Source Code

This is a reconstructed version of Luminary 130, the initial AGC program released in November 1969 for the Apollo 13 LM. Three more releases followed before the flown revision was finally manufactured in February 1970.

This reconstruction was created from a previous transcription of the original listing of Luminary 131, combined with Luminary memo #129 which describes the small difference between the Luminary 130 and 131. The reconstructed source code was verified by matching memory-bank checksums to those listed for Luminary 130 in drawing 2021152G.

In this source code, program comments from the original (Luminary 131) code are prefixed with '#', while those added later by the Virtual AGC project are prefixed with '##'.

048669,000002:                                                                                                  ## Copyright:   Public domain.
048670,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048671,000004:                                                                                                  ## Purpose:     A section of the reconstructed source code for Luminary 130.
048672,000005:                                                                                                  ##              This was the original program released for the Apollo 13 LM,
048673,000006:                                                                                                  ##              although several more revisions would follow. It has been
048674,000007:                                                                                                  ##              reconstructed from a listing of Luminary 131, from which it
048675,000008:                                                                                                  ##              differs on only two lines in P70-P71. The difference is
048676,000009:                                                                                                  ##              described in detail in Luminary memo #129, which was used
048677,000010:                                                                                                  ##              to perform the reconstruction. This file is intended to be a
048678,000011:                                                                                                  ##              faithful reconstruction, except that the code format has been
048679,000012:                                                                                                  ##              changed to conform to the requirements of the yaYUL assembler
048680,000013:                                                                                                  ##              rather than the original YUL assembler.
048681,000014:                                                                                                  ## Reference:   pp. 1153-1197
048682,000015:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048683,000016:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048684,000017:                                                                                                  ## Mod history: 06/01/03 RSB.   Began transcribing.
048685,000018:                                                                                                  ##              05/14/05 RSB    Corrected website reference above.
048686,000019:                                                                                                  ##              2010-08-24 JL   Fixed page 1162 number.
048687,000020:                                                                                                  ##              2017-01-06 RSB  Page numbers now agree with those on the
048688,000021:                                                                                                  ##                              original hardcopy, as opposed to the PDF page
048689,000022:                                                                                                  ##                              numbers in 1701.pdf.
048690,000023:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH.
048691,000024:                                                                                                  ##              2017-02-27 RSB  Proofed comment text using octopus/ProoferComments.
048692,000025:                                                                                                  ##              2017-03-01 RSB  Fixed lingering comment-text typos.
048693,000026:                                                                                                  ##                              Added in ##-comments with hyperlinks for some of the
048694,000027:                                                                                                  ##                              documents reference in the code comments.  (Just as
048695,000028:                                                                                                  ##                              an experiment; I didn't do it systematically.)
048696,000029:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
048697,000030:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
048698,000031:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
048699,000032:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
048700,000033:                                                                                                  ##                              Luminary 99 vs Comanche 55.
048701,000034:                                                                                                  ##              2018-09-04 MAS  Copied from Luminary 131 for Luminary 130.
048702,000035: 

Page 1153

048704,000037:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
048705,000038:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048706,000039:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048707,000040: 
048708,000041:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048709,000042:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048710,000043:                                                                                                  #        INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048711,000044:                                                                                                  #        5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048712,000045:                                                                                                  #        RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048713,000046:                                                                                                  #        INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048714,000047:                                                                                                  #        EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048715,000048:                                                                                                  #        THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048716,000049:                                                                                                  #        DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048717,000050:                                                                                                  #        TINES APPROPRIATELY.
048718,000051: 
048719,000052:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048720,000053:                                                                                                  #        BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048721,000054:                                                                                                  #        DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048722,000055: 
048723,000056:                                                                                                  #  RESTRICTIONS -
048724,000057:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048725,000058:                                                                                                  #        LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048726,000059:                                                                                                  #        TORIES COULD BE HANDLED.
048727,000060: 
048728,000061:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048729,000062:                                                                                                  #        THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048730,000063:                                                                                                  #        TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048731,000064: 

Page 1154

048733,000066:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
048734,000067:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
048735,000068:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048736,000069:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048737,000070:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048738,000071:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048739,000072: 
048740,000073:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048741,000074:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048742,000075:                                                                                                  #        BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048743,000076:                                                                                                  #        SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
048744,000077:                                                                                                  #        USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048745,000078:                                                                                                  #        INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048746,000079:                                                                                                  #        TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048747,000080: 
048748,000081:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048749,000082:                                                                                                  #        EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048750,000083: 
048751,000084:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048752,000085:                                                                                                  #        MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048753,000086: 
048754,000087:                                                                                                  #  THE RESTRICTIONS ARE -
048755,000088:                                                                                                  #        1.      (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048756,000089:                                                                                                  #        2.      THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048757,000090:                                                                                                  #                ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048758,000091: 
048759,000092:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048760,000093:                                                                                                  #        GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048761,000094:                                                                                                  #        FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048762,000095: 

You can find some the references mentioned herein at:

048764,000097:                                                                                                  #  REFERENCES -
048765,000098:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048766,000099:                                                                                                  #        MEMO 67-4.
048767,000100: 
048768,000101:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048769,000102: 
048770,000103:                                                                                                  #                * SCALE FACTOR *
048771,000104:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048772,000105:                                                                                                  #        --------*--------------*                         -----------------------
048773,000106:                                                                                                  #        RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048774,000107:                                                                                                  #                * +27 FOR MOON *

Page 1155

048776,000109:                                                                                                  #        VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048777,000110:                                                                                                  #                * +5 FOR MOON  *
048778,000111:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048779,000112:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
048780,000113:                                                                                                  #        TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048781,000114:                                                                                                  #                *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048782,000115:                                                                                                  #        XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS).  SIGN SHOULD AGREE WITH THAT OF TAU.
048783,000116:                                                                                                  #                * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048784,000117:                                                                                                  #                *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048785,000118:                                                                                                  #                *              *    BY KEPLER TO A POOR BUT VALID GUESS.
048786,000119:                                                                                                  #        TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048787,000120:                                                                                                  #        XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048788,000121:                                                                                                  #                * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048789,000122: 
048790,000123:                                                                                                  #  SUBROUTINES CALLED -
048791,000124:                                                                                                  #        DELTIME
048792,000125: 
048793,000126:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048794,000127:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048795,000128:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC.  PL IS AT 0.
048796,000129:                                                                                                  #        KEPRTN          ...                     CONTINUE
048797,000130: 
048798,000131:                                                                                                  #        KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048799,000132:                                                                                                  #        THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048800,000133:                                                                                                  #        ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048801,000134: 
048802,000135:                                                                                                  #  ABORT EXIT MODES -
048803,000136:                                                                                                  #        NONE
048804,000137: 
048805,000138:                                                                                                  #  OUTPUT -
048806,000139:                                                                                                  #                * SCALE FACTOR *
048807,000140:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048808,000141:                                                                                                  #        --------*--------------*                         -----------------------
048809,000142:                                                                                                  #        RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
048810,000143:                                                                                                  #                * +27 FOR MOON *
048811,000144:                                                                                                  #        VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048812,000145:                                                                                                  #                * +5 FOR MOON  *
048813,000146:                                                                                                  #        TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED.  ALWAYS LESS THAN ONE PERIOD.
048814,000147:                                                                                                  #        XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED.  ALWAYS LESS THAN THE X
048815,000148:                                                                                                  #                * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1156

048817,000150:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048818,000151: 
048819,000152:                                                                                                  #  DEBRIS -
048820,000153: 
048821,000154:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048822,000155: 
048823,000156:                                                                                                  #                * SCALE FACTOR *
048824,000157:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048825,000158:                                                                                                  #        --------*--------------*                         -----------------------
048826,000159:                                                                                                  #        URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
048827,000160:                                                                                                  #        R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
048828,000161:                                                                                                  #                * +27 FOR MOON *
048829,000162:                                                                                                  #        ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048830,000163:                                                                                                  #                * -20 FOR MOON *
048831,000164:                                                                                                  #        TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS.  WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048832,000165:                                                                                                  #                *              *TAU. OF LESS THAN ONE PERIOD.
048833,000166: 
048834,000167:                                                                                                  #  PARAMETERS OF NO USE -
048835,000168:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048836,000169: 

Page 1157

048838,000171:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
048839,000172:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048840,000173:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048841,000174: 
048842,000175:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048843,000176:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048844,000177:                                                                                                  #        FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048845,000178:                                                                                                  #        A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048846,000179:                                                                                                  #        SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048847,000180:                                                                                                  #        CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048848,000181:                                                                                                  #        UTILIZED IN THE COMPUTATION.
048849,000182: 
048850,000183:                                                                                                  #  THE RESTRICTIONS ARE -
048851,000184:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048852,000185:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048853,000186:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048854,000187:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048855,000188:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048856,000189:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048857,000190:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048858,000191: 
048859,000192:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048860,000193:                                                                                                  #        GUESS OF THE INDEPENDENT VARIABLE, COGA.                           THE AGC COMPUTATION TIME IS APPROXIMATE-
048861,000194:                                                                                                  #        LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048862,000195: 

You can find some the references mentioned herein at:

048864,000197:                                                                                                  #  REFERENCES -
048865,000198:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048866,000199:                                                                                                  #        SGA MEMO 67-4.
048867,000200: 
048868,000201:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048869,000202: 
048870,000203:                                                                                                  #                * SCALE FACTOR *
048871,000204:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048872,000205:                                                                                                  #        --------*--------------*                         -----------------------
048873,000206:                                                                                                  #        R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048874,000207:                                                                                                  #                * +27 FOR MOON *
048875,000208:                                                                                                  #        R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048876,000209:                                                                                                  #                * +27 FOR MOON *
048877,000210:                                                                                                  #        TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
048878,000211:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048879,000212:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY
048880,000213:                                                                                                  #        GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048881,000214:                                                                                                  #        GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1158

048883,000216:                                                                                                  #                *              *COGA IS TO BE USED BY LAMBERT
048884,000217:                                                                                                  #        COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048885,000218:                                                                                                  #                               *IGNORED IF GUESSW IS SET.
048886,000219:                                                                                                  #        NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048887,000220:                                                                                                  #                *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048888,000221:                                                                                                  #        UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048889,000222:                                                                                                  #                *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048890,000223:                                                                                                  #        VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048891,000224:                                                                                                  #                *              *AT R1VEC.
048892,000225:                                                                                                  #        ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048893,000226:                                                                                                  #                *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME).  AT LEAST ONE OF THESE MUST
048894,000227:                                                                                                  #                *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048895,000228:                                                                                                  #                *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048896,000229: 
048897,000230:                                                                                                  #  SUBROUTINES CALLED -
048898,000231:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048899,000232: 
048900,000233:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048901,000234:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048902,000235:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048903,000236:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
048904,000237:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048905,000238:                                                                                                  #        L+3             SOLNSW
048906,000239:                                                                                                  #        L+4             LAMABORT
048907,000240: 
048908,000241:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048909,000242:                                                                                                  #        GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048910,000243: 
048911,000244:                                                                                                  #  ABORT EXIT MODES -
048912,000245:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048913,000246:                                                                                                  #        WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048914,000247:                                                                                                  #        ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048915,000248:                                                                                                  #        LAMABORT        DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
048916,000249:                                                                                                  #                                1-CSTH          360 DEGREES.
048917,000250:                                                                                                  #                        DSU     BMN
048918,000251:                                                                                                  #                                ONEBIT
048919,000252:                                                                                                  #                                CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
048920,000253:                                                                                                  #                        DLOAD   DAD
048921,000254:                                                                                                  #                                TDESIRED
048922,000255:                                                                                                  #                                SOMETIME
048923,000256:                                                                                                  #                        STCALL  TDESIRED        INCREASE TDESIRED
048924,000257:                                                                                                  #                                LAMBERT
048925,000258: 

