proof(luminary099): page 1169
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# MOD NO. -1 LOG SECTION - CONIC SUBROUTINES
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# MOD BY KRAUSE ASSEMBLY - COLOSSUS REVISION 88
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#
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#
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# FUNCTIONAL DESCRIPTION -
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#
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# THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
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# STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
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# PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR. THE RESULTING TRAJECTORY MAY BE A SECTION OF A
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# CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON. THE USE OF THE SUBROUTINE CAN BE
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# EXTENDED USING OTHER PRIMARY BODIES BY SIMMPE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
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# EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
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# ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
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#
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# IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
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# APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
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#
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#
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# THE RESTRICTIONS ARE -
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# 1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
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# AND LESS THAN 178 DEGREES 12.5 MINUTES.
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# RDESIRED INCREASE. THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR. IN
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# PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
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#
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# THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS.
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# THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
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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 MEMO 67-8.
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#
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# INPUT - ERASABLE INITIALIZATION REQUIRED.
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#
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# INPUT - ERASABLE INITIALIZATION REQUIRED
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#
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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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# RVEC * +29 FOR EARTH * DP INITIAL POSITION VECTOR IN METERS
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# VARIABLE *IN POWERS OF 2* DESCRIPTION AND REMARKS
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# -------- *--------------* -----------------------
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# RVEC * +29 FOR EARTH* DP INITIAL POSITION VECTOR IN METERS
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# * +27 FOR MOON *
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# VVEC * +7 FOR EARTH * DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
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# * +5 FOR MOON *
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# RDESIRED * +29 FOR EARTH * DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
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# * +27 FOR MOON * COMPUTED
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# RDESIRED * +29 FOR EARTH* DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
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# * +27 FOR MOON * COMPUTED.
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# SGNRDOT * NONE * SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
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# * * POSITIVE OR NEGATIVE, RESPECTIVELY. THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A
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# Page 1170
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