
049629,000954: 12,2573           51000                           BOV      BPL                                   
049630,000955: 12,2574           24600                                    MODNGDEL                              
049631,000956: 12,2575           24600                                    MODNGDEL                              
049632,000957: 12,2576           77650                           GOTO                                           
049633,000958: 12,2577           24632                                    DELOK                                 
049634,000959: 
049635,000960: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049636,000961: 12,2601           00011                                    MIN                                   
049637,000962: 12,2602           02766                                    INDEP                                 
049638,000963: 12,2603           52005                           DMP      GOTO                                  
049639,000964: 12,2604           11033                                    DP9/10                                
049640,000965: 12,2605           24634                                    NEWDEL                                
049641,000966: 
049642,000967: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049643,000968: 12,2607           00011                                    MIN                                   
049644,000969: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049645,000970: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1175

049647,000972: 12,2612           00017                                    MAX                                   
049648,000973: 12,2613           00051                                    TWEEKIT                               
049649,000974: 12,2614           77625                           DSU                                            
049650,000975: 12,2615           52165                           SIGN     GOTO                                  
049651,000976: 12,2616           02760                                    DELDEP                                
049652,000977: 12,2617           24562                                    SGNCHECK                              
049653,000978: 
049654,000979: 12,2620           43145        POSDEL             DLOAD    BON                                   
049655,000980: 12,2621           02766                                    INDEP                                 
049656,000981: 12,2622           04311                                    ORDERSW                               
049657,000982: 12,2623           24625                                    MAXCHECK                              
049658,000983: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049659,000984: 
049660,000985: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049661,000986: 12,2626           00017                                    MAX                                   
049662,000987: 12,2627           50000                           BOV      BMN                                   
049663,000988: 12,2630           24636                                    MODPSDEL                              
049664,000989: 12,2631           24636                                    MODPSDEL                              
049665,000990: 12,2632           77745        DELOK              DLOAD                                          
049666,000991: 12,2633           00001                                    0D                                    
049667,000992: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049668,000993: 12,2635           77616                           RVQ                                            
049669,000994: 
049670,000995: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049671,000996: 12,2637           00017                                    MAX                                   
049672,000997: 12,2640           02766                                    INDEP                                 
049673,000998: 12,2641           52005                           DMP      GOTO                                  
049674,000999: 12,2642           11033                                    DP9/10                                
049675,001000: 12,2643           24634                                    NEWDEL                                
049676,001001: 
049677,001002: 12,2644           44753        CHECKCTR           CS       ONE                                   
049678,001003: 12,2645           50120                           INDEX    FIXLOC                                
049679,001004: 12,2646           60026                           AD       ITERCTR                               
049680,001005: 12,2647           50120                           INDEX    FIXLOC                                
049681,001006: 12,2650           54026                           TS       ITERCTR                               
049682,001007: 12,2651           54154                           TS       MPAC                                  
049683,001008: 12,2652           06064                           TC       DANZIG                                
049684,001009: 

Page 1176

049686,001011: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049687,001012: 12,2654           00041                                    R1                                    
049688,001013: 12,2655           74225                           DSU      VXSC                                  
049689,001014: 12,2656           00035                                    XSQC(XI)                              
049690,001015: 12,2657           02722                                    UR1                                   
049691,001016: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
049692,001017: 12,2661           00025                                    X                                     
049693,001018: 12,2662           60316                           DSQ      NORM                                  
049694,001019: 12,2663           00047                                    X1                                    
049695,001020: 12,2664           57275                           DMPR     DMPR                                  
049696,001021: 12,2665           00023                                    1/ROOTMU                              
049697,001022: 12,2666           00025                                    X                                     
049698,001023: 12,2667           53605                           DMP      SRR*                                  
049699,001024: 12,2670           00033                                    S(XI)                                 
049700,001025: 12,2671           21572                                    0          -7,1                       
049701,001026: 12,2672           77621                           BDSU                                           
049702,001027: 12,2673           00037                                    T                                     
049703,001028: 12,2674           74352                           SL1      VXSC                                  
049704,001029: 12,2675           02744                                    VVEC                                  
049705,001030: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049706,001031: 12,2677           41512                           VSL4     PUSH                                  
049707,001032: 12,2700           77646                           ABVAL                                          
049708,001033: 12,2701           77701        LAMENTER           NORM                                           
049709,001034: 12,2702           00047                                    X1                                    
049710,001035: 12,2703           16720                           STODL    R2                                    
049711,001036: 12,2704           00031                                    XI                                    
049712,001037: 12,2705           45205                           DMP      DSU                                   
049713,001038: 12,2706           00033                                    S(XI)                                 
049714,001039: 12,2707           11015                                    D1/128                                
049715,001040: 12,2710           76405                           DMP      SL1R                                  
049716,001041: 12,2711           00021                                    ROOTMU                                
049717,001042: 12,2712           53605                           DMP      SLR*                                  
049718,001043: 12,2713           00025                                    X                                     
049719,001044: 12,2714           21176                                    0          -3,1                       
049720,001045: 12,2715           74271                           DDV      VXSC                                  
049721,001046: 12,2716           02720                                    R2                                    
049722,001047: 12,2717           02722                                    UR1                                   
049723,001048: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049724,001049: 12,2721           00035                                    XSQC(XI)                              
049725,001050: 12,2722           56257                           SLR*     DDV                                   
049726,001051: 12,2723           21175                                    0          -4,1                       
049727,001052: 12,2724           02720                                    R2                                    
049728,001053: 12,2725           77621                           BDSU                                           
049729,001054: 12,2726           11031                                    D1/256                                
049730,001055: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
049731,001056: 12,2730           02744                                    VVEC                                  
049732,001057: 12,2731           43412                           VSL8     RVQ                                   
049733,001058: 

