711 lines
23 KiB
ArmAsm
711 lines
23 KiB
ArmAsm
|
# Copyright: Public domain.
|
||
|
|
# Filename: TIME_OF_FREE_FALL.agc
|
||
|
|
# Purpose: Part of the source code for Colossus 2A, AKA Comanche 055.
|
||
|
|
# It is part of the source code for the Command Module's (CM)
|
||
|
|
# Apollo Guidance Computer (AGC), for Apollo 11.
|
||
|
|
# Assembler: yaYUL
|
||
|
|
# Contact: Ron Burkey <info@sandroid.org>.
|
||
|
|
# Website: www.ibiblio.org/apollo.
|
||
|
|
# Pages: 1373-1388
|
||
|
|
# Mod history: 2009-05-10 SN (Sergio Navarro). Started adapting
|
||
|
|
# from the Colossus249/ file of the same
|
||
|
|
# name, using Comanche055 page images.
|
||
|
|
#
|
||
|
|
# This source code has been transcribed or otherwise adapted from digitized
|
||
|
|
# images of a hardcopy from the MIT Museum. The digitization was performed
|
||
|
|
# by Paul Fjeld, and arranged for by Deborah Douglas of the Museum. Many
|
||
|
|
# thanks to both. The images (with suitable reduction in storage size and
|
||
|
|
# consequent reduction in image quality as well) are available online at
|
||
|
|
# www.ibiblio.org/apollo. If for some reason you find that the images are
|
||
|
|
# illegible, contact me at info@sandroid.org about getting access to the
|
||
|
|
# (much) higher-quality images which Paul actually created.
|
||
|
|
#
|
||
|
|
# Notations on the hardcopy document read, in part:
|
||
|
|
#
|
||
|
|
# Assemble revision 055 of AGC program Comanche by NASA
|
||
|
|
# 2021113-051. 10:28 APR. 1, 1969
|
||
|
|
#
|
||
|
|
# This AGC program shall also be referred to as
|
||
|
|
# Colossus 2A
|
||
|
|
|
||
|
|
# Page 1373
|
||
|
|
# THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
|
||
|
|
# KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE, AND 1/SQRT(MU) AT THE
|
||
|
|
# APPROPIRATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
|
||
|
|
#
|
||
|
|
# EARTH ORIGIN POSITION -29 METERS
|
||
|
|
# VELOCITY -7 METERS/CENTISECOND
|
||
|
|
# 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
|
||
|
|
#
|
||
|
|
# MOON ORIGIN POSITION -27 METERS
|
||
|
|
# VELOCITY -5 METERS/CENTISECONDS
|
||
|
|
# 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
|
||
|
|
#
|
||
|
|
# ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
|
||
|
|
# THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
|
||
|
|
# LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
|
||
|
|
#
|
||
|
|
# THE USER MUST STORE THE STATE VECTOR IN RONE, VONE, AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
|
||
|
|
# AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
|
||
|
|
# THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
|
||
|
|
#
|
||
|
|
# PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
|
||
|
|
# RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
|
||
|
|
#
|
||
|
|
# THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
|
||
|
|
#
|
||
|
|
# BELOW E: IS USED FOR EARTH ORIGIN SCALE
|
||
|
|
# M: IS USED FOR MOON ORIGIN SCALE
|
||
|
|
#
|
||
|
|
#TFFSW = 119D # BIT1 0 = CALCTFF 1 = CALCTPER
|
||
|
|
TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
|
||
|
|
RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
|
||
|
|
#RPER = 14D # PERIGEE RADIUS M E: (-29) M: (-27)
|
||
|
|
TFFQ1 = 14D # R.V / SQRT(MUE) E: (-16) M: (-15)
|
||
|
|
#SDELF/2 # SIN(THETA) /2
|
||
|
|
CDELF/2 = 14D # COS(THETA) /2
|
||
|
|
#RAPO = 16D # APOGEE RADIUS M E: (-29) M: (-27)
|
||
|
|
NRTERM = 16D # TERMINAL RADIUS M E: (-29+NR)
|
||
|
|
# M: (-27+NR)
|
||
|
|
RTERM = 18D # TERMINAL RADIUS M E: (-29) M: (-27)
|
||
|
|
TFFVSQ = 20D # -(V SQUARED/MU) 1/M E: (20) M: (18)
|
||
|
|
TFF1/ALF = 22D # SEMI MAJ AXIS M E: (-22-2 NA)
|
||
|
|
# M: (-20-2 NA)
|
||
|
|
TFFRTALF = 24D # SQRT(ALFA) E:(10+NA) M: (9+NA)
|
||
|
|
TFFALFA = 26D # ALFA 1/M E:(26-NR) M: (24-NR)
|
||
|
|
TFFNP = 28D # SEMI LATUS RECTUM M E: (-38+2 NR)
|
||
|
|
# M: (-36+2 NR)
|
||
|
|
TFF/RTMU = 30D # 1/SQRT(MU) E: (17) M: (14)
|
||
|
|
NRMAG = 32D # PRESENT RADIUS M E: (-29+NR)
