proof(luminary099): page 1160
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# Page 1160
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# PROGRAM DESCRIPTION - KEPLER SUBROUTINE DATE - 11 OCTOBER 1967
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# MOD NO. -1 LOG SECTION - CONIC SUBROUTINES
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# MOD NO. -1 LOG SECTION - CONIC SUBROUTINES
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# MOD BY KRAUSE ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
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# MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
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# MOD NO. - 3 (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
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# MOD NO. - 4 (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
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#
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# MOD NO. - 3 (DEC 1968) BY ROBERTSON: SUPPRESSION OF X-MODULO-ING
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#
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# MOD NO. - 4 (JAN 1969) BY ROBERTSON: CLEAR OVFIND AT KEPLER ENTRY
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#
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# FUNCTIONAL DESCRIPTION -
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# THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
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# BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR. THE TRAJECTORY MAY BE ANY CONIC
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# SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERPOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
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# SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON. THE
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# USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
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# INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY. AN ITERATION
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# TECHNIQUE IS UTILIZED IN THE COMPUTATION.
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#
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# INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY. AN ITERA-
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# TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
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# IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
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# EXTRAPOLATING THE POSITION BACKWARD IN TIME.
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#
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# IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
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# MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
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#
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# THE RESTRICTIONS ARE -
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# 1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
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# 2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP. IF
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# ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
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# 2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP. IF
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# ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
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#
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# THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
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# GUESS, XKFPNEW. THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
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# GUESS, XKEPNEW. THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
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# FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
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#
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#
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# REFERENCES -
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# R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
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# MEMO 67-4.
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# MEMO 67-4.
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#
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#
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# INPUT - ERASABLE INITIALIZATION REQUIRED
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# * SCALE FACTOR *
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# VARIABLE *IN POWERS OF 2 * DESCRIPTION AND REMARKS
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# -------- *-------------- * -----------------------
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# RRECT * +29 FOR EARTH * DP INITIAL POSITION VECTOR IN METERS
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# * +27 FOR MOON *
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# * SCALE FACTOR *
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# VARIABLE *IN POWERS OF 2* DESCRIPTION AND REMARKS
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# -------- *--------------* -----------------------
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# RRECT * +29 FOR EARTH* DP INITIAL POSITION VECTOR IN METERS
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# * +27 FOR MOON *
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# Page 1161
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# VRECT * +7 FOR EARTH * DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
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# * +5 FOR MOON *
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