Page 1177

049735,001060: 04,2000                                           SETLOC   CONICS1                               
049736,001061: 04,2000                                           BANK                                           
049737,001062: 
049738,001063: 04,3011                                           COUNT*   $$/CONIC                              
049739,001064:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049740,001065: 04,3011           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049741,001066: 04,3012           04000 00000  D1/8               2DEC     1.0        B-3                        
049742,001067: 04,3014           00200 00000  D1/128             2DEC     1.0        B-7                        
049743,001068: 04,3016           00400 00000  D1/64              2DEC     1.0        B-6                        
049744,001069: 04,3020           10000 00000  D1/4               2DEC     1.0        B-2                        
049745,001070: 04,3022           02000 00000  D1/16              2DEC     1.0        B-4                        
049746,001071: 04,3024           01000 00000  D1/32              2DEC     1.0        B-5                        
049747,001072: 04,3026           00020 00000  D1/1024            2DEC     1.0        B-10                       
049748,001073: 04,3030           00100 00000  D1/256             2DEC     1.0        B-8                        
049749,001074: 04,3032           34631 23146  DP9/10             2DEC     .9                                    
049750,001075: 04,3034  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049751,001076: 04,3034           77467 77777  -50SC              2DEC     -50.0      B-12                       
049752,001077: 04,3036           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049753,001078: 04,3040  04,3023               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049754,001079: 04,3040  04,3027               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049755,001080: 04,3040           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049756,001081: 04,3042           37767 37737  COGUPLIM           2DEC     .999511597                            
049757,001082: 04,3044           40010 40040  COGLOLIM           2DEC     -.999511597                            
049758,001083: 

Page 1178

049760,001085: 12,2000                                           SETLOC   CONICS                                
049761,001086: 12,2000                                           BANK                                           
049762,001087: 
049763,001088: 12,2732                                           COUNT*   $$/CONIC                              
049764,001089: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049765,001090: 12,2733           02710                                    RTNTT                                 
049766,001091: 12,2734           00001                                    0                                     
049767,001092: 12,2735           77600                           BOV                                            
049768,001093: 12,2736           24737                                    +1                                    
049769,001094: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049770,001095: 12,2740           02655                                    RVEC                                  
049771,001096: 12,2741           02744                                    VVEC                                  
049772,001097: 12,2742           77624                           CALL                                           
049773,001098: 12,2743           11046                                    PARAM                                 
049774,001099: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
049775,001100: 12,2745           24764                                    COGAOVFL                              
049776,001101: 12,2746           24767                                    GETX                                  
049777,001102: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049778,001103: 12,2750           00031                                    XI                                    
049779,001104: 12,2751           04310                                    INFINFLG                              
049780,001105: 12,2752           25752                                    ABTCONIC                              
049781,001106: 12,2753           45014                           CLEAR    CALL                                  
049782,001107: 12,2754           04273                                    COGAFLAG                              
049783,001108: 12,2755           24421                                    DELTIME                               
049784,001109: 12,2756           45014                           BON      CALL                                  
049785,001110: 12,2757           03706                                    RVSW                                  
049786,001111: 12,2760           02710                                    RTNTT                                 
049787,001112: 12,2761           24653                                    NEWSTATE                              
049788,001113: 12,2762           77650                           GOTO                                           
049789,001114: 12,2763           02710                                    RTNTT                                 
049790,001115: 
049791,001116: 12,2764           77614        COGAOVFL           SETGO                                          
049792,001117: 12,2765           04033                                    COGAFLAG                              
049793,001118: 12,2766           25752                                    ABTCONIC                              
049794,001119: 
049795,001120: 04,3046                                           BANK     4                                     
049796,001121: 04,2000                                           SETLOC   CONICS1                               
049797,001122: 04,2000                                           BANK                                           
049798,001123: 04,3046                                           COUNT*   $$/CONIC                              
049799,001124: 04,3046           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049800,001125: 04,3047           02753                                    RTNPRM                                
049801,001126: 04,3050           03665                                    NORMSW                                
049802,001127: 04,3051           77614                           CLEAR                                          
049803,001128: 04,3052           04273                                    COGAFLAG                              
049804,001129: 04,3053           45131                           SSP      CALL                                  
049805,001130: 04,3054           02673                                    GEOMSGN                               
049806,001131: 04,3055           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049807,001132: 04,3056           11112                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049808,001133: 04,3057           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049809,001134: 04,3060           56261                           SR       DDV                                   

Page 1179

049811,001136: 04,3061           20606                                    5                                     
049812,001137: 04,3062           00045                                    36D                                   
049813,001138: 04,3063           32766                           STOVL*   COGA                                  
049814,001139: 04,3064           10005                                    MUTABLE,1                             
049815,001140: 04,3065           14017                           STODL    1/MU                                  
049816,001141: 04,3066           02720                                    MAGVEC2                               
049817,001142: 04,3067           60316                           DSQ      NORM                                  
049818,001143: 04,3070           00047                                    X1                                    
049819,001144: 04,3071           41275                           DMPR     DMP                                   
049820,001145: 04,3072           00017                                    1/MU                                  
049821,001146: 04,3073           00041                                    R1                                    
049822,001147: 04,3074           77657                           SRR*                                           
049823,001148: 04,3075           21576                                    0          -3,1                       
049824,001149: 04,3076           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049825,001150: 04,3077           11025                                    D1/32                                 
049826,001151: 04,3100           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049827,001152: 
049828,001153: 04,3101           60205                           DMP      NORM                                  
049829,001154: 04,3102           00045                                    36D                                   
049830,001155: 04,3103           00047                                    X1                                    
049831,001156: 04,3104           53605                           DMP      SR*                                   
049832,001157: 04,3105           00045                                    36D                                   
049833,001158: 04,3106           20575                                    0          -4,1                       
049834,001159: 04,3107           02740                           STORE    P                                     #  P (+4)
049835,001160: 04,3110           77650                           GOTO                                           
049836,001161: 04,3111           02753                                    RTNPRM                                
049837,001162: 

Page 1180

049839,001164: 04,3112           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049840,001165: 04,3113           16712                           STODL    U2                                    #  U2 (+1)
049841,001166: 04,3114           00045                                    36D                                   
049842,001167: 04,3115           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049843,001168: 04,3116           77656                           UNIT                                           
049844,001169: 04,3117           02722                           STORE    UR1                                   #  UR1 (+1)
049845,001170: 04,3120           72441                           DOT      SL1                                   
049846,001171: 04,3121           02712                                    U2                                    
049847,001172: 04,3122           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049848,001173: 04,3123           00045                                    36D                                   
049849,001174: 04,3124           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049850,001175: 04,3125           02722                                    UR1                                   
049851,001176: 04,3126           76435                           VXV      VSL1                                  
049852,001177: 04,3127           02712                                    U2                                    
049853,001178: 04,3130           75214                           BON      SIGN                                  
049854,001179: 04,3131           03705                                    NORMSW                                
049855,001180: 04,3132           11144                                    HAVENORM                              
049856,001181: 04,3133           02673                                    GEOMSGN                               
049857,001182: 04,3134           40056                           UNIT     BOV                                   
049858,001183: 04,3135           11142                                    COLINEAR                              
049859,001184: 04,3136           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049860,001185: 04,3137           00045                                    36D                                   
049861,001186: 04,3140           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049862,001187: 04,3141           02673                                    GEOMSGN                               
049863,001188: 
049864,001189: 04,3142           52162        COLINEAR           VSR1     GOTO                                  
049865,001190: 04,3143           11136                                    UNITNORM                              
049866,001191: 
049867,001192: 04,3144           75246        HAVENORM           ABVAL    SIGN                                  
049868,001193: 04,3145           02673                                    GEOMSGN                               
049869,001194: 04,3146           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049870,001195: 