|
||
|
|
# M: (-27+NR)
|
||
|
|
TFFX = 34D #
|
||
|
|
TFFTEM = 36D # TEMPORARY
|
||
|
|
# Page 1374
|
||
|
|
# REGISTERS S1, S2 ARE UNTOUCED BY ANY TFF SUBROUTINE
|
||
|
|
# INDEX REGISTERS X1, X2 ARE USED BY ALL TFF SUBROUTINES. THEY ARE ESTAB-
|
||
|
|
# LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
|
||
|
|
# SUBROUTINES.
|
||
|
|
# -NR C(X1) = NORM COUNT OF RMAG
|
||
|
|
# -NA C(X2) = NORM COUNT OF SQRT(ABS(ALFA))
|
||
|
|
|
||
|
|
# Page 1375
|
||
|
|
# SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
|
||
|
|
# MOD NO: 0 LOG SECTION: TIME OF FREE FALL
|
||
|
|
# MOD BY: RR BAIRNSFATHER
|
||
|
|
# MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
|
||
|
|
# MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
|
||
|
|
# MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
|
||
|
|
#
|
||
|
|
# FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
|
||
|
|
# SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
|
||
|
|
# THE EQUATIONS ARE:
|
||
|
|
# _ __ __
|
||
|
|
# H = RN*VN ANGULAR MOMENTUM
|
||
|
|
# _ _
|
||
|
|
# LCP = H.H / MU SEMI LATUS RECTUM
|
||
|
|
# __ __
|
||
|
|
# ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI MAJ AXIS, SIGNED
|
||
|
|
#
|
||
|
|
# AND ALFA IS POS FOR ELLIPTIC ORBITS
|
||
|
|
# 0 FOR PARABOLIC ORBITS
|
||
|
|
# NEG FOR HYPERBOLIC ORBITS.
|
||
|
|
# SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE:
|
||
|
|
# TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
|
||
|
|
# 1/SQRT(MU). THE PROGRAM WILL SAVE IN TFF/RTMU. THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
|
||
|
|
# ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
|
||
|
|
# VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
|
||
|
|
# TFF ROUTINES.
|
||
|
|
#
|
||
|
|
# ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
|
||
|
|
#
|
||
|
|
# TO SPECIFY MU: DLOAD CALL # IF MU ALREADY STORED: CALL
|
||
|
|
# YOURMU # 1/RTMU E:(17) M:(14) TFFCONMU
|
||
|
|
# TFFCONIC
|
||
|
|
# PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
|
||
|
|
#
|
||
|
|
# SUBROUTINES CALLED: NONE
|
||
|
|
#
|
||
|
|
# NORMAL EXIT MODES: RVQ
|
||
|
|
#
|
||
|
|
# ALARMS: NONE
|
||
|
|
#
|
||
|
|
# OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
|
||
|
|
# RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
|
||
|
|
# NRMAG E:(-29+NR) M RMAG, NORMALIZED
|
||
|
|
# M:(-27+NR)
|
||
|
|
# X1 -NR, NORM COUNT
|
||
|
|
# TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC.
|
||
|
|
# M:(-36+2NR)
|
||
|
|
# TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
|
||
|
|
# TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY, NORMLIZED. FOR VGAMCALC
|
||
|
|
# TFFALFA E:(26-NR) 1/M ALFA, WEIGHTED BY NR
|
||
|
|
# M:(24-NR)
|
||
|
|
# TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED
|
||
|
|
# M:(9+NA)
|
||
|
|
# Page 1376
|
||
|
|
# X2 -NA, NORM COUNT
|
||
|
|
# TFF1/ALF E:(-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
|
||
|
|
# M:(-20-2NA)
|
||
|
|
# PUSHLOC AT PDL+0
|
||
|
|
#
|
||
|
|
# THE FOLLOWING IS STORED IN GENERAL ERASABLE
|
||
|
|
# VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
|
||
|
|
#
|
||
|
|
# ERASABLE INITIALIZATION REQUIRED:
|
||
|
|
# RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
|
||
|
|
# VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
|
||
|
|
# TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
|
||
|
|
#
|
||
|
|
# DEBRIS: QPRET PDL+0 ... PDL+3
|
||
|
|
|
||
|
|
BANK 33
|
||
|
|
SETLOC TOF-FF
|
||
|
|
BANK
|
||
|
|
|
||
|
|
COUNT* $$/TFF
|
||
|
|
|
||
|
|
TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E:(17) M:(14)
|
||
|
|
|
||
|
|
TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
|
||
|
|
RONE # SAVED RN. M E:(-29) M:(-27)
|
||
|
|
PDDL # UR/2 TO PDL+0, +5
|
||
|
|
36D # MAGNITUDE
|
||
|
|
STORE RMAG1 # M E:(-29) M:(-27)
|
||
|
|
|
||
|
|
NORM
|
||
|
|
X1 # -NR
|
||
|
|
STOVL NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
|
||
|
|
VONE # SAVED VN. M/CS E:(-7) M:(-5)
|
||
|
|
VXSC
|
||
|
|
TFF/RTMU # E:(17) M:(14)
|
||
|
|
STORE VONE' # VN/SQRT(MU) E:(10) M:(9)
|
||
|
|
|
||
|
|
VXSC VXV
|
||
|
|
NRMAG # E:(-29+NR) M:(-27+NR)
|
||
|
|
# UR/2 FROM PDL
|
||
|
|
VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
|
||
|
|
STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
|
||
|
|
# SAVE ALSO FOR VGAMCALC
|
||
|
|
TFF1/4
|
||
|
|
DDV PDVL # (2/RMAG) 1/M E:(26-NR) M:(24-NR)
|
||
|
|
NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
|
||
|
|
VONE' # SAVED VN. E:(10) M:(9)
|
||
|
|
VSQ DCOMP # KEEP MPAC+2 HONEST FOR SQRT.