Page 1159

048927,000260:                                                                                                  #  OUTPUT -
048928,000261:                                                                                                  #                * SCALE FACTOR *
048929,000262:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048930,000263:                                                                                                  #        --------*--------------*                         -----------------------
048931,000264:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048932,000265:                                                                                                  #                * +5 FOR MOON  *PROBLEM.
048933,000266:                                                                                                  #        VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048934,000267:                                                                                                  #                * +5 FOR MOON  *
048935,000268:                                                                                                  #        SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048936,000269:                                                                                                  #                *              *SOLUTION EXISTS.
048937,000270: 
048938,000271:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048939,000272: 
048940,000273:                                                                                                  #  DEBRIS -
048941,000274:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048942,000275:                                                                                                  #                * SCALE FACTOR *
048943,000276:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048944,000277:                                                                                                  #        --------*--------------*                         -----------------------
048945,000278:                                                                                                  #        SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048946,000279:                                                                                                  #        CSTH    * +1           *DP COSINE OF ANGLE
048947,000280:                                                                                                  #        1-CSTH  * +2           *DP 1-CSTH
048948,000281:                                                                                                  #        COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048949,000282:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048950,000283:                                                                                                  #        R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048951,000284:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
048952,000285:                                                                                                  #                * +27 FOR MOON *
048953,000286:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF R1VEC
048954,000287:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF R2VEC
048955,000288: 
048956,000289:                                                                                                  #        PARAMETERS OF NO USE
048957,000290:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048958,000291:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048959,000292: 

Page 1160

048961,000294:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
048962,000295:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048963,000296:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048964,000297: 
048965,000298:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048966,000299:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
048967,000300:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048968,000301:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048969,000302:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048970,000303:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048971,000304:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048972,000305: 
048973,000306:                                                                                                  #  THE RESTRICTIONS ARE -
048974,000307:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048975,000308:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048976,000309:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048977,000310:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048978,000311: 
048979,000312:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
048980,000313: 

You can find some the references mentioned herein at:

048982,000315:                                                                                                  #  REFERENCES -
048983,000316:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048984,000317: 
048985,000318:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048986,000319:                                                                                                  #                * SCALE FACTOR *
048987,000320:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048988,000321:                                                                                                  #        --------*--------------*                         -----------------------
048989,000322:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048990,000323:                                                                                                  #                * +27 FOR MOON *
048991,000324:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048992,000325:                                                                                                  #                * +5 FOR MOON  *
048993,000326:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
048994,000327:                                                                                                  #        CSTH    * +1           *DP COSINE OF THE ANGLE
048995,000328:                                                                                                  #        RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048996,000329:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
048997,000330:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048998,000331:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
048999,000332: 
049000,000333:                                                                                                  #  SUBROUTINES CALLED -

Page 1161

049002,000335:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049003,000336: 
049004,000337:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049005,000338:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049006,000339:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049007,000340:                                                                                                  #        L+1             RVSW
049008,000341:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
049009,000342:                                                                                                  #        L+3     ...                     CONTINUE
049010,000343: 
049011,000344:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049012,000345:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049013,000346:                                                                                                  #        L+1             RVSW
049014,000347:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049015,000348:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049016,000349:                                                                                                  #        L+3     STOVL   NEWVVEC
049017,000350:                                                                                                  #        L+4     STADR
049018,000351:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049019,000352:                                                                                                  #        L+6     ...                     CONTINUE
049020,000353: 
049021,000354:                                                                                                  #  ABORT EXIT MODES -
049022,000355:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049023,000356:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
049024,000357: 
049025,000358:                                                                                                  #  OUTPUT -
049026,000359:                                                                                                  #                * SCALE FACTOR *
049027,000360:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049028,000361:                                                                                                  #        --------*--------------*                         -----------------------
049029,000362:                                                                                                  #        T(30D)  * +28          *DP TRANSFER TIME IN CENTISECONDS
049030,000363:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049031,000364:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049032,000365:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049033,000366:                                                                                                  #                *              *CLEAR IF NOT.
049034,000367: 
049035,000368:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049036,000369: 
049037,000370:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049038,000371:                                                                                                  #         MPAC +5* +5 FOR MOON  *
049039,000372:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049040,000373:                                                                                                  #                * +27 FOR MOON *
049041,000374: 
049042,000375:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049043,000376: 

Page 1162

049045,000378:                                                                                                  #  DEBRIS -
049046,000379:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049047,000380:                                                                                                  #                * SCALE FACTOR *
049048,000381:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049049,000382:                                                                                                  #        --------*--------------*                         -----------------------
049050,000383:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049051,000384:                                                                                                  #                * +27 FOR MOON *
049052,000385:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049053,000386:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049054,000387:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049055,000388:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
049056,000389:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
049057,000390:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
049058,000391: 
049059,000392:                                                                                                  #  PARAMETERS OF NO USE -
049060,000393:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049061,000394:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049062,000395: 

Page 1163

049064,000397:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
049065,000398:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
049066,000399:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049067,000400: 
049068,000401:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049069,000402:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049070,000403:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049071,000404:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049072,000405:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049073,000406:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049074,000407:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049075,000408: 
049076,000409:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049077,000410:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049078,000411: 
049079,000412:                                                                                                  #  THE RESTRICTIONS ARE -
049080,000413:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049081,000414:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
049082,000415:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049083,000416:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049084,000417:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049085,000418:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049086,000419:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049087,000420: 
049088,000421:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049089,000422: 

You can find some the references mentioned herein at:

049091,000424:                                                                                                  #  REFERENCES -
049092,000425:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049093,000426: 
049094,000427:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049095,000428:                                                                                                  #                * SCALE FACTOR *
049096,000429:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049097,000430:                                                                                                  #        --------*--------------*                         -----------------------
049098,000431:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049099,000432:                                                                                                  #                * +27 FOR MOON *
049100,000433:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049101,000434:                                                                                                  #                * +5 FOR MOON  *
049102,000435:                                                                                                  #        RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049103,000436:                                                                                                  #                * +27 FOR MOON *COMPUTED.
049104,000437:                                                                                                  #        SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049105,000438:                                                                                                  #                *              *POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1164

049107,000440:                                                                                                  #                *              *SINGLE-VALUED PROBLEM.
049108,000441:                                                                                                  #        X1 (38D)*       NONE   *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049109,000442:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
049110,000443:                                                                                                  #        RVSW    *       NONE   *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049111,000444:                                                                                                  #                *              *IS TO BE COMPUTED ALSO.
049112,000445: 
049113,000446:                                                                                                  #  SUBROUTINES CALLED -
049114,000447:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049115,000448: 
049116,000449:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049117,000450:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049118,000451:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049119,000452:                                                                                                  #        L+1             RVSW
049120,000453:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049121,000454:                                                                                                  #        L+3     ...                     CONTINUE
049122,000455: 
049123,000456:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049124,000457:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049125,000458:                                                                                                  #        L+1             RVSW
049126,000459:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049127,000460:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049128,000461:                                                                                                  #        L+3     STOVL   NEWVVEC
049129,000462:                                                                                                  #        L+4     STADR
049130,000463:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049131,000464:                                                                                                  #        L+6     ...                     CONTINUE
049132,000465: 
049133,000466:                                                                                                  #  ABORT EXIT MODES -
049134,000467:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049135,000468:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049136,000469: 
049137,000470:                                                                                                  #  OUTPUT -
049138,000471:                                                                                                  #                * SCALE FACTOR *
049139,000472:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049140,000473:                                                                                                  #        --------*--------------*                         -----------------------
049141,000474:                                                                                                  #        T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049142,000475:                                                                                                  #        INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049143,000476:                                                                                                  #                *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049144,000477:                                                                                                  #        COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049145,000478:                                                                                                  #                *              *CLEAR IF NOT.
049146,000479:                                                                                                  #        APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1165

049148,000481:                                                                                                  #                *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049149,000482:                                                                                                  #                *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049150,000483:                                                                                                  #                *              *APOCENTER.
049151,000484:                                                                                                  #        SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049152,000485:                                                                                                  #                               *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049153,000486:                                                                                                  #                               *MINUS-18, THE SWITCH IS CLEAR.
049154,000487: 
049155,000488:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049156,000489:                                                                                                  #        MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049157,000490:                                                                                                  #         MPAC +5* +5 FOR MOON  *
049158,000491:                                                                                                  #        0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049159,000492:                                                                                                  #                * +27 FOR MOON *
049160,000493: 
049161,000494:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049162,000495: 
049163,000496:                                                                                                  #  DEBRIS -
049164,000497:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049165,000498:                                                                                                  #                * SCALE FACTOR *
049166,000499:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049167,000500:                                                                                                  #        --------*--------------*                         -----------------------
049168,000501:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049169,000502:                                                                                                  #                * +27 FOR MOON *
049170,000503:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049171,000504:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049172,000505:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049173,000506:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
049174,000507:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
049175,000508:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
049176,000509:                                                                                                  #        CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049177,000510:                                                                                                  #        SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
049178,000511: 
049179,000512:                                                                                                  #        PARAMETERS OF NO USE -
049180,000513:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049181,000514:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049182,000515: 
049183,000516: 

Page 1166

049185,000518:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
049186,000519:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
049187,000520:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049188,000521: 
049189,000522:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049190,000523:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049191,000524:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049192,000525:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049193,000526:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049194,000527:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049195,000528: 
049196,000529:                                                                                                  #  THE RESTRICTIONS ARE -
049197,000530:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049198,000531:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049199,000532:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049200,000533:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049201,000534:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049202,000535: 

You can find some the references mentioned herein at:

049204,000537:                                                                                                  #  REFERENCES -
049205,000538:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049206,000539: 
049207,000540:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049208,000541:                                                                                                  #                * SCALE FACTOR *
049209,000542:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049210,000543:                                                                                                  #        --------*--------------*                         -----------------------
049211,000544:                                                                                                  #        RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049212,000545:                                                                                                  #                * +27 FOR MOON *
049213,000546:                                                                                                  #        VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049214,000547:                                                                                                  #                * +5 FOR MOON  *
049215,000548:                                                                                                  #        X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049216,000549:                                                                                                  #                *              *RESPECTIVELY, IS THE CENTRAL BODY.
049217,000550: 
049218,000551:                                                                                                  #  SUBROUTINES CALLED -
049219,000552:                                                                                                  #        PARAM, GEOM
049220,000553: 
049221,000554:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1167

049223,000556:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049224,000557:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049225,000558:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049226,000559:                                                                                                  #        L+2     STODL   APOAPSE
049227,000560:                                                                                                  #        L+3             0D
049228,000561:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049229,000562:                                                                                                  #        L+5     ...                     CONTINUE
049230,000563: 
049231,000564:                                                                                                  #  OUTPUT -
049232,000565:                                                                                                  #                * SCALE FACTOR *
049233,000566:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049234,000567:                                                                                                  #        --------*--------------*                         -----------------------
049235,000568:                                                                                                  #        MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
049236,000569:                                                                                                  #                * +27 FOR MOON *
049237,000570:                                                                                                  #        0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
049238,000571:                                                                                                  #                * +27 FOR MOON *
049239,000572:                                                                                                  #        ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
049240,000573:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049241,000574: 
049242,000575:                                                                                                  #  DEBRIS -
049243,000576:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049244,000577:                                                                                                  #                * SCALE FACTOR *
049245,000578:                                                                                                  #        VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049246,000579:                                                                                                  #        --------*--------------*                         -----------------------
049247,000580:                                                                                                  #        R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049248,000581:                                                                                                  #                * +27 FOR MOON *
049249,000582:                                                                                                  #        R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049250,000583:                                                                                                  #        P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049251,000584:                                                                                                  #        COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049252,000585:                                                                                                  #        UR1     * +1           *DP UNIT VECTOR OF RVEC
049253,000586:                                                                                                  #        U2      * +1           *DP UNIT VECTOR OF VVEC
049254,000587:                                                                                                  #        UN      * +1           *DP UNIT VECTOR OF UR1*U2
049255,000588:                                                                                                  #        MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
049256,000589:                                                                                                  #                * +5 FOR MOON  *
049257,000590: 
049258,000591:                                                                                                  #        PARAMETERS OF NO USE -
049259,000592:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
049260,000593:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049261,000594: 
049262,000595: 12,2000                                           SETLOC   CONICS                                