Page 1181

049872,001197: 12,2767                                           BANK     12                                    
049873,001198: 12,2000                                           SETLOC   CONICS                                
049874,001199: 12,2000                                           BANK                                           
049875,001200: 
049876,001201: 12,2767                                           COUNT*   $$/CONIC                              
049877,001202: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049878,001203: 12,2770           00003                                    3                                     
049879,001204: 12,2771           00052                                    S2                                    
049880,001205: 12,2772           00001                                    1                                     
049881,001206: 12,2773           77614                           CLEAR                                          
049882,001207: 12,2774           04276                                    360SW                                 
049883,001208: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049884,001209: 12,2776           02732                                    CSTH                                  
049885,001210: 12,2777           44342                           SR1      BDSU                                  
049886,001211: 12,3000           11021                                    D1/4                                  
049887,001212: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049888,001213: 12,3002           02730                                    SNTH                                  
049889,001214: 12,3003           21607                                    6                                     
049890,001215: 12,3004           77671                           DDV                                            #                                PL AT 2
049891,001216: 12,3005           77600                           BOV                                            
049892,001217: 12,3006           25122                                    360CHECK                              
049893,001218: 12,3007           41225                           DSU      DMP                                   
049894,001219: 12,3010           02766                                    COGA                                  #                                PL AT 0
049895,001220: 12,3011           40132                           SL2R     BOV                                   
049896,001221: 12,3012           25122                                    360CHECK                              
049897,001222: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049898,001223: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049899,001224: 12,3015           00155                                    MPAC                                  
049900,001225: 12,3016           02742                                    R1A                                   
049901,001226: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049902,001227: 12,3020           75440                           BMN      SQRT                                  
049903,001228: 12,3021           25205                                    INFINITY                              
049904,001229: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049905,001230: 12,3023           61000                           BOV      TIX,2                                 
049906,001231: 12,3024           25120                                    RESETX2                               
049907,001232: 12,3025           25013                                    WLOOP                                 
049908,001233: 
049909,001234: 12,3026           40065                           BDDV     BOV                                   
049910,001235: 12,3027           11015                                    D1/128                                
049911,001236: 12,3030           25205                                    INFINITY                              
049912,001237: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049913,001238: 12,3032           25205                                    INFINITY                              
049914,001239: 12,3033           77716                           DSQ                                            
049915,001240: 12,3034           41301                           NORM     DMP                                   
049916,001241: 12,3035           00047                                    X1                                    
049917,001242: 12,3036           02742                                    R1A                                   
049918,001243: 12,3037           77457                           SRR*     EXIT                                  
049919,001244: 12,3040           21567                                    0          -10D,1                     
049920,001245: 12,3041           07225                           TC       POLY                                  

Page 1182

049922,001247: 12,3042           00005                           DEC      5          B-14                       
049923,001248: 12,3043           20000 00000                     2DEC     .5                                    
049924,001249: 12,3045           72525 52471                     2DEC     -.166666770                            
049925,001250: 12,3047           03146 15003                     2DEC     .100000392                            
049926,001251: 12,3051           75556 45210                     2DEC     -.071401086                            
049927,001252: 12,3053           01615 13553                     2DEC     .055503292                            
049928,001253: 12,3055           76371 63777                     2DEC     -.047264098                            
049929,001254: 12,3057           01232 27367                     2DEC     .040694204                            
049930,001255: 
049931,001256: 12,3061           06042                           TC       INTPRET                               
049932,001257: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049933,001258: 12,3063           43006                           PUSH     BON                                   
049934,001259: 12,3064           04316                                    360SW                                 
049935,001260: 12,3065           25172                                    TRUE360X                              
049936,001261: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049937,001262: 12,3067           00047                                    X1                                    
049938,001263: 12,3070           53605                           DMP      SRR*                                  
049939,001264: 12,3071           02742                                    R1A                                   
049940,001265: 12,3072           21565                                    0          -12D,1                     
049941,001266: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049942,001267: 12,3074           00041                                    R1                                    
049943,001268: 12,3075           75542                           SR1      SQRT                                  
049944,001269: 12,3076           41306                           ROUND    DMP                                   
049945,001270: 12,3077           77632                           SL4R                                           #                                PL AT 0
049946,001271: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049947,001272: 
049948,001273: 12,3101           60316                           DSQ      NORM                                  
049949,001274: 12,3102           00047                                    X1                                    
049950,001275: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049951,001276: 12,3104           02740                                    P                                     
049952,001277: 12,3105           00041                                    R1                                    
049953,001278: 12,3106           75452                           SL3      SQRT                                  
049954,001279: 12,3107           56405                           DMP      SL3R                                  
049955,001280: 12,3110           02766                                    COGA                                  
049956,001281: 12,3111           14043                           STODL    KEPC1                                 
049957,001282: 12,3112           02742                                    R1A                                   
049958,001283: 12,3113           43021                           BDSU     CLEAR                                 
049959,001284: 12,3114           11017                                    D1/64                                 
049960,001285: 12,3115           04270                                    INFINFLG                              
049961,001286: 12,3116           00045                           STORE    KEPC2                                 
049962,001287: 12,3117           77616                           RVQ                                            
049963,001288: 