|
||
|
|
STORE TFFVSQ # -(V SQ/MU) E:(20) M:(18)
|
||
|
|
# SAVE FOR VGAMCALC
|
||
|
|
SR* DAD
|
||
|
|
# Page 1377
|
||
|
|
0 -6,1 # GET -VSQ/MU E:(26-NR) M:(24-NR)
|
||
|
|
STADR
|
||
|
|
# 2/RMAG FROM PDL+2
|
||
|
|
STORE TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
|
||
|
|
SL* PUSH # TEMP SAVE ALFA E:(20) M:(18)
|
||
|
|
0 -6,1
|
||
|
|
ABS SQRT # E:(10) M:(9)
|
||
|
|
NORM
|
||
|
|
X2 # X2 = -NA
|
||
|
|
STORE TFFRTALF # SQRT( ABS(ALFA) ) E:(10+NA) M:(9+NA)
|
||
|
|
DSQ SIGN # NOT SO ACCURATE, BUT OK
|
||
|
|
# ALFA FROM PDL+2 E:(20) M:(18)
|
||
|
|
BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
|
||
|
|
+2
|
||
|
|
TFF1/4
|
||
|
|
+2 STORE TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||
|
|
DUMPCNIC RVQ
|
||
|
|
# 39 W
|
||
|
|
# Page 1378
|
||
|
|
# SUBROUTINE NAME: TFFRP/RA DATE: 01.17.67
|
||
|
|
# MOD NO: 0 LOG SECTION: TIME OF FREE FALL
|
||
|
|
# MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
|
||
|
|
# MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
|
||
|
|
# ALSO IMPROVE ACCURACY OF RAPO.
|
||
|
|
#
|
||
|
|
# FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
|
||
|
|
# APOGEE RADIUS FOR A GENERAL CONIC.
|
||
|
|
# PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
|
||
|
|
# RP = P/(1+E) RA = (1+E) / ALFA
|
||
|
|
# WHERE 2
|
||
|
|
# E = 1 - P ALFA
|
||
|
|
# IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
|
||
|
|
# 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
|
||
|
|
# 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
|
||
|
|
# 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
|
||
|
|
#
|
||
|
|
# THIS SUBROUTINE REQUIRED THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI LATUS RECTUM AS DATA.
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE: CALL
|
||
|
|
# TFFRP/RA
|
||
|
|
# PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
|
||
|
|
# C(MPAC) UNSPECIFIED
|
||
|
|
#
|
||
|
|
# SUBROUTINES CALLED: NONE
|
||
|
|
#
|
||
|
|
# NORMAL EXIT MODE: RVQ
|
||
|
|
# IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
|
||
|
|
# OTHERWISE, RAPO = POSMAX.
|
||
|
|
#
|
||
|
|
# ALARMS: NONE
|
||
|
|
#
|
||
|
|
# OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
|
||
|
|
# RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
|
||
|
|
# RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
|
||
|
|
# PUSHLOC AT PDL+0
|
||
|
|
#
|
||
|
|
# ERASABLE INITIALIZATION REQUIRED:
|
||
|
|
# TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
|
||
|
|
# M:(24-NR)
|
||
|
|