Page 1168

049264,000597: 12,2000                                           BANK                                           
049265,000598: 
049266,000599: 12,2023                                           COUNT*   $$/CONIC                              
049267,000600: 12,2023  E5,1721                                  EBANK=   UR1                                   
049268,000601: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049269,000602: 12,2024           00001                                    0                                     
049270,000603: 12,2025           24026                                    +1                                    
049271,000604: 12,2026           77773                           VLOAD*                                         
049272,000605: 12,2027           10005                                    MUTABLE,1                             
049273,000606: 12,2030           24017                           STOVL    14D                                   
049274,000607: 12,2031           01503                                    RRECT                                 
049275,000608: 12,2032           66256                           UNIT     SSP                                   
049276,000609: 12,2033           00027                                    ITERCTR                               
049277,000610: 12,2034           00024                                    20D                                   
049278,000611: 12,2035           16647                           STODL    URRECT                                
049279,000612: 12,2036           00045                                    36D                                   
049280,000613: 12,2037           24041                           STOVL    R1                                    
049281,000614: 12,2040           01503                                    RRECT                                 
049282,000615: 12,2041           76441                           DOT      SL1R                                  
049283,000616: 12,2042           01511                                    VRECT                                 
049284,000617: 12,2043           76405                           DMP      SL1R                                  
049285,000618: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049286,000619: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049287,000620: 12,2046           01511                                    VRECT                                 
049288,000621: 12,2047           57236                           VSQ      DMPR                                  
049289,000622: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049290,000623: 12,2051           52405                           DMP      SL3                                   
049291,000624: 12,2052           00041                                    R1                                    
049292,000625: 12,2053           61425                           DSU      ROUND                                 
049293,000626: 12,2054           11001                                    D1/64                                 
049294,000627: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049295,000628: 
049296,000629: 12,2056           74421                           BDSU     SR1R                                  
049297,000630: 12,2057           11001                                    D1/64                                 
049298,000631: 12,2060           77671                           DDV                                            
049299,000632: 12,2061           00041                                    R1                                    
049300,000633: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049301,000634: 
049302,000635: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049303,000636: 12,2064           24073                                    1REV                                  
049304,000637: 12,2065           11017                                    -50SC                                 #  -50SC (+12)
049305,000638: 12,2066           40071                           DDV      BOV                                   
049306,000639: 12,2067           00011                                    ALPHA                                 
049307,000640: 12,2070           24077                                    STOREMAX                              
049308,000641: 12,2071           52166                           SQRT     GOTO                                  
049309,000642: 12,2072           24077                                    STOREMAX                              
049310,000643: 
049311,000644: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1169

049313,000646: 12,2074           11021                                    2PISC                                 #  2PISC (+6)
049314,000647: 12,2075           77600                           BOV                                            
049315,000648: 12,2076           24077                                    STOREMAX                              
049316,000649: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049317,000650: 12,2100           65205                           DMP      PDDL                                  
049318,000651: 12,2101           00023                                    1/ROOTMU                              
049319,000652: 12,2102           00011                                    ALPHA                                 
049320,000653: 12,2103           65301                           NORM     PDDL                                  
049321,000654: 12,2104           00047                                    X1                                    
049322,000655: 12,2105           56257                           SL*      DDV                                   
049323,000656: 12,2106           20173                                    0          -6,1                       
049324,000657: 12,2107           50000                           BOV      BMN                                   
049325,000658: 12,2110           24124                                    MODDONE                               
049326,000659: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049327,000660: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049328,000661: 12,2113           02074                                    TAU.                                  
049329,000662: 12,2114           50025                           DSU      BMN                                   
049330,000663: 12,2115           00001                                    0D                                    
049331,000664: 12,2116           24124                                    MODDONE                               
049332,000665: 12,2117           77765                           SIGN                                           
049333,000666: 12,2120           02074                                    TAU.                                  
049334,000667: 12,2121           16074                           STODL    TAU.                                  
049335,000668: 12,2122           77650                           GOTO                                           
049336,000669: 12,2123           24112                                    PERIODCH                              
049337,000670: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049338,000671: 12,2125           00001                                    0                                     
049339,000672: 12,2126           02130                                    XKEPNEW                               
049340,000673: 12,2127           00025                           STORE    X                                     
049341,000674: 12,2130           53165                           SIGN     BZE                                   
049342,000675: 12,2131           02074                                    TAU.                                  
049343,000676: 12,2132           24302                                    BADX                                  
049344,000677: 12,2133           51440                           BMN      ABS                                   
049345,000678: 12,2134           24302                                    BADX                                  
049346,000679: 12,2135           51025                           DSU      BPL                                   
049347,000680: 12,2136           00013                                    XMAX                                  
049348,000681: 12,2137           24302                                    BADX                                  
049349,000682: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049350,000683: 12,2141           02074                                    TAU.                                  
049351,000684: 12,2142           24152                                    STOREMIN                              
049352,000685: 12,2143           57545                           DLOAD    DCOMP                                 
049353,000686: 12,2144           00013                                    XMAX                                  
049354,000687: 12,2145           14015                           STODL    XMIN                                  
049355,000688: 12,2146           24007                                    KEPZERO                               
049356,000689: 12,2147           00013                           STORE    XMAX                                  
049357,000690: 12,2150           77650                           GOTO                                           
049358,000691: 12,2151           24155                                    DXCOMP                                
049359,000692: 12,2152           77745        STOREMIN           DLOAD                                          
049360,000693: 12,2153           24007                                    KEPZERO                               
049361,000694: 12,2154           00015                           STORE    XMIN                                  
049362,000695: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1170

049364,000697: 12,2156           02074                                    TAU.                                  
049365,000698: 12,2157           11012                                    BEE22                                 
049366,000699: 12,2160           77646                           ABS                                            
049367,000700: 12,2161           16177                           STODL    EPSILONT                              
049368,000701: 12,2162           01553                                    XPREV                                 
049369,000702: 12,2163           77621        XDIFF              BDSU                                           
049370,000703: 12,2164           00025                                    X                                     
049371,000704: 12,2165           02643                           STORE    DELX                                  
049372,000705: 
049373,000706: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049374,000707: 12,2167           00025                                    X                                     #  X=XKEP
049375,000708: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049376,000709: 12,2171           00047                                    X1                                    
049377,000710: 12,2172           53605                           DMP      SRR*                                  
049378,000711: 12,2173           00011                                    ALPHA                                 
049379,000712: 12,2174           21573                                    0          -6,1                       
049380,000713: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049381,000714: 12,2176           24421                                    DELTIME                               
049382,000715: 12,2177           44200                           BOV      BDSU                                  
049383,000716: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049384,000717: 12,2201           02074                                    TAU.                                  
049385,000718: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049386,000719: 12,2203           44246                           ABS      BDSU                                  
049387,000720: 12,2204           02177                                    EPSILONT                              
049388,000721: 12,2205           71244                           BPL      DLOAD                                 
049389,000722: 12,2206           24333                                    KEPCONVG                              
049390,000723: 12,2207           00037                                    T                                     
049391,000724: 12,2210           60225                           DSU      NORM                                  
049392,000725: 12,2211           01551                                    TC                                    
049393,000726: 12,2212           00047                                    X1                                    
049394,000727: 12,2213           60325                           PDDL     NORM                                  
049395,000728: 12,2214           02643                                    DELX                                  
049396,000729: 12,2215           00050                                    X2                                    
049397,000730: 12,2216           41260                           XSU,1    DMP                                   
049398,000731: 12,2217           00047                                    X2                                    
049399,000732: 12,2220           02645                                    DELT                                  
049400,000733: 12,2221           56257                           SLR*     DDV                                   
049401,000734: 12,2222           21202                                    1,1                                   
049402,000735: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049403,000736: 12,2224           71244                           BPL      DLOAD                                 
049404,000737: 12,2225           24246                                    POSDELX                               
049405,000738: 12,2226           00025                                    X                                     
049406,000739: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049407,000740: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049408,000741: 12,2231           00015                                    XMIN                                  
049409,000742: 12,2232           51000                           BOV      BPL                                   
049410,000743: 12,2233           24240                                    NDXCHNGE                              
049411,000744: 12,2234           24240                                    NDXCHNGE                              
049412,000745: 12,2235           52145                           DLOAD    GOTO                                  

Page 1171

049414,000747: 12,2236           00001                                    0D                                    
049415,000748: 12,2237           24260                                    NEWDELX                               
049416,000749: 
049417,000750: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049418,000751: 12,2241           00015                                    XMIN                                  
049419,000752: 12,2242           00025                                    X                                     
049420,000753: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049421,000754: 12,2244           11015                                    DP9/10                                
049422,000755: 12,2245           24260                                    NEWDELX                               
049423,000756: 
049424,000757: 12,2246           77745        POSDELX            DLOAD                                          
049425,000758: 12,2247           00025                                    X                                     
049426,000759: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049427,000760: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049428,000761: 12,2252           00013                                    XMAX                                  
049429,000762: 12,2253           50000                           BOV      BMN                                   
049430,000763: 12,2254           24274                                    PDXCHNGE                              
049431,000764: 12,2255           24274                                    PDXCHNGE                              
049432,000765: 12,2256           77745                           DLOAD                                          
049433,000766: 12,2257           00001                                    0D                                    
049434,000767: 12,2260           02643        NEWDELX            STORE    DELX                                  
049435,000768: 12,2261           43254                           BZE      DAD                                   
049436,000769: 12,2262           24333                                    KEPCONVG                              
049437,000770: 12,2263           00025                                    X                                     
049438,000771: 12,2264           14025                           STODL    X                                     
049439,000772: 12,2265           00037                                    T                                     
049440,000773: 12,2266           01551                           STORE    TC                                    
049441,000774: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049442,000775: 12,2270           24644                                    CHECKCTR                              
049443,000776: 12,2271           24333                                    KEPCONVG                              
049444,000777: 12,2272           77650                           GOTO                                           
049445,000778: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049446,000779: 
049447,000780: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049448,000781: 12,2275           00013                                    XMAX                                  
049449,000782: 12,2276           00025                                    X                                     
049450,000783: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049451,000784: 12,2300           11015                                    DP9/10                                
049452,000785: 12,2301           24260                                    NEWDELX                               
049453,000786: 
049454,000787: 12,2302           70545        BADX               DLOAD    SR1                                   
049455,000788: 12,2303           00013                                    XMAX                                  
049456,000789: 12,2304           77765                           SIGN                                           
049457,000790: 12,2305           02074                                    TAU.                                  
049458,000791: 12,2306           00025                           STORE    X                                     
049459,000792: 12,2307           77650                           GOTO                                           