Page 1183

049965,001290: 12,3120           77774        RESETX2            AXT,2                                          
049966,001291: 12,3121           00003                                    3                                     
049967,001292: 
049968,001293: 12,3122           51001        360CHECK           SETPD    BPL                                   
049969,001294: 12,3123           00001                                    0D                                    
049970,001295: 12,3124           25127                                    INVRSEQN                              
049971,001296: 12,3125           77614                           SET                                            
049972,001297: 12,3126           04076                                    360SW                                 
049973,001298: 
049974,001299: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
049975,001300: 12,3130           02740                                    P                                     
049976,001301: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
049977,001302: 12,3132           02730                                    SNTH                                  
049978,001303: 12,3133           02766                                    COGA                                  
049979,001304: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
049980,001305: 12,3135           02732                                    CSTH                                  
049981,001306: 12,3136           43202                           SR4      DAD                                   
049982,001307: 12,3137           11025                                    D1/32                                 
049983,001308: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
049984,001309: 12,3141           55301                           NORM     BDDV                                  
049985,001310: 12,3142           00047                                    X1                                    
049986,001311: 12,3143           02730                                    SNTH                                  
049987,001312: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
049988,001313: 12,3145           21174                                    0          -5,1                       
049989,001314: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
049990,001315: 12,3147           14043                           STODL    34D                                   
049991,001316: 12,3150           11023                                    D1/16                                 
049992,001317: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
049993,001318: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
049994,001319: 12,3153           21634                                    TPMODE                                
049995,001320: 12,3154           02742                                    R1A                                   
049996,001321: 12,3155           40405                           DMP      SR4                                   
049997,001322: 12,3156           00043                                    34D                                   
049998,001323: 12,3157           77771                           TAD                                            #                                PL AT 4
049999,001324: 12,3160           75440                           BMN      SQRT                                  
050000,001325: 12,3161           25205                                    INFINITY                              
050001,001326: 12,3162           77615                           DAD                                            #                                PL AT 2
050002,001327: 12,3163           60304                           TIX,2    NORM                                  
050003,001328: 12,3164           25151                                    1/WLOOP                               
050004,001329: 12,3165           00047                                    X1                                    
050005,001330: 12,3166           77665                           BDDV                                           
050006,001331: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
050007,001332: 12,3170           21172                                    0          -7,1                       
050008,001333: 12,3171           25031                                    POLYCOEF                              
050009,001334: 
050010,001335: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050011,001336: 12,3173           02742                                    R1A                                   

Page 1184

050013,001338: 12,3174           25205                                    INFINITY                              
050014,001339: 12,3175           60366                           SQRT     NORM                                  
050015,001340: 12,3176           00047                                    X1                                    
050016,001341: 12,3177           53665                           BDDV     SL*                                   
050017,001342: 12,3200           11037                                    2PISC                                 
050018,001343: 12,3201           20176                                    0          -3,1                       
050019,001344: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
050020,001345: 12,3203           77650                           GOTO                                           
050021,001346: 12,3204           25066                                    XCOMMON                               
050022,001347: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050023,001348: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050024,001349: 12,3207           25210                                    OVFLCLR                               
050025,001350: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050026,001351: 12,3211           04070                                    INFINFLG                              
050027,001352: 

Page 1185

050029,001354: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050030,001355: 12,3213           02710                                    RTNLAMB                               
050031,001356: 12,3214           00001                                    0D                                    
050032,001357: 12,3215           77600                           BOV                                            
050033,001358: 12,3216           25217                                    +1                                    
050034,001359: 12,3217           76614                           CLEAR    VLOAD*                                
050035,001360: 12,3220           02674                                    SOLNSW                                
050036,001361: 12,3221           10005                                    MUTABLE,1                             
050037,001362: 12,3222           14017                           STODL    1/MU                                  
050038,001363: 12,3223           02671                                    TDESIRED                              
050039,001364: 12,3224           77675                           DMPR                                           
050040,001365: 12,3225           11024                                    BEE19                                 
050041,001366: 12,3226           02764                           STORE    EPSILONL                              
050042,001367: 12,3227           77214                           SET      VLOAD                                 
050043,001368: 12,3230           00474                                    SLOPESW                               
050044,001369: 12,3231           02655                                    R1VEC                                 
050045,001370: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050046,001371: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050047,001372: 12,3234           11112                                    GEOM                                  
050048,001373: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050049,001374: 12,3236           02720                                    MAGVEC2                               
050050,001375: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050051,001376: 12,3240           00047                                    X1                                    
050052,001377: 12,3241           00041                                    R1                                    
050053,001378: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050054,001379: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050055,001380: 12,3244           20173                                    0          -6,1                       
050056,001381: 12,3245           77626                           STADR                                          
050057,001382: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050058,001383: 12,3247           44342                           SR1      BDSU                                  
050059,001384: 12,3250           11021                                    D1/4                                  
050060,001385: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050061,001386: 
050062,001387: 12,3252           53106                           ROUND    BZE                                   
050063,001388: 12,3253           25473                                    360LAMB                               
050064,001389: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050065,001390: 12,3255           00047                                    X1                                    
050066,001391: 12,3256           00001                                    0D                                    
050067,001392: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050068,001393: 12,3260           75457                           SL*      SQRT                                  
050069,001394: 12,3261           20176                                    0          -3,1                       
050070,001395: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050071,001396: 12,3263           02730                                    SNTH                                  
050072,001397: 12,3264           20607                                    6                                     
050073,001398: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050074,001399: 12,3266           02734                                    1-CSTH                                
050075,001400: 12,3267           77626                           STADR                                          
050076,001401: 12,3270           77760                           STORE    COGAMAX                               
050077,001402: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050078,001403: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1186