# TFFNP E:(-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
|
||
|
|
# M:(-36+2NR)
|
||
|
|
# X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
|
||
|
|
# X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
|
||
|
|
#
|
||
|
|
# DEBRIS: QPRET, PDL+0 ... PDL+1
|
||
|
|
|
||
|
|
# Page 1379
|
||
|
|
RAPO = 16D # APOGEE RADIUS M E:(-29) M:(-27)
|
||
|
|
RPER = 14D # PERIGEE RADIUS M E:(-29) M:(-27)
|
||
|
|
|
||
|
|
TFFRP/RA DLOAD DMP
|
||
|
|
TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
|
||
|
|
TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
|
||
|
|
SR* DCOMP # ALFA P (-12+NR)
|
||
|
|
0 -8D,1 # ALFA P (-4)
|
||
|
|
DAD ABS # (DCOMP GIVES VALID TP RESULT FOR SQRT)
|
||
|
|
# (ABS PROTECTS SQRT IF E IS VERY NEAR 0)
|
||
|
|
DP2(-4)
|
||
|
|
SQRT DAD # E SQ = (1- P ALFA) (-4)
|
||
|
|
TFF1/4
|
||
|
|
PUSH BDDV # (1+E) (-2) TO PDL+0
|
||
|
|
TFFNP # LCP M E:(-38+2NR) M:(-36+2NR)
|
||
|
|
SR* SR* # (DOES SR THEN SL TO AVOID OVFL)
|
||
|
|
0,1 # X1=-NR
|
||
|
|
0 -7,1 # (EFFECTIVE SL)
|
||
|
|
STODL RPER # PERIGEE RADIUS M E:(-29) M:(-27)
|
||
|
|
# (1+E) (-2) FROM PDL+0
|
||
|
|
DMP BOVB
|
||
|
|
TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
|
||
|
|
TCDANZIG # CLEAR OVFIND, IF ON.
|
||
|
|
BZE SL*
|
||
|
|
MAXRA # SET POSMAX IF ALFA=0
|
||
|
|
0 -5,2 # -5+NA
|
||
|
|
SL* BOV
|
||
|
|
0,2
|
||
|
|
MAXRA # SET POSMAX IF OVFL.
|
||
|
|
BPL # CONTINUE WITH VALID RAPO.
|
||
|
|
+3
|
||
|
|
MAXRA DLOAD # RAPO CALC IS NOT VALID. SET RAPO =
|
||
|
|
NEARONE # POSMAX AS A TAG.
|
||
|
|
+3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
|
||
|
|
DUMPRPRA RVQ
|
||
|
|
# 30 W
|
||
|
|
# Page 1380
|
||
|
|
# SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
|
||
|
|
# MOD NO: 0 LOG SECTION: TIME OF FREE FALL
|
||
|
|
# MOD BY: RR BAIRNSFATHER
|
||
|
|
# MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 67
|
||
|
|
# MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 14 APR 67
|
||
|
|
# MOD BY: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
|
||
|
|
# MOD BY: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
|
||
|
|
# MOD BY: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
|
||
|
|
#
|
||
|
|
# FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
|
||
|
|
# VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM, SUPPLIED BY THE USER. THE POSITION VECTOR
|
||
|
|
# RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
|
||
|
|
# THE EQUATIONS ARE:
|
||
|
|
#
|
||
|
|
# Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE) LEQ +- LCE/SQRT(ALFA)