Page 1172

049461,000794: 12,2310           24140                                    STORBNDS                              
049462,000795: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049463,000796: 12,2312           00025                                    X                                     
049464,000797: 12,2313           24330                                    NEGTOVFL                              
049465,000798: 12,2314           00013                           STORE    XMAX                                  
049466,000799: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049467,000800: 12,2316           02643                                    DELX                                  
049468,000801: 12,2317           02643                           STORE    DELX                                  
049469,000802: 12,2320           44254                           BZE      BDSU                                  
049470,000803: 12,2321           02112                                    KEPRTN                                
049471,000804: 12,2322           00025                                    X                                     
049472,000805: 12,2323           14025                           STODL    X                                     
049473,000806: 12,2324           01551                                    TC                                    
049474,000807: 12,2325           00037                           STORE    T                                     
049475,000808: 12,2326           77650                           GOTO                                           
049476,000809: 12,2327           24267                                    BRNCHCTR                              
049477,000810: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049478,000811: 12,2331           77650                           GOTO                                           
049479,000812: 12,2332           24315                                    CMNTOVFL                              
049480,000813: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049481,000814: 12,2334           00041                                    R1                                    
049482,000815: 12,2335           74225                           DSU      VXSC                                  
049483,000816: 12,2336           00035                                    XSQC(XI)                              
049484,000817: 12,2337           02647                                    URRECT                                
049485,000818: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049486,000819: 12,2341           00025                                    X                                     
049487,000820: 12,2342           60316                           DSQ      NORM                                  
049488,000821: 12,2343           00047                                    X1                                    
049489,000822: 12,2344           57275                           DMPR     DMPR                                  
049490,000823: 12,2345           00023                                    1/ROOTMU                              
049491,000824: 12,2346           00025                                    X                                     
049492,000825: 12,2347           53605                           DMP      SRR*                                  
049493,000826: 12,2350           00033                                    S(XI)                                 
049494,000827: 12,2351           21572                                    0          -7,1                       
049495,000828: 12,2352           77621                           BDSU                                           
049496,000829: 12,2353           00037                                    T                                     
049497,000830: 12,2354           74352                           SL1      VXSC                                  
049498,000831: 12,2355           01511                                    VRECT                                 
049499,000832: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049500,000833: 12,2357           77712                           VSL4                                           
049501,000834: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049502,000835: 
049503,000836: 12,2361           60246                           ABVAL    NORM                                  
049504,000837: 12,2362           00050                                    X2                                    
049505,000838: 12,2363           14043                           STODL    RCNORM                                
049506,000839: 12,2364           00031                                    XI                                    
049507,000840: 12,2365           45275                           DMPR     DSU                                   
049508,000841: 12,2366           00033                                    S(XI)                                 
049509,000842: 12,2367           10777                                    D1/128                                

Page 1173

049511,000844: 12,2370           76405                           DMP      SL1R                                  
049512,000845: 12,2371           00021                                    ROOTMU                                
049513,000846: 12,2372           53605                           DMP      SLR*                                  
049514,000847: 12,2373           00025                                    X                                     
049515,000848: 12,2374           56601                                    0          -3,2                       
049516,000849: 12,2375           74271                           DDV      VXSC                                  
049517,000850: 12,2376           00043                                    RCNORM                                
049518,000851: 12,2377           02647                                    URRECT                                
049519,000852: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049520,000853: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049521,000854: 12,2402           56257                           SLR*     DDV                                   
049522,000855: 12,2403           56602                                    0          -4,2                       
049523,000856: 12,2404           00043                                    RCNORM                                
049524,000857: 12,2405           74221                           BDSU     VXSC                                  
049525,000858: 12,2406           11013                                    D1/256                                
049526,000859: 12,2407           01511                                    VRECT                                 
049527,000860: 12,2410           42455                           VAD      VSL8                                  
049528,000861: 12,2411           77626                           STADR                                          #                                PL AT 0
049529,000862: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049530,000863: 12,2413           00037                                    T                                     
049531,000864: 12,2414           15551                           STODL    TC                                    
049532,000865: 12,2415           00025                                    X                                     
049533,000866: 12,2416           01553                           STORE    XPREV                                 
049534,000867: 12,2417           77650                           GOTO                                           
049535,000868: 12,2420           02112                                    KEPRTN                                
049536,000869: 

Page 1174

049538,000871: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049539,000872: 12,2422           07225                           TC       POLY                                  
049540,000873: 12,2423           00010                           DEC      8          B-14                       
049541,000874: 12,2424           02525 12526                     2DEC     .083333334                            
049542,000875: 12,2426           67356 75666                     2DEC     -.266666684                            
049543,000876: 12,2430           15001 23771                     2DEC     .406349155                            
049544,000877: 12,2432           64342 43674                     2DEC     -.361198675                            
049545,000878: 12,2434           06563 04645                     2DEC     .210153242                            
049546,000879: 12,2436           75173 52672                     2DEC     -.086221951                            
049547,000880: 12,2440           00656 14331                     2DEC     .026268812                            
049548,000881: 12,2442           77633 40512                     2DEC     -.006163316                            
049549,000882: 12,2444           00023 11210                     2DEC     .001177342                            
049550,000883: 12,2446           77774 67506                     2DEC     -.000199055                            
049551,000884: 
049552,000885: 12,2450           06042                           TC       INTPRET                               
049553,000886: 12,2451           14033                           STODL    S(XI)                                 
049554,000887: 12,2452           00031                                    XI                                    
049555,000888: 12,2453           77776                           EXIT                                           
049556,000889: 12,2454           07225                           TC       POLY                                  
049557,000890: 12,2455           00010                           DEC      8          B-14                       
049558,000891: 12,2456           01000 00000                     2DEC     .031250001                            
049559,000892: 12,2460           72525 52506                     2DEC     -.166666719                            
049560,000893: 12,2462           13301 15337                     2DEC     .355555413                            
049561,000894: 12,2464           62776 54733                     2DEC     -.406347410                            
049562,000895: 12,2466           11176 13267                     2DEC     .288962094                            
049563,000896: 12,2470           73410 51674                     2DEC     -.140117894                            
049564,000897: 12,2472           01446 33641                     2DEC     .049247387                            
049565,000898: 12,2474           77451 65233                     2DEC     -.013081923                            
049566,000899: 12,2476           00055 37266                     2DEC     .002806389                            
049567,000900: 12,2500           77767 52336                     2DEC     -.000529414                            
049568,000901: 12,2502           06042                           TC       INTPRET                               

Page 1175

049570,000903: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049571,000904: 12,2504           00001                                    0D                                    
049572,000905: 12,2505           21574                                    0          -5,1                       
049573,000906: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049574,000907: 12,2507           72405                           DMP      SL1                                   
049575,000908: 12,2510           00043                                    KEPC1                                 
049576,000909: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049577,000910: 12,2512           21634                                    TPMODE                                #                                PL AT 0,3
049578,000911: 12,2513           53605                           DMP      SRR*                                  
049579,000912: 12,2514           00033                                    S(XI)                                 
049580,000913: 12,2515           21574                                    0          -5,1                       
049581,000914: 12,2516           72405                           DMP      SL1                                   
049582,000915: 12,2517           00045                                    KEPC2                                 
049583,000916: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049584,000917: 12,2521           21634                                    TPMODE                                
049585,000918: 12,2522           00041                                    R1                                    
049586,000919: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049587,000920: 12,2524           20607                                    6                                     
049588,000921: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049589,000922: 12,2526           00047                                    X1                                    
049590,000923: 12,2527           00025                                    X                                     
049591,000924: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049592,000925: 12,2531           20576                                    0          -3,1                       
049593,000926: 12,2532           57232                           SL4R     DMPR                                  
049594,000927: 12,2533           00023                                    1/ROOTMU                              
049595,000928: 12,2534           00037                           STORE    T                                     
049596,000929: 12,2535           77616                           RVQ                                            
049597,000930: 

Page 1176

049599,000932: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049600,000933: 12,2537           00614                                    SLOPESW                               
049601,000934: 12,2540           24606                                    FIRSTIME                              
049602,000935: 12,2541           00037                                    DEP                                   
049603,000936: 12,2542           60225                           DSU      NORM                                  
049604,000937: 12,2543           02762                                    DEPREV                                
049605,000938: 12,2544           00047                                    X1                                    
049606,000939: 12,2545           60325                           PDDL     NORM                                  
049607,000940: 12,2546           00015                                    DELINDEP                              
049608,000941: 12,2547           00050                                    X2                                    
049609,000942: 12,2550           41260                           XSU,1    DMP                                   
049610,000943: 12,2551           00047                                    X2                                    
049611,000944: 12,2552           02760                                    DELDEP                                
049612,000945: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049613,000946: 12,2554           21202                                    1,1                                   
049614,000947: 12,2555           43142                           SR1      BOFF                                  
049615,000948: 12,2556           04351                                    ORDERSW                               
049616,000949: 12,2557           24562                                    SGNCHECK                              
049617,000950: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049618,000951: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049619,000952: 
049620,000953: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049621,000954: 12,2563           24620                                    POSDEL                                
049622,000955: 12,2564           43145                           DLOAD    BON                                   
049623,000956: 12,2565           02766                                    INDEP                                 
049624,000957: 12,2566           04311                                    ORDERSW                               
049625,000958: 12,2567           24571                                    MINCHECK                              
049626,000959: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049627,000960: 
049628,000961: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049629,000962: 12,2572           00011                                    MIN                                   
049630,000963: 12,2573           51000                           BOV      BPL                                   
049631,000964: 12,2574           24600                                    MODNGDEL                              
049632,000965: 12,2575           24600                                    MODNGDEL                              
049633,000966: 12,2576           77650                           GOTO                                           
049634,000967: 12,2577           24632                                    DELOK                                 
049635,000968: 
049636,000969: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049637,000970: 12,2601           00011                                    MIN                                   
049638,000971: 12,2602           02766                                    INDEP                                 
049639,000972: 12,2603           52005                           DMP      GOTO                                  
049640,000973: 12,2604           11015                                    DP9/10                                
049641,000974: 12,2605           24634                                    NEWDEL                                
049642,000975: 
049643,000976: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049644,000977: 12,2607           00011                                    MIN                                   
049645,000978: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049646,000979: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1177

049648,000981: 12,2612           00017                                    MAX                                   
049649,000982: 12,2613           00051                                    TWEEKIT                               
049650,000983: 12,2614           77625                           DSU                                            
049651,000984: 12,2615           52165                           SIGN     GOTO                                  
049652,000985: 12,2616           02760                                    DELDEP                                
049653,000986: 12,2617           24562                                    SGNCHECK                              
049654,000987: 
049655,000988: 12,2620           43145        POSDEL             DLOAD    BON                                   
049656,000989: 12,2621           02766                                    INDEP                                 
049657,000990: 12,2622           04311                                    ORDERSW                               
049658,000991: 12,2623           24625                                    MAXCHECK                              
049659,000992: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049660,000993: 
049661,000994: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049662,000995: 12,2626           00017                                    MAX                                   
049663,000996: 12,2627           50000                           BOV      BMN                                   
049664,000997: 12,2630           24636                                    MODPSDEL                              
049665,000998: 12,2631           24636                                    MODPSDEL                              
049666,000999: 12,2632           77745        DELOK              DLOAD                                          
049667,001000: 12,2633           00001                                    0D                                    
049668,001001: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049669,001002: 12,2635           77616                           RVQ                                            
049670,001003: 
049671,001004: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049672,001005: 12,2637           00017                                    MAX                                   
049673,001006: 12,2640           02766                                    INDEP                                 
049674,001007: 12,2641           52005                           DMP      GOTO                                  
049675,001008: 12,2642           11015                                    DP9/10                                
049676,001009: 12,2643           24634                                    NEWDEL                                
049677,001010: 
049678,001011: 12,2644           44753        CHECKCTR           CS       ONE                                   
049679,001012: 12,2645           50120                           INDEX    FIXLOC                                
049680,001013: 12,2646           60026                           AD       ITERCTR                               
049681,001014: 12,2647           50120                           INDEX    FIXLOC                                
049682,001015: 12,2650           54026                           TS       ITERCTR                               
049683,001016: 12,2651           54154                           TS       MPAC                                  
049684,001017: 12,2652           06064                           TC       DANZIG                                
049685,001018: 