050080,001405: 12,3273           25302                                    MAXCOGA                               #    THIS WOULD BE RESET IN LAMBLOOP
050081,001406: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050082,001407: 12,3275           11043                                    COGUPLIM                              
050083,001408: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050084,001409: 12,3277           77745        UPLIM              DLOAD                                          
050085,001410: 12,3300           11043                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050086,001411: 12,3301           00017                           STORE    COGAMAX                               #    NOT CAUSING OVFL IN R1A CALCULATION
050087,001412: 12,3302           77745        MAXCOGA            DLOAD                                          
050088,001413: 12,3303           02732                                    CSTH                                  
050089,001414: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
050090,001415: 12,3305           20607                                    6                                     
050091,001416: 12,3306           77626                           STADR                                          
050092,001417: 12,3307           61041                           STODL    CSTH-RHO                              
050093,001418: 12,3310           02673                                    GEOMSGN                               
050094,001419: 12,3311           71240                           BMN      DLOAD                                 
050095,001420: 12,3312           25513                                    LOLIM                                 
050096,001421: 12,3313           02736                                    CSTH-RHO                              
050097,001422: 12,3314           56352                           SL1      DDV                                   
050098,001423: 12,3315           02730                                    SNTH                                  
050099,001424: 12,3316           77600                           BOV                                            
050100,001425: 12,3317           25513                                    LOLIM                                 
050101,001426: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050102,001427: 12,3321           66214                           BON      SSP                                   
050103,001428: 12,3322           00715                                    GUESSW                                
050104,001429: 12,3323           25477                                    NOGUESS                               
050105,001430: 12,3324           00051                                    TWEEKIT                               
050106,001431: 12,3325           00001                                    00001                                 
050107,001432: 12,3326           77745                           DLOAD                                          
050108,001433: 12,3327           02766                                    COGA                                  
050109,001434: 
050110,001435: 12,3330           77605        LAMBLOOP           DMP                                            
050111,001436: 12,3331           02730                                    SNTH                                  
050112,001437: 12,3332           45342                           SR1      DSU                                   
050113,001438: 12,3333           02736                                    CSTH-RHO                              
050114,001439: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050115,001440: 12,3335           00047                                    X1                                    
050116,001441: 12,3336           02734                                    1-CSTH                                
050117,001442: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
050118,001443: 12,3340           20170                                    0          -9D,1                      
050119,001444: 12,3341           53040                           BMN      BZE                                   
050120,001445: 12,3342           25427                                    NEGP                                  
050121,001446: 12,3343           25427                                    NEGP                                  
050122,001447: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050123,001448: 12,3345           02766                                    COGA                                  
050124,001449: 12,3346           43316                           DSQ      DAD                                   
050125,001450: 12,3347           11027                                    D1/1024                               
050126,001451: 12,3350           41301                           NORM     DMP                                   
050127,001452: 12,3351           00047                                    X1                                    
050128,001453: 12,3352           02740                                    P                                     

Page 1187

050130,001455: 12,3353           44257                           SR*      BDSU                                  
050131,001456: 12,3354           20571                                    0          -8D,1                      
050132,001457: 12,3355           11025                                    D1/32                                 
050133,001458: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050134,001459: 12,3357           02740                                    P                                     
050135,001460: 12,3360           45000                           BOV      CALL                                  
050136,001461: 12,3361           25432                                    HIENERGY                              
050137,001462: 12,3362           24767                                    GETX                                  
050138,001463: 12,3363           77745                           DLOAD                                          
050139,001464: 12,3364           00037                                    T                                     
050140,001465: 12,3365           16762                           STODL    TPREV                                 
050141,001466: 12,3366           00031                                    XI                                    
050142,001467: 12,3367           45014                           BON      CALL                                  
050143,001468: 12,3370           04310                                    INFINFLG                              
050144,001469: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050145,001470: 12,3372           24421                                    DELTIME                               
050146,001471: 12,3373           44200                           BOV      BDSU                                  
050147,001472: 12,3374           25447                                    BIGTIME                               
050148,001473: 12,3375           02671                                    TDESIRED                              
050149,001474: 12,3376           02760                           STORE    TERRLAMB                              
050150,001475: 12,3377           44246                           ABS      BDSU                                  
050151,001476: 12,3400           02764                                    EPSILONL                              
050152,001477: 12,3401           47044                           BPL      RTB                                   
050153,001478: 12,3402           25516                                    INITV                                 
050154,001479: 12,3403           24644                                    CHECKCTR                              
050155,001480: 12,3404           43030                           BHIZ     BON                                   
050156,001481: 12,3405           25460                                    SUFFCHEK                              
050157,001482: 12,3406           00714                                    SLOPESW                               
050158,001483: 12,3407           25415                                    GOITER                                
050159,001484: 12,3410           45345                           DLOAD    DSU                                   
050160,001485: 12,3411           00037                                    T                                     
050161,001486: 12,3412           02762                                    TPREV                                 
050162,001487: 12,3413           77654                           BZE                                            
050163,001488: 12,3414           25460                                    SUFFCHEK                              
050164,001489: 12,3415           77624        GOITER             CALL                                           
050165,001490: 12,3416           24536                                    ITERATOR                              
050166,001491: 12,3417           53145                           DLOAD    BZE                                   
050167,001492: 12,3420           00155                                    MPAC                                  
050168,001493: 12,3421           25460                                    SUFFCHEK                              
050169,001494: 12,3422           77615                           DAD                                            
050170,001495: 12,3423           02766                                    COGA                                  
050171,001496: 12,3424           02766                           STORE    COGA                                  
050172,001497: 12,3425           77650                           GOTO                                           
050173,001498: 12,3426           25330                                    LAMBLOOP                              
050174,001499: 
050175,001500: 
050176,001501: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050177,001502: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
050178,001503: 12,3431           25452                                    LOENERGY                              
050179,001504: 

Page 1188

050181,001506: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050182,001507: 12,3433           00001                                    0                                     
050183,001508: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050184,001509: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050185,001510: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
050186,001511: 12,3437           00015                                    DCOGA                                 
050187,001512: 
050188,001513: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050189,001514: 12,3441           44254                           BZE      BDSU                                  
050190,001515: 12,3442           25460                                    SUFFCHEK                              
050191,001516: 12,3443           02766                                    COGA                                  
050192,001517: 12,3444           02766                           STORE    COGA                                  
050193,001518: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
050194,001519: 12,3446           25330                                    LAMBLOOP                              
050195,001520: 
050196,001521: 12,3447           77745        BIGTIME            DLOAD                                          
050197,001522: 12,3450           02762                                    TPREV                                 
050198,001523: 12,3451           00037                           STORE    T                                     
050199,001524: 
050200,001525: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050201,001526: 12,3453           00001                                    0                                     
050202,001527: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050203,001528: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050204,001529: 12,3456           77650                           GOTO                                           
050205,001530: 12,3457           25436                                    COMMONLM                              
050206,001531: 
050207,001532: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
050208,001533: 12,3461           02760                                    TERRLAMB                              
050209,001534: 12,3462           41325                           PDDL     DMP                                   #                                PL AT 2D
050210,001535: 12,3463           02671                                    TDESIRED                              
050211,001536: 12,3464           11012                                    BEE17                                 
050212,001537: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
050213,001538: 12,3466           11041                                    ONEBIT                                
050214,001539: 12,3467           43044                           BPL      SETGO                                 
050215,001540: 12,3470           25516                                    INITV                                 
050216,001541: 12,3471           02434                                    SOLNSW                                
050217,001542: 12,3472           25516                                    INITV                                 
050218,001543: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050219,001544: 12,3474           00001                                    0                                     
050220,001545: 12,3475           02434                                    SOLNSW                                
050221,001546: 12,3476           02710                                    RTNLAMB                               
050222,001547: 
050223,001548: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
050224,001549: 12,3500           00051                                    TWEEKIT                               
050225,001550: 12,3501           10000                                    20000                                 
050226,001551: 12,3502           00011                                    COGAMIN                               
050227,001552: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2