|
||
|
|
# __ __
|
||
|
|
# Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
|
||
|
|
#
|
||
|
|
# Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
|
||
|
|
#
|
||
|
|
# WHERE, IF INBOUND
|
||
|
|
# NUM = RTERM -RN LEQ +- 2 LCE/ALFA
|
||
|
|
# DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
|
||
|
|
#
|
||
|
|
# AND, IF OUTBOUND
|
||
|
|
# NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
|
||
|
|
# DEN = 2 - ALFA (RTERM + RN). LEQ +- 2 LCE
|
||
|
|
#
|
||
|
|
# IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
|
||
|
|
# THEN X = ALFA Z Z
|
||
|
|
# AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
|
||
|
|
# EXCEPT IF ALFA PNZ, AND IF TFF NEG,
|
||
|
|
# THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
|
||
|
|
# OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
|
||
|
|
# THEN X = 1/ALFA Z Z
|
||
|
|
# AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
|
||
|
|
# WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
|
||
|
|
# 2 3 2
|
||
|
|
# 1/3 - X/5 + X /7 - X /8 ... (X < 1.0)
|
||
|
|
#
|
||
|
|
# CALLING SEQUENC: TIME TO RTERM TIME TO PERIGEE
|
||
|
|
# CALL CALL
|
||
|
|
# CALCTFF CALCTPER
|
||
|
|
# C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
|
||
|
|
# FOR EITHER, E:(-29) M:(-27)
|
||
|
|
# FOR EITHER, PUSHLOC = PDL+0, ARBITRARY IF LEQ 8D.
|
||
|
|
# Page 1381
|
||
|
|
#
|
||
|
|
# SUBROUTINES CALLED: T(X), VIA RTB
|
||
|
|
#
|
||
|
|
# NORMAL EXIT MODE: RVQ
|
||
|
|
# HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
|
||
|
|
# A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
|
||
|
|
# B. (THIS OPTION IS NO LONGER USED.)
|
||
|
|
# C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
|
||
|
|
# THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
|
||
|
|
#
|
||
|
|
# OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
|
||
|
|
# TFFX (0) X, LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||
|
|
# NRTERM E:(-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||
|
|
# M:(-27+NR)
|
||
|
|
# TFFTEM E:(-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||
|
|
# M:(-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
|
||
|
|
# NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
|
||
|
|
# RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
|
||
|
|
# TFFQ1 E:(-16) M:(-15) PDL 14D
|
||
|
|
# TFFDELQ E:(-16) M:(-15) PDL 10D
|
||
|
|
# PUSHLOC AT PDL+0
|
||
|
|
#
|
||
|
|
# ERASABLE INITIALIZATION REQUIRED:
|
||
|
|
# RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
|
||
|
|
# VONE' E:(+10) M:(+9) VN/SQRT(NU) LEFT BY TFF/CONIC
|
||
|
|
# RMAG1 E:(-29) M:(-27) PRESENT RADIUS, M LEFT BY TFFCONIC
|
||
|
|
# C(MPAC) E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH, M LEFT BY USER
|
||
|
|
#
|
||
|
|
# THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
|
||
|
|
# TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
|
||
|
|
# NRMAG E:(-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
|
||
|
|
# M:(-27+NR)
|
||
|
|
# X1 -NR, NORM COUNT LEFT BY TFFCONIC
|
||
|
|
# TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
|
||
|
|
# M:(-36+2N4)
|
||
|
|
# TFFALFA E:(26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
|
||
|
|
# M:(24-NR)
|
||
|
|
# TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
|
||
|
|
# M:(9+NA)
|
||
|
|
# X2 -NA, NORM COUNT LEFT BY TFFCONIC
|
||
|
|
# TFF1/ALF E:(-22-2NA) SIGNED SEMIMAJ AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
|
||
|
|
# M:(-20-2NA)
|
||
|
|
#
|
||
|
|
# DEBRIS: QPRET, PDL+0 ... PDL+3
|
||
|
|
# RTERM E:(-29) M(-27) RTERM, TERMINAL RADIUS LENGTH
|
||
|
|
# RAPO E:(-29) M(-27) PDL 16D (=NRTERM)
|
||
|
|
# RPER E:(-29) M(-27) PDL 14D (=TFFQ1)
|
||
|
|
|
||
|
|
# Page 1382
|
||
|
|
CALCTPER SETGO # ENTER WITH RPER IN MPAC
|
||
|
|
TFFSW
|
||
|
|
+3
|
||
|
|
CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
|
||
|
|
TFFSW
|
||
|
|
+3 STORE RTERM # E:(-29) M:(-27)
|
||
|
|
SL*
|
||
|
|
0,1 # X1=-NR
|
||
|
|
STORE NRTERM # RTERM E:(-29+NR) M:(-27+NR)
|
||
|
|
DMP BDSU
|
||
|
|
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
||
|
|
TFF1/4
|
||
|
|
PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
|
||
|
|
NRTERM # E:(-29+NR) M:(-27+NR)
|
||
|
|
PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
|
||
|
|
# E:(-32+NR) M:(-30+NR)
|
||
|
|
TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
|
||
|
|
0 -6,1 # X1 = -NR
|
||
|
|
DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
|
||
|
|
# RTERM(2-ALFA RTERM) FROM PDL +2
|
||
|
|
# E:(-32+NR) M:(-30+NR)
|
||
|
|
SR* # LEAVE E:(-32) M:(-30)
|
||
|
|
0,1 # X1 = -NR
|
||
|
|
BOFF DLOAD # CHECK TFF /TPER SWITCH
|
||
|
|
TFFSW
|
||
|
|
+2 # IF TFF, CONTINUE
|
||
|
|
TFFZEROS # IF TPER, SET Q2 = 0
|
||
|
|
+2 BMN SQRT # E:(-16) M:(-15)
|
||
|
|
MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
|
||
|
|
# RESET PDL, SET TFF=POSMAX, AND EXIT.
|
||
|
|
|
||
|
|
DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
|
||
|
|
TCDANZIG # ANY PORT IN A STORM.