Page 1178

049687,001020: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049688,001021: 12,2654           00041                                    R1                                    
049689,001022: 12,2655           74225                           DSU      VXSC                                  
049690,001023: 12,2656           00035                                    XSQC(XI)                              
049691,001024: 12,2657           02722                                    UR1                                   
049692,001025: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31)       PL AT 6
049693,001026: 12,2661           00025                                    X                                     
049694,001027: 12,2662           60316                           DSQ      NORM                                  
049695,001028: 12,2663           00047                                    X1                                    
049696,001029: 12,2664           57275                           DMPR     DMPR                                  
049697,001030: 12,2665           00023                                    1/ROOTMU                              
049698,001031: 12,2666           00025                                    X                                     
049699,001032: 12,2667           53605                           DMP      SRR*                                  
049700,001033: 12,2670           00033                                    S(XI)                                 
049701,001034: 12,2671           21572                                    0          -7,1                       
049702,001035: 12,2672           77621                           BDSU                                           
049703,001036: 12,2673           00037                                    T                                     
049704,001037: 12,2674           74352                           SL1      VXSC                                  
049705,001038: 12,2675           02744                                    VVEC                                  
049706,001039: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049707,001040: 12,2677           41512                           VSL4     PUSH                                  
049708,001041: 12,2700           77646                           ABVAL                                          
049709,001042: 12,2701           77701        LAMENTER           NORM                                           
049710,001043: 12,2702           00047                                    X1                                    
049711,001044: 12,2703           16720                           STODL    R2                                    
049712,001045: 12,2704           00031                                    XI                                    
049713,001046: 12,2705           45205                           DMP      DSU                                   
049714,001047: 12,2706           00033                                    S(XI)                                 
049715,001048: 12,2707           10777                                    D1/128                                
049716,001049: 12,2710           76405                           DMP      SL1R                                  
049717,001050: 12,2711           00021                                    ROOTMU                                
049718,001051: 12,2712           53605                           DMP      SLR*                                  
049719,001052: 12,2713           00025                                    X                                     
049720,001053: 12,2714           21176                                    0          -3,1                       
049721,001054: 12,2715           74271                           DDV      VXSC                                  
049722,001055: 12,2716           02720                                    R2                                    
049723,001056: 12,2717           02722                                    UR1                                   
049724,001057: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049725,001058: 12,2721           00035                                    XSQC(XI)                              
049726,001059: 12,2722           56257                           SLR*     DDV                                   
049727,001060: 12,2723           21175                                    0          -4,1                       
049728,001061: 12,2724           02720                                    R2                                    
049729,001062: 12,2725           77621                           BDSU                                           
049730,001063: 12,2726           11013                                    D1/256                                
049731,001064: 12,2727           53361                           VXSC     VAD                                   
049732,001065: 12,2730           02744                                    VVEC                                  #                                PL AT 6
049733,001066: 12,2731           43412                           VSL8     RVQ                                   
049734,001067: 

Page 1179

049736,001069: 04,2000                                           SETLOC   CONICS1                               
049737,001070: 04,2000                                           BANK                                           
049738,001071: 
049739,001072: 04,2773                                           COUNT*   $$/CONIC                              
049740,001073:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049741,001074: 04,2773           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049742,001075: 04,2774           04000 00000  D1/8               2DEC     1.0        B-3                        
049743,001076: 04,2776           00200 00000  D1/128             2DEC     1.0        B-7                        
049744,001077: 04,3000           00400 00000  D1/64              2DEC     1.0        B-6                        
049745,001078: 04,3002           10000 00000  D1/4               2DEC     1.0        B-2                        
049746,001079: 04,3004           02000 00000  D1/16              2DEC     1.0        B-4                        
049747,001080: 04,3006           01000 00000  D1/32              2DEC     1.0        B-5                        
049748,001081: 04,3010           00020 00000  D1/1024            2DEC     1.0        B-10                       
049749,001082: 04,3012           00100 00000  D1/256             2DEC     1.0        B-8                        
049750,001083: 04,3014           34631 23146  DP9/10             2DEC     .9                                    
049751,001084: 04,3016  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049752,001085: 04,3016           77467 77777  -50SC              2DEC     -50.0      B-12                       
049753,001086: 04,3020           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049754,001087: 04,3022  04,3005               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049755,001088: 04,3022  04,3011               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049756,001089: 04,3022           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049757,001090: 04,3024           37767 37737  COGUPLIM           2DEC     .999511597                            
049758,001091: 04,3026           40010 40040  COGLOLIM           2DEC     -.999511597                            
049759,001092: 

Page 1180

049761,001094: 12,2000                                           SETLOC   CONICS                                
049762,001095: 12,2000                                           BANK                                           
049763,001096: 
049764,001097: 12,2732                                           COUNT*   $$/CONIC                              
049765,001098: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049766,001099: 12,2733           02710                                    RTNTT                                 
049767,001100: 12,2734           00001                                    0                                     
049768,001101: 12,2735           77600                           BOV                                            
049769,001102: 12,2736           24737                                    +1                                    
049770,001103: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049771,001104: 12,2740           02655                                    RVEC                                  
049772,001105: 12,2741           02744                                    VVEC                                  
049773,001106: 12,2742           77624                           CALL                                           
049774,001107: 12,2743           11030                                    PARAM                                 
049775,001108: 12,2744           45000                           BOV      CALL                                  
049776,001109: 12,2745           24764                                    COGAOVFL                              #                                PL AT 0
049777,001110: 12,2746           24767                                    GETX                                  
049778,001111: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049779,001112: 12,2750           00031                                    XI                                    
049780,001113: 12,2751           04310                                    INFINFLG                              
049781,001114: 12,2752           25752                                    ABTCONIC                              
049782,001115: 12,2753           45014                           CLEAR    CALL                                  
049783,001116: 12,2754           04273                                    COGAFLAG                              
049784,001117: 12,2755           24421                                    DELTIME                               
049785,001118: 12,2756           45014                           BON      CALL                                  
049786,001119: 12,2757           03706                                    RVSW                                  
049787,001120: 12,2760           02710                                    RTNTT                                 
049788,001121: 12,2761           24653                                    NEWSTATE                              
049789,001122: 12,2762           77650                           GOTO                                           
049790,001123: 12,2763           02710                                    RTNTT                                 
049791,001124: 
049792,001125: 12,2764           77614        COGAOVFL           SETGO                                          
049793,001126: 12,2765           04033                                    COGAFLAG                              
049794,001127: 12,2766           25752                                    ABTCONIC                              
049795,001128: 
049796,001129: 04,3030                                           BANK     4                                     
049797,001130: 04,2000                                           SETLOC   CONICS1                               
049798,001131: 04,2000                                           BANK                                           
049799,001132: 04,3030                                           COUNT*   $$/CONIC                              
049800,001133: 04,3030           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049801,001134: 04,3031           02753                                    RTNPRM                                
049802,001135: 04,3032           03665                                    NORMSW                                
049803,001136: 04,3033           77614                           CLEAR                                          
049804,001137: 04,3034           04273                                    COGAFLAG                              
049805,001138: 04,3035           45131                           SSP      CALL                                  
049806,001139: 04,3036           02673                                    GEOMSGN                               
049807,001140: 04,3037           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049808,001141: 04,3040           11074                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049809,001142: 04,3041           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049810,001143: 04,3042           56261                           SR       DDV                                   

Page 1181

049812,001145: 04,3043           20606                                    5                                     
049813,001146: 04,3044           00045                                    36D                                   
049814,001147: 04,3045           32766                           STOVL*   COGA                                  
049815,001148: 04,3046           10005                                    MUTABLE,1                             
049816,001149: 04,3047           14017                           STODL    1/MU                                  
049817,001150: 04,3050           02720                                    MAGVEC2                               
049818,001151: 04,3051           60316                           DSQ      NORM                                  
049819,001152: 04,3052           00047                                    X1                                    
049820,001153: 04,3053           41275                           DMPR     DMP                                   
049821,001154: 04,3054           00017                                    1/MU                                  
049822,001155: 04,3055           00041                                    R1                                    
049823,001156: 04,3056           77657                           SRR*                                           
049824,001157: 04,3057           21576                                    0          -3,1                       
049825,001158: 04,3060           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049826,001159: 04,3061           11007                                    D1/32                                 
049827,001160: 04,3062           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049828,001161: 
049829,001162: 04,3063           60205                           DMP      NORM                                  
049830,001163: 04,3064           00045                                    36D                                   
049831,001164: 04,3065           00047                                    X1                                    
049832,001165: 04,3066           53605                           DMP      SR*                                   
049833,001166: 04,3067           00045                                    36D                                   
049834,001167: 04,3070           20575                                    0          -4,1                       
049835,001168: 04,3071           02740                           STORE    P                                     #  P (+4)
049836,001169: 04,3072           77650                           GOTO                                           
049837,001170: 04,3073           02753                                    RTNPRM                                
049838,001171: 

Page 1182

049840,001173: 04,3074           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049841,001174: 04,3075           16712                           STODL    U2                                    #  U2 (+1)
049842,001175: 04,3076           00045                                    36D                                   
049843,001176: 04,3077           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049844,001177: 04,3100           77656                           UNIT                                           
049845,001178: 04,3101           02722                           STORE    UR1                                   #  UR1 (+1)
049846,001179: 04,3102           72441                           DOT      SL1                                   
049847,001180: 04,3103           02712                                    U2                                    
049848,001181: 04,3104           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049849,001182: 04,3105           00045                                    36D                                   
049850,001183: 04,3106           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049851,001184: 04,3107           02722                                    UR1                                   
049852,001185: 04,3110           76435                           VXV      VSL1                                  
049853,001186: 04,3111           02712                                    U2                                    
049854,001187: 04,3112           75214                           BON      SIGN                                  
049855,001188: 04,3113           03705                                    NORMSW                                
049856,001189: 04,3114           11126                                    HAVENORM                              
049857,001190: 04,3115           02673                                    GEOMSGN                               
049858,001191: 04,3116           40056                           UNIT     BOV                                   
049859,001192: 04,3117           11124                                    COLINEAR                              
049860,001193: 04,3120           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049861,001194: 04,3121           00045                                    36D                                   
049862,001195: 04,3122           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049863,001196: 04,3123           02673                                    GEOMSGN                               
049864,001197: 
049865,001198: 04,3124           52162        COLINEAR           VSR1     GOTO                                  
049866,001199: 04,3125           11120                                    UNITNORM                              
049867,001200: 
049868,001201: 04,3126           75246        HAVENORM           ABVAL    SIGN                                  
049869,001202: 04,3127           02673                                    GEOMSGN                               
049870,001203: 04,3130           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049871,001204: 