Page 1189

050229,001554: 12,3504           00017                                    COGAMAX                               
050230,001555: 12,3505           43342                           SR1      DAD                                   
050231,001556: 12,3506           77626                           STADR                                          #                                PL AT 0
050232,001557: 12,3507           75011                           STORE    COGA                                  
050233,001558: 12,3510           00015                           STORE    DCOGA                                 
050234,001559: 12,3511           77650                           GOTO                                           
050235,001560: 12,3512           25330                                    LAMBLOOP                              
050236,001561: 
050237,001562: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
050238,001563: 12,3514           11045                                    COGLOLIM                              #  COGLOLIM=-.999511597
050239,001564: 12,3515           25320                                    MINCOGA                               
050240,001565: 
050241,001566: 12,3516           60345        INITV              DLOAD    NORM                                  
050242,001567: 12,3517           00041                                    R1                                    
050243,001568: 12,3520           00047                                    X1                                    
050244,001569: 12,3521           70525                           PDDL     SR1                                   #                                PL AT 2
050245,001570: 12,3522           02740                                    P                                     
050246,001571: 12,3523           77671                           DDV                                            #                                PL AT 0
050247,001572: 12,3524           75457                           SL*      SQRT                                  
050248,001573: 12,3525           20175                                    0          -4,1                       
050249,001574: 12,3526           72405                           DMP      SL1                                   
050250,001575: 12,3527           00021                                    ROOTMU                                
050251,001576: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
050252,001577: 12,3531           02766                                    COGA                                  
050253,001578: 12,3532           74261                           SL       VXSC                                  
050254,001579: 12,3533           20206                                    5                                     
050255,001580: 12,3534           02722                                    UR1                                   
050256,001581: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
050257,001582: 12,3536           76561                           VXSC     VSL1                                  
050258,001583: 12,3537           02674                                    UN                                    
050259,001584: 12,3540           53235                           VXV      VAD                                   #                                PL AT 0
050260,001585: 12,3541           02722                                    UR1                                   
050261,001586: 12,3542           77772                           VSL1                                           
050262,001587: 12,3543           02744                           STORE    VVEC                                  
050263,001588: 12,3544           53135                           SLOAD    BZE                                   
050264,001589: 12,3545           02702                                    VTARGTAG                              
050265,001590: 12,3546           25551                                    TARGETV                               
050266,001591: 12,3547           77650                           GOTO                                           
050267,001592: 12,3550           02710                                    RTNLAMB                               
050268,001593: 
050269,001594: 12,3551           45145        TARGETV            DLOAD    CALL                                  
050270,001595: 12,3552           02720                                    MAGVEC2                               
050271,001596: 12,3553           24701                                    LAMENTER                              
050272,001597: 12,3554           02703                           STORE    VTARGET                               
050273,001598: 12,3555           77650                           GOTO                                           
050274,001599: 12,3556           02710                                    RTNLAMB                               
050275,001600: 

Page 1190

050277,001602: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
050278,001603: 12,3560           02710                                    RTNTR                                 
050279,001604: 12,3561           00001                                    0                                     
050280,001605: 12,3562           77600                           BOV                                            
050281,001606: 12,3563           25564                                    +1                                    
050282,001607: 12,3564           63375                           VLOAD    PDVL                                  #                                PL AT 6
050283,001608: 12,3565           02655                                    RVEC                                  
050284,001609: 12,3566           02744                                    VVEC                                  
050285,001610: 12,3567           77624                           CALL                                           
050286,001611: 12,3570           11046                                    PARAM                                 
050287,001612: 12,3571           71200                           BOV      DLOAD                                 #                                PL AT 0
050288,001613: 12,3572           24764                                    COGAOVFL                              
050289,001614: 12,3573           11025                                    D1/32                                 
050290,001615: 12,3574           41225                           DSU      DMP                                   
050291,001616: 12,3575           02742                                    R1A                                   
050292,001617: 12,3576           02740                                    P                                     
050293,001618: 12,3577           41366                           SQRT     DMP                                   
050294,001619: 12,3600           02766                                    COGA                                  
050295,001620: 12,3601           74212                           SL4      VXSC                                  
050296,001621: 12,3602           02712                                    U2                                    
050297,001622: 12,3603           45325                           PDDL     DSU                                   #                                PL AT 6
050298,001623: 12,3604           11017                                    D1/64                                 
050299,001624: 12,3605           02742                                    R1A                                   
050300,001625: 12,3606           52361                           VXSC     VSU                                   #                                PL AT 0
050301,001626: 12,3607           02722                                    UR1                                   
050302,001627: 12,3610           53512                           VSL4     UNIT                                  
050303,001628: 12,3611           77600                           BOV                                            
050304,001629: 12,3612           25670                                    CIRCULAR                              
050305,001630: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
050306,001631: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
050307,001632: 12,3615           00047                                    X1                                    
050308,001633: 12,3616           41325                           PDDL     DMP                                   #                                PL AT 8
050309,001634: 12,3617           00041                                    R1                                    
050310,001635: 12,3620           02740                                    P                                     
050311,001636: 12,3621           56257                           SL*      DDV                                   #                                PL AT 6
050312,001637: 12,3622           20201                                    0,1                                   
050313,001638: 12,3623           56225                           DSU      DDV                                   
050314,001639: 12,3624           11023                                    D1/16                                 
050315,001640: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
050316,001641: 12,3626           00031                           STORE    COSF                                  
050317,001642: 12,3627           63400                           BOV      DSQ                                   
050318,001643: 12,3630           25674                                    BADR2                                 
050319,001644: 12,3631           50021                           BDSU     BMN                                   
050320,001645: 12,3632           11021                                    D1/4                                  
050321,001646: 12,3633           25674                                    BADR2                                 
050322,001647: 12,3634           75366                           SQRT     SIGN                                  
050323,001648: 12,3635           02755                                    SGNRDOT                               
050324,001649: 12,3636           77614                           CLEAR                                          
050325,001650: 12,3637           04272                                    APSESW                                