|
||
|
|
STOVL TFFTEM # Q2 E:(-16) M:(-15)
|
||
|
|
VONE' # VN/SQRT(MU) E:(10) M:(9)
|
||
|
|
DOT SL3
|
||
|
|
RONE # SAVED RN. E:(-29) M:(-27)
|
||
|
|
STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
|
||
|
|
# E:(-16) M:(-15)
|
||
|
|
BMN BDSU
|
||
|
|
INBOUND # USE ALTERNATE Z
|
||
|
|
TFFTEM # Q2 E:(-16) M:(-15)
|
||
|
|
|
||
|
|
# OUTBOUND Z CALC CONTINUES HERE
|
||
|
|
|
||
|
|
STODL TFFX # NUM=Q2-Q1 E:(-16) M:(-15)
|
||
|
|
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
||
|
|
DMP BDSU
|
||
|
|
# Page 1383
|
||
|
|
NRMAG # RMAG E:(-29+NR) M:(-27+NR)
|
||
|
|
# (2-RTERM ALFA) (-3) FROM PDL+0
|
||
|
|
SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
|
||
|
|
# M:(-3) OR (-15)
|
||
|
|
DAD BOV # INDETERMINANCY TEST
|
||
|
|
LIM(-22) # =1.0-B(-22)
|
||
|
|
TFFXTEST # GO IF DEN >/= B(-22)
|
||
|
|
DLOAD PDDL # SET DEN=0 OTHERWISE
|
||
|
|
TFFZEROS
|
||
|
|
# XCH ZERO WITH PDL+0
|
||
|
|
DLOAD DCOMP
|
||
|
|
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
||
|
|
BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
|
||
|
|
TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
|
||
|
|
|
||
|
|
# Z INDET. AT PERIGEE FOR PARAB OR HYPERB.
|
||
|
|
DUMPTFF1 RVQ # RETURN TFF =0
|
||
|
|
|
||
|
|
# INBOUND Z CALC CONTINUES HERE
|
||
|
|
|
||
|
|
INBOUND DLOAD # RESET PDL+0
|
||
|
|
DLOAD DSU # ALTERNATE Z CALC
|
||
|
|
RTERM # E:(-29) M:(-27)
|
||
|
|
RMAG1 # E:(-29) M:(-27)
|
||
|
|
STODL TFFX # NUM=RTERM-RN E:(-29) M:(-27)
|
||
|
|
TFFTEM # Q2 E:(-16) M:(-15)
|
||
|
|
DAD GOTO
|
||
|
|
TFFQ1 # Q1 E:(-16) M:(-15)
|
||
|
|
SAVEDEN # DEN = Q2+Q1 E:(-16) M:(-15)
|
||
|
|
|
||
|
|
TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2) E:(-3) OR (-16)
|
||
|
|
# M:(-3) OR (-15)
|
||
|
|
DP(-22) # RESTORE ABS(DEN) TO MPAC
|
||
|
|
TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
|
||
|
|
DMP SR*
|
||
|
|
TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
|
||
|
|
0 -3,2 # X2=-NA
|
||
|
|
DDV # C(MPAC) =NUM SQRT(ALFA) E:(-3) OR (-16)
|
||
|
|
# M:(-3) OR (-15)
|
||
|
|
# ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
|
||
|
|
# M:(-3) OR (-15)
|
||
|
|
DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
|
||
|
|
TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
|
||
|
|
TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
|
||
|
|
|
||
|
|
# OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
|
||
|
|
|
||
|
|
DDV STADR
|
||
|
|
# DEN FROM PDL+0 E:(-3) OR (-16)
|
||
|
|
# M:(-3) OR (-15)
|
||
|
|
STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
|
||
|
|
# Page 1384
|
||
|
|
# E:(-13) M:(-12)
|
||
|
|
PUSH DSQ # Z TO PDL+0
|
||
|
|
PUSH DMP # Z SQ TO PDL+2 E:(-26) M:(-24)
|
||
|
|
TFFNP # LC P E:(-38+2NR) M:(-36+NR)
|
||
|
|
SL SIGN
|
||
|
|
5
|
||
|
|
TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
|
||
|
|
STODL TFFTEM # P ZSQ E:(-59+2NR) M:(-55+2NR)
|
||
|
|
# (ARG IS USED IN TFF/TRIG)
|
||
|
|
# ZSQ FROM PDL+2 E:(-26) M:(-24)
|
||
|
|
PUSH DMP # RESTORE PUSH LOC
|
||
|
|
TFFALFA # ALFA E:(26-NR) M:(24-NR)
|
||
|
|
SL*
|
||
|
|
0,1 # X1=-NR
|
||
|
|
STORE TFFX # X
|
||
|
|
RTB DMP
|
||
|
|
T(X) # POLY
|
||
|
|
# ZSQ FROM PDL+2 E:(-26) M:(-24)
|
||
|
|
SR2 BDSU # 2 ZSQ T(X) E:(-29) M:(-27)
|
||
|
|
RTERM # RTERM E:(-29) M:(-27)
|
||
|
|
DAD DMP
|
||
|
|
RMAG1 # E:(-29) M:(-27)
|
||
|
|
# Z FROM PDL+0 E:(-13) M:(-12)
|
||
|
|
SR3 BPL # TFF SQRT(MU) E:(-45) M:(-42)
|
||
|
|
ENDTFF # (NO PUSH UP)
|
||
|
|
PUSH SIGN # TFF SQRT(MU) TO PDL+0
|
||
|
|
TFFQ1 # Q1 FOR GONEPAST TEST
|
||
|
|
BPL DLOAD # GONE PAST ?