Page 1183

049873,001206: 12,2767                                           BANK     12                                    
049874,001207: 12,2000                                           SETLOC   CONICS                                
049875,001208: 12,2000                                           BANK                                           
049876,001209: 
049877,001210: 12,2767                                           COUNT*   $$/CONIC                              
049878,001211: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049879,001212: 12,2770           00003                                    3                                     
049880,001213: 12,2771           00052                                    S2                                    
049881,001214: 12,2772           00001                                    1                                     
049882,001215: 12,2773           77614                           CLEAR                                          
049883,001216: 12,2774           04276                                    360SW                                 
049884,001217: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049885,001218: 12,2776           02732                                    CSTH                                  
049886,001219: 12,2777           44342                           SR1      BDSU                                  
049887,001220: 12,3000           11003                                    D1/4                                  
049888,001221: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049889,001222: 12,3002           02730                                    SNTH                                  
049890,001223: 12,3003           21607                                    6                                     
049891,001224: 12,3004           77671                           DDV                                            #                                PL AT 2
049892,001225: 12,3005           77600                           BOV                                            
049893,001226: 12,3006           25122                                    360CHECK                              
049894,001227: 12,3007           41225                           DSU      DMP                                   
049895,001228: 12,3010           02766                                    COGA                                  #                                PL AT 0
049896,001229: 12,3011           40132                           SL2R     BOV                                   
049897,001230: 12,3012           25122                                    360CHECK                              
049898,001231: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049899,001232: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049900,001233: 12,3015           00155                                    MPAC                                  
049901,001234: 12,3016           02742                                    R1A                                   
049902,001235: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049903,001236: 12,3020           75440                           BMN      SQRT                                  
049904,001237: 12,3021           25205                                    INFINITY                              
049905,001238: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049906,001239: 12,3023           61000                           BOV      TIX,2                                 
049907,001240: 12,3024           25120                                    RESETX2                               
049908,001241: 12,3025           25013                                    WLOOP                                 
049909,001242: 
049910,001243: 12,3026           40065                           BDDV     BOV                                   
049911,001244: 12,3027           10777                                    D1/128                                
049912,001245: 12,3030           25205                                    INFINITY                              
049913,001246: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049914,001247: 12,3032           25205                                    INFINITY                              
049915,001248: 12,3033           77716                           DSQ                                            
049916,001249: 12,3034           41301                           NORM     DMP                                   
049917,001250: 12,3035           00047                                    X1                                    
049918,001251: 12,3036           02742                                    R1A                                   
049919,001252: 12,3037           77457                           SRR*     EXIT                                  
049920,001253: 12,3040           21567                                    0          -10D,1                     
049921,001254: 12,3041           07225                           TC       POLY                                  

Page 1184

049923,001256: 12,3042           00005                           DEC      5          B-14                       
049924,001257: 12,3043           20000 00000                     2DEC     .5                                    
049925,001258: 12,3045           72525 52471                     2DEC     -.166666770                            
049926,001259: 12,3047           03146 15003                     2DEC     .100000392                            
049927,001260: 12,3051           75556 45210                     2DEC     -.071401086                            
049928,001261: 12,3053           01615 13553                     2DEC     .055503292                            
049929,001262: 12,3055           76371 63777                     2DEC     -.047264098                            
049930,001263: 12,3057           01232 27367                     2DEC     .040694204                            
049931,001264: 
049932,001265: 12,3061           06042                           TC       INTPRET                               
049933,001266: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049934,001267: 12,3063           43006                           PUSH     BON                                   
049935,001268: 12,3064           04316                                    360SW                                 
049936,001269: 12,3065           25172                                    TRUE360X                              
049937,001270: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049938,001271: 12,3067           00047                                    X1                                    
049939,001272: 12,3070           53605                           DMP      SRR*                                  
049940,001273: 12,3071           02742                                    R1A                                   
049941,001274: 12,3072           21565                                    0          -12D,1                     
049942,001275: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049943,001276: 12,3074           00041                                    R1                                    
049944,001277: 12,3075           75542                           SR1      SQRT                                  
049945,001278: 12,3076           41306                           ROUND    DMP                                   
049946,001279: 12,3077           77632                           SL4R                                           #                                PL AT 0
049947,001280: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049948,001281: 
049949,001282: 12,3101           60316                           DSQ      NORM                                  
049950,001283: 12,3102           00047                                    X1                                    
049951,001284: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049952,001285: 12,3104           02740                                    P                                     
049953,001286: 12,3105           00041                                    R1                                    
049954,001287: 12,3106           75452                           SL3      SQRT                                  
049955,001288: 12,3107           56405                           DMP      SL3R                                  
049956,001289: 12,3110           02766                                    COGA                                  
049957,001290: 12,3111           14043                           STODL    KEPC1                                 
049958,001291: 12,3112           02742                                    R1A                                   
049959,001292: 12,3113           43021                           BDSU     CLEAR                                 
049960,001293: 12,3114           11001                                    D1/64                                 
049961,001294: 12,3115           04270                                    INFINFLG                              
049962,001295: 12,3116           00045                           STORE    KEPC2                                 
049963,001296: 12,3117           77616                           RVQ                                            
049964,001297: 

Page 1185

049966,001299: 12,3120           77774        RESETX2            AXT,2                                          
049967,001300: 12,3121           00003                                    3                                     
049968,001301: 
049969,001302: 12,3122           51001        360CHECK           SETPD    BPL                                   
049970,001303: 12,3123           00001                                    0D                                    
049971,001304: 12,3124           25127                                    INVRSEQN                              
049972,001305: 12,3125           77614                           SET                                            
049973,001306: 12,3126           04076                                    360SW                                 
049974,001307: 
049975,001308: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
049976,001309: 12,3130           02740                                    P                                     
049977,001310: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
049978,001311: 12,3132           02730                                    SNTH                                  
049979,001312: 12,3133           02766                                    COGA                                  
049980,001313: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
049981,001314: 12,3135           02732                                    CSTH                                  
049982,001315: 12,3136           43202                           SR4      DAD                                   
049983,001316: 12,3137           11007                                    D1/32                                 
049984,001317: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
049985,001318: 12,3141           55301                           NORM     BDDV                                  
049986,001319: 12,3142           00047                                    X1                                    
049987,001320: 12,3143           02730                                    SNTH                                  
049988,001321: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
049989,001322: 12,3145           21174                                    0          -5,1                       
049990,001323: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
049991,001324: 12,3147           14043                           STODL    34D                                   
049992,001325: 12,3150           11005                                    D1/16                                 
049993,001326: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
049994,001327: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
049995,001328: 12,3153           21634                                    TPMODE                                
049996,001329: 12,3154           02742                                    R1A                                   
049997,001330: 12,3155           40405                           DMP      SR4                                   
049998,001331: 12,3156           00043                                    34D                                   
049999,001332: 12,3157           77771                           TAD                                            
050000,001333: 12,3160           75440                           BMN      SQRT                                  #                                PL AT 4
050001,001334: 12,3161           25205                                    INFINITY                              
050002,001335: 12,3162           77615                           DAD                                            #                                PL AT 2
050003,001336: 12,3163           60304                           TIX,2    NORM                                  
050004,001337: 12,3164           25151                                    1/WLOOP                               
050005,001338: 12,3165           00047                                    X1                                    
050006,001339: 12,3166           77665                           BDDV                                           
050007,001340: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
050008,001341: 12,3170           21172                                    0          -7,1                       
050009,001342: 12,3171           25031                                    POLYCOEF                              
050010,001343: 
050011,001344: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050012,001345: 12,3173           02742                                    R1A                                   

Page 1186

050014,001347: 12,3174           25205                                    INFINITY                              
050015,001348: 12,3175           60366                           SQRT     NORM                                  
050016,001349: 12,3176           00047                                    X1                                    
050017,001350: 12,3177           53665                           BDDV     SL*                                   
050018,001351: 12,3200           11021                                    2PISC                                 
050019,001352: 12,3201           20176                                    0          -3,1                       
050020,001353: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
050021,001354: 12,3203           77650                           GOTO                                           
050022,001355: 12,3204           25066                                    XCOMMON                               
050023,001356: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050024,001357: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050025,001358: 12,3207           25210                                    OVFLCLR                               
050026,001359: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050027,001360: 12,3211           04070                                    INFINFLG                              
050028,001361: 

Page 1187

050030,001363: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050031,001364: 12,3213           02710                                    RTNLAMB                               
050032,001365: 12,3214           00001                                    0D                                    
050033,001366: 12,3215           77600                           BOV                                            
050034,001367: 12,3216           25217                                    +1                                    
050035,001368: 12,3217           76614                           CLEAR    VLOAD*                                
050036,001369: 12,3220           02674                                    SOLNSW                                
050037,001370: 12,3221           10005                                    MUTABLE,1                             
050038,001371: 12,3222           14017                           STODL    1/MU                                  
050039,001372: 12,3223           02671                                    TDESIRED                              
050040,001373: 12,3224           77675                           DMPR                                           
050041,001374: 12,3225           11006                                    BEE19                                 
050042,001375: 12,3226           02764                           STORE    EPSILONL                              
050043,001376: 12,3227           77214                           SET      VLOAD                                 
050044,001377: 12,3230           00474                                    SLOPESW                               
050045,001378: 12,3231           02655                                    R1VEC                                 
050046,001379: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050047,001380: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050048,001381: 12,3234           11074                                    GEOM                                  
050049,001382: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050050,001383: 12,3236           02720                                    MAGVEC2                               
050051,001384: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050052,001385: 12,3240           00047                                    X1                                    
050053,001386: 12,3241           00041                                    R1                                    
050054,001387: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050055,001388: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050056,001389: 12,3244           20173                                    0          -6,1                       
050057,001390: 12,3245           77626                           STADR                                          
050058,001391: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050059,001392: 12,3247           44342                           SR1      BDSU                                  
050060,001393: 12,3250           11003                                    D1/4                                  
050061,001394: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050062,001395: 
050063,001396: 12,3252           53106                           ROUND    BZE                                   
050064,001397: 12,3253           25473                                    360LAMB                               
050065,001398: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050066,001399: 12,3255           00047                                    X1                                    
050067,001400: 12,3256           00001                                    0D                                    
050068,001401: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050069,001402: 12,3260           75457                           SL*      SQRT                                  
050070,001403: 12,3261           20176                                    0          -3,1                       
050071,001404: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050072,001405: 12,3263           02730                                    SNTH                                  
050073,001406: 12,3264           20607                                    6                                     
050074,001407: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050075,001408: 12,3266           02734                                    1-CSTH                                
050076,001409: 12,3267           77626                           STADR                                          
050077,001410: 12,3270           77760                           STORE    COGAMAX                               
050078,001411: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050079,001412: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1188

050081,001414: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
050082,001415: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050083,001416: 12,3275           11025                                    COGUPLIM                              
050084,001417: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050085,001418: 12,3277           77745        UPLIM              DLOAD                                          
050086,001419: 12,3300           11025                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050087,001420: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
050088,001421: 12,3302           77745        MAXCOGA            DLOAD                                          
050089,001422: 12,3303           02732                                    CSTH                                  
050090,001423: 12,3304           45261                           SR       DSU                                   #                                        PL AT 0
050091,001424: 12,3305           20607                                    6                                     
050092,001425: 12,3306           77626                           STADR                                          
050093,001426: 12,3307           61041                           STODL    CSTH-RHO                              
050094,001427: 12,3310           02673                                    GEOMSGN                               
050095,001428: 12,3311           71240                           BMN      DLOAD                                 
050096,001429: 12,3312           25513                                    LOLIM                                 
050097,001430: 12,3313           02736                                    CSTH-RHO                              
050098,001431: 12,3314           56352                           SL1      DDV                                   
050099,001432: 12,3315           02730                                    SNTH                                  
050100,001433: 12,3316           77600                           BOV                                            
050101,001434: 12,3317           25513                                    LOLIM                                 
050102,001435: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050103,001436: 12,3321           66214                           BON      SSP                                   
050104,001437: 12,3322           00715                                    GUESSW                                
050105,001438: 12,3323           25477                                    NOGUESS                               
050106,001439: 12,3324           00051                                    TWEEKIT                               
050107,001440: 12,3325           00001                                    00001                                 
050108,001441: 12,3326           77745                           DLOAD                                          
050109,001442: 12,3327           02766                                    COGA                                  
050110,001443: 
050111,001444: 12,3330           77605        LAMBLOOP           DMP                                            
050112,001445: 12,3331           02730                                    SNTH                                  
050113,001446: 12,3332           45342                           SR1      DSU                                   
050114,001447: 12,3333           02736                                    CSTH-RHO                              
050115,001448: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1))    PL = 2
050116,001449: 12,3335           00047                                    X1                                    
050117,001450: 12,3336           02734                                    1-CSTH                                
050118,001451: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                           PL AT 0
050119,001452: 12,3340           20170                                    0          -9D,1                      
050120,001453: 12,3341           53040                           BMN      BZE                                   
050121,001454: 12,3342           25427                                    NEGP                                  
050122,001455: 12,3343           25427                                    NEGP                                  
050123,001456: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050124,001457: 12,3345           02766                                    COGA                                  
050125,001458: 12,3346           43316                           DSQ      DAD                                   
050126,001459: 12,3347           11011                                    D1/1024                               
050127,001460: 12,3350           41301                           NORM     DMP                                   
050128,001461: 12,3351           00047                                    X1                                    
050129,001462: 12,3352           02740                                    P                                     