Page 1191

050327,001652: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
050328,001653: 12,3641           02674                                    UN                                    
050329,001654: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
050330,001655: 12,3643           00001                                    0D                                    
050331,001656: 12,3644           53361                           VXSC     VAD                                   #                                PL AT 0
050332,001657: 12,3645           00031                                    COSF                                  
050333,001658: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
050334,001659: 
050335,001660: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050336,001661: 12,3650           02722                                    UR1                                   
050337,001662: 12,3651           25766                                    DP1/4                                 
050338,001663: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050339,001664: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
050340,001665: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
050341,001666: 12,3655           02722                                    UR1                                   
050342,001667: 12,3656           76435                           VXV      VSL1                                  
050343,001668: 12,3657           72441                           DOT      SL1                                   
050344,001669: 12,3660           02674                                    UN                                    
050345,001670: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
050346,001671: 12,3662           02740                                    P                                     
050347,001672: 12,3663           77624                           CALL                                           
050348,001673: 12,3664           24767                                    GETX                                  
050349,001674: 12,3665           77614                           CLRGO                                          
050350,001675: 12,3666           02634                                    SOLNSW                                
050351,001676: 12,3667           24747                                    COMMNOUT                              
050352,001677: 
050353,001678: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
050354,001679: 12,3671           00001                                    0                                     
050355,001680: 12,3672           02434                                    SOLNSW                                
050356,001681: 12,3673           25752                                    ABTCONIC                              
050357,001682: 
050358,001683: 12,3674           75345        BADR2              DLOAD    SIGN                                  
050359,001684: 12,3675           24005                                    LODPHALF                              
050360,001685: 12,3676           00031                                    COSF                                  
050361,001686: 12,3677           14031                           STODL    COSF                                  
050362,001687: 12,3700           24007                                    KEPZERO                               
050363,001688: 12,3701           77614                           SETGO                                          
050364,001689: 12,3702           04032                                    APSESW                                
050365,001690: 12,3703           25640                                    TERMNVEC                              
050366,001691: 

Page 1192

050368,001693: 12,3704           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
050369,001694: 12,3705           02710                                    RTNAPSE                               
050370,001695: 12,3706           00001                                    0D                                    
050371,001696: 12,3707           77600                           BOV                                            
050372,001697: 12,3710           25711                                    +1                                    
050373,001698: 12,3711           63375                           VLOAD    PDVL                                  #                                PL AT 6
050374,001699: 12,3712           02655                                    RVEC                                  
050375,001700: 12,3713           02744                                    VVEC                                  
050376,001701: 12,3714           77624                           CALL                                           
050377,001702: 12,3715           11046                                    PARAM                                 
050378,001703: 12,3716           77600                           BOV                                            #                                PL AT 0
050379,001704: 12,3717           25720                                    GETECC                                
050380,001705: 12,3720           42405        GETECC             DMP      SL4                                   
050381,001706: 12,3721           02742                                    R1A                                   
050382,001707: 12,3722           75421                           BDSU     SQRT                                  
050383,001708: 12,3723           11017                                    D1/64                                 
050384,001709: 12,3724           02752                           STORE    ECC                                   
050385,001710: 12,3725           65215                           DAD      PDDL                                  #                                PL AT 2
050386,001711: 12,3726           11013                                    D1/8                                  
050387,001712: 12,3727           00041                                    R1                                    
050388,001713: 12,3730           72405                           DMP      SL1                                   
050389,001714: 12,3731           02740                                    P                                     
050390,001715: 12,3732           77671                           DDV                                            #                                PL AT 0
050391,001716: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
050392,001717: 12,3734           02742                                    R1A                                   
050393,001718: 12,3735           00047                                    X1                                    
050394,001719: 12,3736           53725                           PDDL     SL*                                   #                                PL AT 4
050395,001720: 12,3737           00041                                    R1                                    
050396,001721: 12,3740           20174                                    0          -5,1                       
050397,001722: 12,3741           45271                           DDV      DSU                                   #                                PL AT 2,0
050398,001723: 12,3742           50000                           BOV      BMN                                   
050399,001724: 12,3743           25747                                    INFINAPO                              
050400,001725: 12,3744           25747                                    INFINAPO                              
050401,001726: 12,3745           77650                           GOTO                                           
050402,001727: 12,3746           02710                                    RTNAPSE                               
050403,001728: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050404,001729: 12,3750           24020                                    LDPOSMAX                              
050405,001730: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050406,001731: 

Page 1193

050408,001733: 12,3752           77776        ABTCONIC           EXIT                                           
050409,001734: 12,3753           05642                           TC       POODOO                                
050410,001735: 12,3754           20607                           OCT      20607                                 
050411,001736: 
050412,001737: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050413,001738: 
050414,001739:                                                                                                  #  ERASABLE ASSIGNMENTS
050415,001740: 
050416,001741:                                                                                                  #  KEPLER SUBROUTINE
050417,001742: 
050418,001743:                                                                                                  #     INPUT -
050419,001744:                                                                                                  #  RRECT    ERASE  +5
050420,001745:                                                                                                  #  VRECT    ERASE  +5
050421,001746:                                                                                                  #  TAU.     ERASE  +1
050422,001747:                                                                                                  #  XKEP     ERASE  +1
050423,001748:                                                                                                  #  TC       ERASE  +1
050424,001749:                                                                                                  #  XPREV    ERASE  +1
050425,001750: 12,3755                        1/MU               EQUALS   14D                                   
050426,001751: 12,3755                        ROOTMU             EQUALS   16D                                   
050427,001752: 12,3755                        1/ROOTMU           EQUALS   18D                                   
050428,001753: 
050429,001754:                                                                                                  #     OUTPUT -
050430,001755:                                                                                                  #  RCV      ERASE  +5
050431,001756:                                                                                                  #  VCV      ERASE  +5
050432,001757:                                                                                                  #  RC       ERASE  +1
050433,001758:                                                                                                  #  XPREV    ERASE  +1
050434,001759: 
050435,001760:                                                                                                  #  DEBRIS -
050436,001761: 12,3755                        ALPHA              EQUALS   8D                                    
050437,001762: 12,3755                        XMAX               EQUALS   10D                                   
050438,001763: 12,3755                        XMIN               EQUALS   12D                                   
050439,001764: 12,3755                        X                  EQUALS   20D                                   
050440,001765: 12,3755                        XI                 EQUALS   24D                                   
050441,001766: 12,3755                        S(XI)              EQUALS   26D                                   
050442,001767: 12,3755                        XSQC(XI)           EQUALS   28D                                   
050443,001768: 12,3755                        T                  EQUALS   30D                                   
050444,001769: 12,3755                        R1                 EQUALS   32D                                   
050445,001770: 12,3755                        KEPC1              EQUALS   34D                                   
050446,001771: 12,3755                        KEPC2              EQUALS   36D                                   
050447,001772:                                                                                                  #  DELX     ERASE  +1
050448,001773:                                                                                                  #  DELT     ERASE  +1
050449,001774:                                                                                                  #  URRECT   ERASE  +5
050450,001775:                                                                                                  #  RCNORM   ERASE  +1
050451,001776:                                                                                                  #  XPREV    EQUALS XKEP
050452,001777: 
050453,001778: 
050454,001779:                                                                                                  #  LAMBERT SUBROUTINE
050455,001780: 
050456,001781:                                                                                                  #     INPUT-
050457,001782:                                                                                                  #  R1VEC    ERASE  +5