|
||
|
|
NEGTFF # YES. TFF < 0.
|
||
|
|
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||
|
|
DCOMP BPL # ALFA > 0 ?
|
||
|
|
NEGTFF # NO. TFF IS NEGATIVE.
|
||
|
|
|
||
|
|
# CORRECT FOR ORBITAL PERIOD.
|
||
|
|
|
||
|
|
DCOMP # YES. CORRECT FOR ORB PERIOD.
|
||
|
|
DMP DDV
|
||
|
|
PI/16 # 2 PI (-5)
|
||
|
|
TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
|
||
|
|
SL* SL*
|
||
|
|
0 -4,2 # X2=-NA
|
||
|
|
0 -4,2
|
||
|
|
SL* DAD
|
||
|
|
0,2
|
||
|
|
# TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
|
||
|
|
ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
|
||
|
|
TFF/RTMU # E:(17) M:(14)
|
||
|
|
MAXTFF # SET POSMAX IN OVFL.
|
||
|
|
|
||
|
|
DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
|
||
|
|
|
||
|
|
# Page 1385
|
||
|
|
NEGTFF DLOAD
|
||
|
|
# TFF SQRT(MU) FROM PDL+0, NEGATIVE.
|
||
|
|
GOTO
|
||
|
|
ENDTFF
|
||
|
|
|
||
|
|
MAXTFF1 DLOAD # RESET PDL
|
||
|
|
MAXTFF DLOAD RVQ
|
||
|
|
NEARONE
|
||
|
|
|
||
|
|
# TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
|
||
|
|
|
||
|
|
# NUM FROM TFFX. E:(-16) OR (-29)
|
||
|
|
# M:(-15) OR (-27)
|
||
|
|
TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
|
||
|
|
BDDV PUSH # TEMP SAVE D/N IN PDL+0
|
||
|
|
# DEN FROM PDL+0 E:(-3)/(-16) M:(-3)/(-15)
|
||
|
|
# N/D TO PDL+0 E:(11) M:(10)
|
||
|
|
TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
|
||
|
|
TFFTEM # Q2 E:(-16) M:(-15)
|
||
|
|
TFFQ1 # Q1 E:(-16) M:(-15)
|
||
|
|
STODL TFFDELQ # Q2-Q1 E:(-16) M:(-15)
|
||
|
|
# D/N FROM PDL+0
|
||
|
|
STADR
|
||
|
|
STORE TFFTEM # D/N E:(11) M:(10)
|
||
|
|
DMP SL*
|
||
|
|
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||
|
|
0,2 # 1/ALFA Z E:(-11-NA) M:(-10-NA)
|
||
|
|
PUSH DMP # TO PDL+0
|
||
|
|
TFFTEM # 1/Z E:(11) M:(10)
|
||
|
|
SL* BOVB
|
||
|
|
0,2 # X2= -NA
|
||
|
|
SIGNMPAC # IN CASE X= 1.0, CONTINUE
|
||
|
|
STORE TFFX # X=1/ALFA ZSQ
|
||
|
|
RTB DMP
|
||
|
|
T(X) # POLY
|
||
|
|
TFFX
|
||
|
|
SR3 DSU
|
||
|
|
DP2(-3)
|
||
|
|
DMP PUSH # 2(X T(X)-1) /Z ALFA E:(-15-NA)
|
||
|
|
# M:(-14-NA)
|
||
|
|
# 1/ALFA Z FROM PDL+0 E:(-11-NA)
|
||
|
|
# M:(-10-NA)
|
||
|
|
DLOAD DMP # GET SIGN FOR SDELF
|
||
|
|
TFFTEM # 1/Z E:(11) M:(10)
|
||
|
|
RMAG1 # E:(-29) M:(-27)
|
||
|
|
SL2 DAD
|
||
|
|
TFFQ1 # Q1 E:(-16) M:(-15)
|
||
|
|
STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15)
|
||
|
|
TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
|
||
|
|
DMP SL* # CALC FOR ARG FOR TFF/TRIG.