Page 1189

050131,001464: 12,3353           44257                           SR*      BDSU                                  
050132,001465: 12,3354           20571                                    0          -8D,1                      
050133,001466: 12,3355           11007                                    D1/32                                 
050134,001467: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050135,001468: 12,3357           02740                                    P                                     
050136,001469: 12,3360           45000                           BOV      CALL                                  
050137,001470: 12,3361           25432                                    HIENERGY                              
050138,001471: 12,3362           24767                                    GETX                                  
050139,001472: 12,3363           77745                           DLOAD                                          
050140,001473: 12,3364           00037                                    T                                     
050141,001474: 12,3365           16762                           STODL    TPREV                                 
050142,001475: 12,3366           00031                                    XI                                    
050143,001476: 12,3367           45014                           BON      CALL                                  
050144,001477: 12,3370           04310                                    INFINFLG                              
050145,001478: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050146,001479: 12,3372           24421                                    DELTIME                               
050147,001480: 12,3373           44200                           BOV      BDSU                                  
050148,001481: 12,3374           25447                                    BIGTIME                               
050149,001482: 12,3375           02671                                    TDESIRED                              
050150,001483: 12,3376           02760                           STORE    TERRLAMB                              
050151,001484: 12,3377           44246                           ABS      BDSU                                  
050152,001485: 12,3400           02764                                    EPSILONL                              
050153,001486: 12,3401           47044                           BPL      RTB                                   
050154,001487: 12,3402           25516                                    INITV                                 
050155,001488: 12,3403           24644                                    CHECKCTR                              
050156,001489: 12,3404           43030                           BHIZ     BON                                   
050157,001490: 12,3405           25460                                    SUFFCHEK                              
050158,001491: 12,3406           00714                                    SLOPESW                               
050159,001492: 12,3407           25415                                    GOITER                                
050160,001493: 12,3410           45345                           DLOAD    DSU                                   
050161,001494: 12,3411           00037                                    T                                     
050162,001495: 12,3412           02762                                    TPREV                                 
050163,001496: 12,3413           77654                           BZE                                            
050164,001497: 12,3414           25460                                    SUFFCHEK                              
050165,001498: 12,3415           77624        GOITER             CALL                                           
050166,001499: 12,3416           24536                                    ITERATOR                              
050167,001500: 12,3417           53145                           DLOAD    BZE                                   
050168,001501: 12,3420           00155                                    MPAC                                  
050169,001502: 12,3421           25460                                    SUFFCHEK                              
050170,001503: 12,3422           77615                           DAD                                            
050171,001504: 12,3423           02766                                    COGA                                  
050172,001505: 12,3424           02766                           STORE    COGA                                  
050173,001506: 12,3425           77650                           GOTO                                           
050174,001507: 12,3426           25330                                    LAMBLOOP                              
050175,001508: 
050176,001509: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050177,001510: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION.  TRY NEW COGA.
050178,001511: 12,3431           25452                                    LOENERGY                              
050179,001512: 

Page 1190

050181,001514: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050182,001515: 12,3433           00001                                    0                                     
050183,001516: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050184,001517: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050185,001518: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
050186,001519: 12,3437           00015                                    DCOGA                                 
050187,001520: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050188,001521: 12,3441           44254                           BZE      BDSU                                  
050189,001522: 12,3442           25460                                    SUFFCHEK                              
050190,001523: 12,3443           02766                                    COGA                                  
050191,001524: 12,3444           02766                           STORE    COGA                                  
050192,001525: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
050193,001526: 12,3446           25330                                    LAMBLOOP                              
050194,001527: 
050195,001528: 12,3447           77745        BIGTIME            DLOAD                                          
050196,001529: 12,3450           02762                                    TPREV                                 
050197,001530: 12,3451           00037                           STORE    T                                     
050198,001531: 
050199,001532: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050200,001533: 12,3453           00001                                    0                                     
050201,001534: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050202,001535: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050203,001536: 12,3456           77650                           GOTO                                           
050204,001537: 12,3457           25436                                    COMMONLM                              
050205,001538: 
050206,001539: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
050207,001540: 12,3461           02760                                    TERRLAMB                              
050208,001541: 12,3462           41325                           PDDL     DMP                                   
050209,001542: 12,3463           02671                                    TDESIRED                              #                                PL AT 2D
050210,001543: 12,3464           10774                                    BEE17                                 
050211,001544: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
050212,001545: 12,3466           11023                                    ONEBIT                                
050213,001546: 12,3467           43044                           BPL      SETGO                                 
050214,001547: 12,3470           25516                                    INITV                                 
050215,001548: 12,3471           02434                                    SOLNSW                                
050216,001549: 12,3472           25516                                    INITV                                 
050217,001550: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050218,001551: 12,3474           00001                                    0                                     
050219,001552: 12,3475           02434                                    SOLNSW                                
050220,001553: 12,3476           02710                                    RTNLAMB                               
050221,001554: 
050222,001555: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
050223,001556: 12,3500           00051                                    TWEEKIT                               
050224,001557: 12,3501           10000                                    20000                                 
050225,001558: 12,3502           00011                                    COGAMIN                               
050226,001559: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2

Page 1191

050228,001561: 12,3504           00017                                    COGAMAX                               
050229,001562: 12,3505           43342                           SR1      DAD                                   
050230,001563: 12,3506           77626                           STADR                                          #                                PL AT 0
050231,001564: 12,3507           75011                           STORE    COGA                                  
050232,001565: 12,3510           00015                           STORE    DCOGA                                 
050233,001566: 12,3511           77650                           GOTO                                           
050234,001567: 12,3512           25330                                    LAMBLOOP                              
050235,001568: 
050236,001569: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
050237,001570: 12,3514           11027                                    COGLOLIM                              #  COGLOLIM=-.999511597
050238,001571: 12,3515           25320                                    MINCOGA                               
050239,001572: 
050240,001573: 12,3516           60345        INITV              DLOAD    NORM                                  
050241,001574: 12,3517           00041                                    R1                                    
050242,001575: 12,3520           00047                                    X1                                    
050243,001576: 12,3521           70525                           PDDL     SR1                                   #                                PL AT 2
050244,001577: 12,3522           02740                                    P                                     
050245,001578: 12,3523           77671                           DDV                                            #                                PL AT 0
050246,001579: 12,3524           75457                           SL*      SQRT                                  
050247,001580: 12,3525           20175                                    0          -4,1                       
050248,001581: 12,3526           72405                           DMP      SL1                                   
050249,001582: 12,3527           00021                                    ROOTMU                                
050250,001583: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
050251,001584: 12,3531           02766                                    COGA                                  
050252,001585: 12,3532           74261                           SL       VXSC                                  
050253,001586: 12,3533           20206                                    5                                     
050254,001587: 12,3534           02722                                    UR1                                   
050255,001588: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
050256,001589: 12,3536           76561                           VXSC     VSL1                                  
050257,001590: 12,3537           02674                                    UN                                    
050258,001591: 12,3540           53235                           VXV      VAD                                   
050259,001592: 12,3541           02722                                    UR1                                   #                                PL AT 0
050260,001593: 12,3542           77772                           VSL1                                           
050261,001594: 12,3543           02744                           STORE    VVEC                                  
050262,001595: 12,3544           53135                           SLOAD    BZE                                   
050263,001596: 12,3545           02702                                    VTARGTAG                              
050264,001597: 12,3546           25551                                    TARGETV                               
050265,001598: 12,3547           77650                           GOTO                                           
050266,001599: 12,3550           02710                                    RTNLAMB                               
050267,001600: 
050268,001601: 12,3551           45145        TARGETV            DLOAD    CALL                                  
050269,001602: 12,3552           02720                                    MAGVEC2                               
050270,001603: 12,3553           24701                                    LAMENTER                              
050271,001604: 12,3554           02703                           STORE    VTARGET                               
050272,001605: 12,3555           77650                           GOTO                                           
050273,001606: 12,3556           02710                                    RTNLAMB                               
050274,001607: 

Page 1192

050276,001609: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
050277,001610: 12,3560           02710                                    RTNTR                                 
050278,001611: 12,3561           00001                                    0                                     
050279,001612: 12,3562           77600                           BOV                                            
050280,001613: 12,3563           25564                                    +1                                    
050281,001614: 12,3564           63375                           VLOAD    PDVL                                  #                                PL AT 6
050282,001615: 12,3565           02655                                    RVEC                                  
050283,001616: 12,3566           02744                                    VVEC                                  
050284,001617: 12,3567           77624                           CALL                                           
050285,001618: 12,3570           11030                                    PARAM                                 
050286,001619: 12,3571           71200                           BOV      DLOAD                                 
050287,001620: 12,3572           24764                                    COGAOVFL                              #                                PL AT 0
050288,001621: 12,3573           11007                                    D1/32                                 
050289,001622: 12,3574           41225                           DSU      DMP                                   
050290,001623: 12,3575           02742                                    R1A                                   
050291,001624: 12,3576           02740                                    P                                     
050292,001625: 12,3577           41366                           SQRT     DMP                                   
050293,001626: 12,3600           02766                                    COGA                                  
050294,001627: 12,3601           74212                           SL4      VXSC                                  
050295,001628: 12,3602           02712                                    U2                                    
050296,001629: 12,3603           45325                           PDDL     DSU                                   #                                PL AT 6
050297,001630: 12,3604           11001                                    D1/64                                 
050298,001631: 12,3605           02742                                    R1A                                   
050299,001632: 12,3606           52361                           VXSC     VSU                                   #                                PL AT 0
050300,001633: 12,3607           02722                                    UR1                                   
050301,001634: 12,3610           53512                           VSL4     UNIT                                  
050302,001635: 12,3611           77600                           BOV                                            
050303,001636: 12,3612           25670                                    CIRCULAR                              
050304,001637: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
050305,001638: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
050306,001639: 12,3615           00047                                    X1                                    
050307,001640: 12,3616           41325                           PDDL     DMP                                   #                                PL AT 8
050308,001641: 12,3617           00041                                    R1                                    
050309,001642: 12,3620           02740                                    P                                     
050310,001643: 12,3621           56257                           SL*      DDV                                   #                                PL AT 6
050311,001644: 12,3622           20201                                    0,1                                   
050312,001645: 12,3623           56225                           DSU      DDV                                   
050313,001646: 12,3624           11005                                    D1/16                                 
050314,001647: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
050315,001648: 12,3626           00031                           STORE    COSF                                  
050316,001649: 12,3627           63400                           BOV      DSQ                                   
050317,001650: 12,3630           25674                                    BADR2                                 
050318,001651: 12,3631           50021                           BDSU     BMN                                   
050319,001652: 12,3632           11003                                    D1/4                                  
050320,001653: 12,3633           25674                                    BADR2                                 
050321,001654: 12,3634           75366                           SQRT     SIGN                                  
050322,001655: 12,3635           02755                                    SGNRDOT                               
050323,001656: 12,3636           77614                           CLEAR                                          
050324,001657: 12,3637           04272                                    APSESW                                