Page 1194

050459,001784:                                                                                                  #  R2VEC    ERASE  +5
050460,001785:                                                                                                  #  TDESIRED ERASE  +1
050461,001786:                                                                                                  #  GEOMSGN  ERASE  +0
050462,001787:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
050463,001788:                                                                                                  #  COGA     ERASE  +1            INPUT ONLY IF GUESSW IS ZERO.
050464,001789:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050465,001790:                                                                                                  #  UN       ERASE  +5            ONLY USED IF NORMSW IS 1
050466,001791:                                                                                                  #  VTARGTAG ERASE  +0
050467,001792:                                                                                                  #  TWEEKIT  EQUALS 40D           ONLY USED IF GUESSW IS 0
050468,001793: 
050469,001794:                                                                                                  #     OUTPUT -
050470,001795:                                                                                                  #  VTARGET  ERASE  +5            AVAILABLE ONLY IF VTARGTAG IS ZERO.
050471,001796:                                                                                                  #  V1VEC    EQUALS MPAC
050472,001797: 
050473,001798:                                                                                                  #     DEBRIS -
050474,001799:                                                                                                  #  RTNLAMB  ERASE  +0
050475,001800:                                                                                                  #  U2       ERASE  +5
050476,001801:                                                                                                  #  MAGVEC2  ERASE  +1
050477,001802:                                                                                                  #  UR1      ERASE  +5
050478,001803:                                                                                                  #  R1       EQUALS 31D
050479,001804:                                                                                                  #  UN       ERASE  +5
050480,001805:                                                                                                  #  SNTH     ERASE  +1
050481,001806:                                                                                                  #  CSTH     ERASE  +1
050482,001807:                                                                                                  #  1-CSTH   ERASE  +1
050483,001808:                                                                                                  #  CSTH-RHO ERASE  +1
050484,001809: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050485,001810: 12,3755                        COGAMIN            EQUALS   8D                                    
050486,001811: 12,3755                        DCOGA              EQUALS   12D                                   
050487,001812:                                                                                                  #  TWEEKIT  EQUALS 40D
050488,001813:                                                                                                  #  P        ERASE  +1
050489,001814:                                                                                                  #  COGA     ERASE  +1
050490,001815:                                                                                                  #  R1A      ERASE  +1
050491,001816:                                                                                                  #  X        EQUALS 20D
050492,001817:                                                                                                  #  XSQ      EQUALS 22D
050493,001818:                                                                                                  #  XI       EQUALS 24D
050494,001819:                                                                                                  #  S(XI)    EQUALS 26D
050495,001820:                                                                                                  #  XSQC(XI) EQUALS 28D
050496,001821:                                                                                                  #  T        EQUALS 30D
050497,001822:                                                                                                  #  KEPC1    EQUALS 34D
050498,001823:                                                                                                  #  KEPC2    EQUALS 36D
050499,001824:                                                                                                  #  SLOPESW
050500,001825:                                                                                                  #  SOLNSW
050501,001826: 
050502,001827:                                                                                                  #  OTHERS -
050503,001828:                                                                                                  #  RVEC     EQUALS R1VEC
050504,001829:                                                                                                  #  VVEC     ERASE  +5
050505,001830:                                                                                                  #  COGAFLAG
050506,001831:                                                                                                  #  RVSW
050507,001832:                                                                                                  #  INFINFLG
050508,001833:                                                                                                  #  APSESW

Page 1195

050510,001835:                                                                                                  #  360SW
050511,001836:                                                                                                  #  RTNTT    EQUALS RTNLAMB
050512,001837:                                                                                                  #  ECC      ERASE  +1
050513,001838:                                                                                                  #  RTNTR    EQUALS RTNLAMB
050514,001839:                                                                                                  #  RTNAPSE  EQUALS  RTNLAMB
050515,001840:                                                                                                  #  R2       EQUALS MAGVEC2
050516,001841: 12,3755                        COSF               EQUALS   24D                                   
050517,001842:                                                                                                  #  RTNPRM   ERASE  +0
050518,001843:                                                                                                  #  SGNRDOT  ERASE  +0
050519,001844:                                                                                                  #  RDESIRED ERASE  +1
050520,001845: 
050521,001846:                                                                                                  #  ITERATOR SUBROUTINE
050522,001847:                                                                                                  #  ORDERSW
050523,001848: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050524,001849: 12,3755                        MIN                EQUALS   8D                                    
050525,001850: 
050526,001851:                                                                                                  #  INDEP    ERASE  +1
050527,001852: 12,3755                        DELINDEP           EQUALS   12D                                   
050528,001853: 12,3755                        ITERCTR            EQUALS   22D                                   
050529,001854: 12,3755                        DEP                EQUALS   30D                                   
050530,001855: 
050531,001856:                                                                                                  #  DELDEP   ERASE  +1
050532,001857:                                                                                                  #  DEPREV   ERASE  +1
050533,001858: 12,3755                        TWEEKIT            EQUALS   40D                                   
050534,001859: 
050535,001860: 
050536,001861:                                                                                                  #  MORE KEPLER
050537,001862:                                                                                                  #  EPSILONT ERASE  +1
050538,001863: 
050539,001864:                                                                                                  #  MORE LAMBERT
050540,001865:                                                                                                  #  TERRLAMB EQUALS DELDEP
050541,001866:                                                                                                  #  TPREV    EQUALS DEPREV
050542,001867: 
050543,001868:                                                                                                  #  EPSILONL EQUALS EPSILONT +2     DOUBLE PRECISION WORD

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