|
||
|
|
# Page 1386
|
||
|
|
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||
|
|
1,2 # X2=-NA
|
||
|
|
SIGN SL*
|
||
|
|
TFFTEM # AFFIX SIGN FOR SDELF
|
||
|
|
0,2
|
||
|
|
STODL TFFTEM # P/ALFA E:(-59+2NR) M:(-55+2NR)
|
||
|
|
# (ARG FOR USE IN TFF/TRIG)
|
||
|
|
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||
|
|
SQRT DMP
|
||
|
|
PI/16 # PI (-4)
|
||
|
|
DAD
|
||
|
|
# 2(XT(X)-1)/Z ALFA FROM PDL E:(-15-NA)
|
||
|
|
# M:(-14-NA)
|
||
|
|
SL* DSU
|
||
|
|
0 -1,2
|
||
|
|
TFFDELQ # Q2-Q1 E:(-16) M:(-15)
|
||
|
|
DMP SL*
|
||
|
|
TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
|
||
|
|
0 -3,2
|
||
|
|
SL* GOTO
|
||
|
|
0 -4,2
|
||
|
|
ENDTFF # TFF SQRT(MU) IN MPAC E:(-145) M:(-42)
|
||
|
|
|
||
|
|
# Page 1387
|
||
|
|
# PROGRAM NAME: T(X) DATE: 01.17.67
|
||
|
|
# MOD NO: 0 LOG SECTION: TIME OF FREE FALL
|
||
|
|
# MOD BY: RR BAIRNSFATHER
|
||
|
|
#
|
||
|
|
# FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
|
||
|
|
# CALCTPER TO APPROXIMATE THE SERIES
|
||
|
|
# 2 3
|
||
|
|
# 1/3 -X/5 +X /7 -X /9 ...
|
||
|
|
#
|
||
|
|
# WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
|
||
|
|
# X = 1/(ALFA Z Z) IF ALFA Z Z G 1
|
||
|
|
#
|
||
|
|
# ALSO X IS NEG FOR HYPERBOLIC ORBITS
|
||
|
|
# X = 0 FOR PARABOLIC ORBITS
|
||
|
|
# X IS POSITIVE FOR ELLIPTIC ORBITS
|
||
|
|
#
|
||
|
|
# FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
|
||
|
|
# DEVIATION FROM THE SERIES OF 2 E-5. (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
|
||
|
|
# MAC PROGRAM AUTCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1).)
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE: RTB
|
||
|
|
# T(X)
|
||
|
|
# C(MPAC) = X
|
||
|
|
#
|
||
|
|
# SUBROUTINE CALLED: NONE
|
||
|
|
#
|
||
|
|
# NORMAL EXIT MODE: TC DANZIG
|
||
|
|
#
|
||
|
|
# ALARMS: NONE
|
||
|
|
#
|
||
|
|
# OUTPUT: C(MPAC) = T(X)
|
||
|
|
#
|
||
|
|
# ERASABLE INITIALIZATION REQUIRED:
|
||
|
|
# C(MPAC) = X
|
||
|
|
#
|
||
|
|
# DEBRIS: NONE
|
||
|
|
|
||
|
|
T(X) TC POLY
|
||
|
|
DEC 4 # N-1
|
||
|
|
2DEC 3.333333333 E-1
|
||
|
|
2DEC* -1.999819135 E-1*
|
||
|
|
2DEC* 1.418148467 E-1*
|
||
|
|
2DEC* -1.01310997 E-1*
|
||
|
|
2DEC* 5.609004986 E-2*
|
||
|
|
2DEC* -1.536156925 E-2*
|
||
|
|
|
||
|
|
ENDT(X) TC DANZIG
|
||
|
|
|
||
|
|
TCDANZIG = ENDT(X)
|
||
|
|
|
||
|
|
# Page 1388
|
||
|
|
# TFF CONSTANTS
|
||
|
|
|
||
|
|
BANK 32
|
||
|
|
|
||
|
|
SETLOC TOF-FF1
|
||
|
|
BANK
|
||
|
|
|
||
|
|
# # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
|
||
|
|
#MUE = 3.990815471 E10 # M CUBE/CS SQ
|
||
|
|
#RTMUE = 1.997702549 E5 B-18* # MODIFIED EARTH MU
|
||
|
|
|
||
|
|
1/RTMU 2DEC* .5005750271 E-5 B17* # MODIFIED EARTH MU
|
||
|
|
|
||
|
|
# # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
|
||
|
|
#MUM = 4.902778 E8 # M CUBE/CS SQ
|
||
|
|
#RTMUM 2DEC* 2.21422176 E4 B-18*
|
||
|
|
PI/16 2DEC 3.141592653 B-4
|
||
|
|
LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
|
||
|
|
DP(-22) 2OCT 0000000100 # B(-22)
|
||
|
|
DP2(-3) 2DEC 1 B-3
|
||
|
|
DP2(-4) 2DEC 1 B-4 # 1/16
|
||
|
|
|
||
|
|
# RPAD1 2DEC 6373338 B-29 # M (-29) = 20909901.57 FT
|
||
|
|
RPAD1 = RPAD
|
||
|
|
|
||
|
|
R300K 2DEC 6464778 B-29 # (-29) M
|
||
|
|
NEARONE 2DEC .999999999
|
||
|
|
TFFZEROS EQUALS HI6ZEROS
|
||
|
|
TFF1/4 EQUALS HIDP1/4
|
||
|
|
|
||
|
|
|
||
|
|
|