Page 1193

050326,001659: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
050327,001660: 12,3641           02674                                    UN                                    
050328,001661: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D          PL AT 0,6
050329,001662: 12,3643           00001                                    0D                                    
050330,001663: 12,3644           53361                           VXSC     VAD                                   #                        PL AT 0
050331,001664: 12,3645           00031                                    COSF                                  
050332,001665: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                 PL AT 6
050333,001666: 
050334,001667: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050335,001668: 12,3650           02722                                    UR1                                   
050336,001669: 12,3651           25766                                    DP1/4                                 
050337,001670: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050338,001671: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
050339,001672: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
050340,001673: 12,3655           02722                                    UR1                                   
050341,001674: 12,3656           76435                           VXV      VSL1                                  
050342,001675: 12,3657           72441                           DOT      SL1                                   
050343,001676: 12,3660           02674                                    UN                                    
050344,001677: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
050345,001678: 12,3662           02740                                    P                                     
050346,001679: 12,3663           77624                           CALL                                           
050347,001680: 12,3664           24767                                    GETX                                  
050348,001681: 12,3665           77614                           CLRGO                                          
050349,001682: 12,3666           02634                                    SOLNSW                                
050350,001683: 12,3667           24747                                    COMMNOUT                              
050351,001684: 
050352,001685: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
050353,001686: 12,3671           00001                                    0                                     
050354,001687: 12,3672           02434                                    SOLNSW                                
050355,001688: 12,3673           25752                                    ABTCONIC                              
050356,001689: 
050357,001690: 12,3674           75345        BADR2              DLOAD    SIGN                                  
050358,001691: 12,3675           24005                                    LODPHALF                              
050359,001692: 12,3676           00031                                    COSF                                  
050360,001693: 12,3677           14031                           STODL    COSF                                  
050361,001694: 12,3700           24007                                    KEPZERO                               
050362,001695: 12,3701           77614                           SETGO                                          
050363,001696: 12,3702           04032                                    APSESW                                
050364,001697: 12,3703           25640                                    TERMNVEC                              
050365,001698: 

Page 1194

050367,001700: 12,3704           40220        APSIDES            STQ      SETPD                                 #                        PL AT 0
050368,001701: 12,3705           02710                                    RTNAPSE                               
050369,001702: 12,3706           00001                                    0D                                    
050370,001703: 12,3707           77600                           BOV                                            
050371,001704: 12,3710           25711                                    +1                                    
050372,001705: 12,3711           63375                           VLOAD    PDVL                                  #                        PL AT 6
050373,001706: 12,3712           02655                                    RVEC                                  
050374,001707: 12,3713           02744                                    VVEC                                  
050375,001708: 12,3714           77624                           CALL                                           
050376,001709: 12,3715           11030                                    PARAM                                 
050377,001710: 12,3716           77600                           BOV                                            #                        PL AT 0
050378,001711: 12,3717           25720                                    GETECC                                
050379,001712: 12,3720           42405        GETECC             DMP      SL4                                   
050380,001713: 12,3721           02742                                    R1A                                   
050381,001714: 12,3722           75421                           BDSU     SQRT                                  
050382,001715: 12,3723           11001                                    D1/64                                 
050383,001716: 12,3724           02752                           STORE    ECC                                   
050384,001717: 12,3725           65215                           DAD      PDDL                                  #                        PL AT 2
050385,001718: 12,3726           10775                                    D1/8                                  
050386,001719: 12,3727           00041                                    R1                                    
050387,001720: 12,3730           72405                           DMP      SL1                                   
050388,001721: 12,3731           02740                                    P                                     
050389,001722: 12,3732           77671                           DDV                                            #                        PL AT 0
050390,001723: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)    PL AT 2
050391,001724: 12,3734           02742                                    R1A                                   
050392,001725: 12,3735           00047                                    X1                                    
050393,001726: 12,3736           53725                           PDDL     SL*                                   #                        PL AT 4
050394,001727: 12,3737           00041                                    R1                                    
050395,001728: 12,3740           20174                                    0          -5,1                       
050396,001729: 12,3741           45271                           DDV      DSU                                   #                        PL AT 2,0
050397,001730: 12,3742           50000                           BOV      BMN                                   
050398,001731: 12,3743           25747                                    INFINAPO                              
050399,001732: 12,3744           25747                                    INFINAPO                              
050400,001733: 12,3745           77650                           GOTO                                           
050401,001734: 12,3746           02710                                    RTNAPSE                               
050402,001735: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050403,001736: 12,3750           24020                                    LDPOSMAX                              
050404,001737: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050405,001738: 

Page 1195

050407,001740: 12,3752           77776        ABTCONIC           EXIT                                           
050408,001741: 12,3753           05642                           TC       POODOO                                
050409,001742: 12,3754           20607                           OCT      20607                                 
050410,001743: 
050411,001744: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050412,001745: 
050413,001746:                                                                                                  #  ERASABLE ASSIGNMENTS
050414,001747:                                                                                                  #  KEPLER SUBROUTINE
050415,001748: 
050416,001749:                                                                                                  #  INPUT -
050417,001750:                                                                                                  #  RRECT         ERASE   +5
050418,001751:                                                                                                  #  VRECT         ERASE   +5
050419,001752:                                                                                                  #  TAU.          ERASE   +1
050420,001753:                                                                                                  #  XKEP          ERASE   +1
050421,001754:                                                                                                  #  TC            ERASE   +1
050422,001755:                                                                                                  #  XPREV         ERASE   +1
050423,001756: 12,3755                        1/MU               EQUALS   14D                                   
050424,001757: 12,3755                        ROOTMU             EQUALS   16D                                   
050425,001758: 12,3755                        1/ROOTMU           EQUALS   18D                                   
050426,001759: 
050427,001760:                                                                                                  #  OUTPUT -
050428,001761:                                                                                                  #  RCV           ERASE   +5
050429,001762:                                                                                                  #  VCV           ERASE   +5
050430,001763:                                                                                                  #  RC            ERASE   +1
050431,001764:                                                                                                  #  XPREV         ERASE   +1
050432,001765: 
050433,001766:                                                                                                  #  DEBRIS -
050434,001767: 12,3755                        ALPHA              EQUALS   8D                                    
050435,001768: 12,3755                        XMAX               EQUALS   10D                                   
050436,001769: 12,3755                        XMIN               EQUALS   12D                                   
050437,001770: 12,3755                        X                  EQUALS   20D                                   
050438,001771: 12,3755                        XI                 EQUALS   24D                                   
050439,001772: 12,3755                        S(XI)              EQUALS   26D                                   
050440,001773: 12,3755                        XSQC(XI)           EQUALS   28D                                   
050441,001774: 12,3755                        T                  EQUALS   30D                                   
050442,001775: 12,3755                        R1                 EQUALS   32D                                   
050443,001776: 12,3755                        KEPC1              EQUALS   34D                                   
050444,001777: 12,3755                        KEPC2              EQUALS   36D                                   
050445,001778:                                                                                                  #  DELX          ERASE   +1
050446,001779:                                                                                                  #  DELT          ERASE   +1
050447,001780:                                                                                                  #  URRECT        ERASE   +5
050448,001781:                                                                                                  #  RCNORM        ERASE   +1
050449,001782:                                                                                                  #  XPREV         EQUALS  XKEP
050450,001783: 
050451,001784: 
050452,001785:                                                                                                  #  LAMBERT SUBROUTINE
050453,001786: 
050454,001787:                                                                                                  #  INPUT -
050455,001788:                                                                                                  #  R1VEC         ERASE   +5

Page 1196

050457,001790:                                                                                                  #  R2VEC         ERASE   +5
050458,001791:                                                                                                  #  TDESIRED      ERASE   +1
050459,001792:                                                                                                  #  GEOMSGN       ERASE   +0
050460,001793:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
050461,001794:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
050462,001795:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050463,001796:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
050464,001797:                                                                                                  #  VTARGTAG      ERASE   +0
050465,001798:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
050466,001799: 
050467,001800:                                                                                                  #  OUTPUT -
050468,001801:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
050469,001802:                                                                                                  #  V1VEC         EQUALS  MPAC
050470,001803: 
050471,001804:                                                                                                  #  DEBRIS -
050472,001805:                                                                                                  #  RTNLAMB       ERASE   +0
050473,001806:                                                                                                  #  U2            ERASE   +5
050474,001807:                                                                                                  #  MAGVEC2       ERASE   +1
050475,001808:                                                                                                  #  UR1           ERASE   +5
050476,001809:                                                                                                  #  R1            EQUALS  31D
050477,001810:                                                                                                  #  UN            ERASE   +5
050478,001811:                                                                                                  #  SNTH          ERASE   +1
050479,001812:                                                                                                  #  CSTH          ERASE   +1
050480,001813:                                                                                                  #  1-CSTH        ERASE   +1
050481,001814:                                                                                                  #  CSTH-RHO      ERASE   +1
050482,001815: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050483,001816: 12,3755                        COGAMIN            EQUALS   8D                                    
050484,001817: 12,3755                        DCOGA              EQUALS   12D                                   
050485,001818:                                                                                                  #  TWEEKIT       EQUALS  40D
050486,001819:                                                                                                  #  P             ERASE   +1
050487,001820:                                                                                                  #  COGA          ERASE   +1
050488,001821:                                                                                                  #  R1A           ERASE   +1
050489,001822:                                                                                                  #  X             EQUALS  20D
050490,001823:                                                                                                  #  XSQ           EQUALS  22D
050491,001824:                                                                                                  #  XI            EQUALS  24D
050492,001825:                                                                                                  #  S(XI)         EQUALS  26D
050493,001826:                                                                                                  #  XSQC(XI)      EQUALS  28D
050494,001827:                                                                                                  #  T             EQUALS  30D
050495,001828:                                                                                                  #  KEPC1         EQUALS  34D
050496,001829:                                                                                                  #  KEPC2         EQUALS  36D
050497,001830:                                                                                                  #  SLOPESW
050498,001831:                                                                                                  #  SOLNSW
050499,001832: 
050500,001833:                                                                                                  #  OTHERS -
050501,001834:                                                                                                  #  RVEC          EQUALS  R1VEC
050502,001835:                                                                                                  #  VVEC          ERASE   +5
050503,001836:                                                                                                  #  COGAFLAG
050504,001837:                                                                                                  #  RVSW
050505,001838:                                                                                                  #  INFINFLG
050506,001839:                                                                                                  #  APSESW

Page 1197

050508,001841:                                                                                                  #  360SW
050509,001842:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
050510,001843:                                                                                                  #  ECC           ERASE   +1
050511,001844:                                                                                                  #  RTNTR         EQUALS  RTNLAMB
050512,001845:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
050513,001846:                                                                                                  #  R2            EQUALS  MAGVEC2
050514,001847: 12,3755                        COSF               EQUALS   24D                                   
050515,001848:                                                                                                  #  RTNPRM        ERASE   +0
050516,001849:                                                                                                  #  SGNRDOT       ERASE   +0
050517,001850:                                                                                                  #  RDESIRED      ERASE   +1
050518,001851: 
050519,001852: 
050520,001853:                                                                                                  #  ITERATOR SUBROUTINE
050521,001854:                                                                                                  #  ORDERSW
050522,001855: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050523,001856: 12,3755                        MIN                EQUALS   8D                                    
050524,001857:                                                                                                  #  INDEP         ERASE   +1
050525,001858: 12,3755                        DELINDEP           EQUALS   12D                                   
050526,001859: 12,3755                        ITERCTR            EQUALS   22D                                   
050527,001860: 12,3755                        DEP                EQUALS   30D                                   
050528,001861:                                                                                                  #  DELDEP        ERASE   +1
050529,001862:                                                                                                  #  DEPREV        ERASE   +1
050530,001863: 12,3755                        TWEEKIT            EQUALS   40D                                   
050531,001864: 
050532,001865: 
050533,001866:                                                                                                  #  MORE KEPLER
050534,001867:                                                                                                  #  EPSILONT      ERASE   +1
050535,001868: 
050536,001869: 
050537,001870:                                                                                                  #  MORE LAMBERT
050538,001871:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
050539,001872:                                                                                                  #  TPREV         EQUALS  DEPREV
050540,001873:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD
050541,001874: 

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