319 lines
7.1 KiB
Plaintext
319 lines
7.1 KiB
Plaintext
|
# Copyright: Public domain.
|
||
|
|
# Filename: LATITUDE_LONGITUDE_SUBROUTINES.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: 1236-1242
|
||
|
|
# Mod history: 2009-05-14 RSB Adapted 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 1236
|
||
|
|
# SUBROUTINE TO CONVERT RAD VECTOR AT GIVEN TIME TO LAT,LONG AND ALT
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE
|
||
|
|
# L-1 CALL
|
||
|
|
# L LAT-LONG
|
||
|
|
#
|
||
|
|
# SUBROUTINES USED
|
||
|
|
# R-TO-RP, ARCTAN, SETGAMMA, SETRE
|
||
|
|
#
|
||
|
|
# ERASABLE INIT. REQ.
|
||
|
|
# AXO, -AYO, AZO, TEPHEM (SET AT LAUNCH TIME)
|
||
|
|
# ALPHAV = POSITION VECTOR METERS B-29
|
||
|
|
# MPAC -- TIME (CSECS B-28)
|
||
|
|
# ERADFLAG =1, TO COMPUTE EARTH RADIUS, =0 FOR FIXED EARTH RADIUS
|
||
|
|
# LUNAFLAG=0 FOR EARTH, 1 FOR MOON
|
||
|
|
#
|
||
|
|
# OUTPUT
|
||
|
|
# LATITUDE IN LAT (REVS. B-0)
|
||
|
|
# LONGITUDE IN LONG (REVS. B-0)
|
||
|
|
# ALTITUDE IN ALT METERS B-29
|
||
|
|
|
||
|
|
BANK 30
|
||
|
|
SETLOC LATLONG
|
||
|
|
BANK
|
||
|
|
|
||
|
|
COUNT 13/LT-LG
|
||
|
|
|
||
|
|
EBANK= ALPHAV
|
||
|
|
LAT-LONG STQ SETPD
|
||
|
|
INCORPEX
|
||
|
|
0D
|
||
|
|
STOVL 6D # SAVE TIME IN 6-7D FOR R-TO-RP
|
||
|
|
ALPHAV
|
||
|
|
PUSH ABVAL # 0-5D= R FOR R-TO-RP
|
||
|
|
STODL ALPHAM # ABS. VALUE OF R FOR ALT FORMULA BELOW
|
||
|
|
ZEROVEC # SET MPAC=0 FOR EARTH, NON-ZERO FOR MOON
|
||
|
|
BOFF COS # USE COS(0) TO GET NON-ZERO IN MPAC
|
||
|
|
LUNAFLAG # 0=EARTH, 1=MOON
|
||
|
|
CALLRTRP
|
||
|
|
CALLRTRP CALL
|
||
|
|
R-TO-RP # RP VECTOR CONVERTED FROM R B-29
|
||
|
|
UNIT # UNIT RP B-1
|
||
|
|
STCALL ALPHAV # U2= 1/2 SINL FOR SETRE SUBR BELOW
|
||
|
|
SETGAMMA # SET GAMMA=B2/A2 FOR EARTH, =1 FOR MOON
|
||
|
|
CALL # SCALED B-1.
|
||
|
|
SETRE # CALC RE METERS B-29
|
||
|
|
DLOAD DSQ
|
||
|
|
ALPHAV
|
||
|
|
PDDL DSQ
|
||
|
|
ALPHAV +2
|
||
|
|
# Page 1237
|
||
|
|
DAD SQRT
|
||
|
|
DMP SL1R
|
||
|
|
GAMRP
|
||
|
|
STODL COSTH # COS(LAT) B-1
|
||
|
|
ALPHAV +4
|
||
|
|
STCALL SINTH # SIN(LAT) B-1
|
||
|
|
ARCTAN
|
||
|
|
STODL LAT # LAT B0
|
||
|
|
ALPHAV
|
||
|
|
STODL COSTH # COS(LONG) B-1
|
||
|
|
ALPHAV +2
|
||
|
|
STCALL SINTH # SIN(LONG) B-1
|
||
|
|
ARCTAN
|
||
|
|
STODL LONG # LONG. REVS B-0 IN RANGE -1/2 TO 1/2
|
||
|
|
ALPHAM
|
||
|
|
DSU # ALT= R-RE METERS B-29
|
||
|
|
ERADM
|
||
|
|
STCALL ALT # EXIT WITH ALT METERS B-29
|
||
|
|
INCORPEX
|
||
|
|
# Page 1238
|
||
|
|
# SUBROUTINE TO CONVERT LAT,LONG.ALT AT GIVEN TIME TO RADIUS VECTOR
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE
|
||
|
|
# L-1 CALL
|
||
|
|
# L LALOTORV
|
||
|
|
#
|
||
|
|
# SUBROUTINES USED
|
||
|
|
# SETGAMMA, SETRE, RP-TO-R
|
||
|
|
#
|
||
|
|
# ERASABLE INIT. REQ.
|
||
|
|
# AXO, AYO, AZO, TEPHEM SET AT LAUNCH TIME
|
||
|
|
# LAT -- LATITUDE (REVS B0)
|
||
|
|
# LONG -- LONGITUDE (REVS B0)
|
||
|
|
# ALT -- ALTITUDE (METERS) B-29
|
||
|
|
# MPAC -- TIME (CSECS B-28)
|
||
|
|
# ERADFLAG =1 TO COMPUTE EARTH RADIUS, =0 FOR FIXED EARTH RADIUS
|
||
|
|
# LUNAFLAG=0 FOR EARTH, 1 FOR MOON
|
||
|
|
#
|
||
|
|
# OUTPUT
|
||
|
|
# R-VECTOR IN ALPHAV (METERS B-29)
|
||
|
|
|
||
|
|
LALOTORV STQ SETPD # LAT,LONG,ALT TO R VECTOR
|
||
|
|
INCORPEX
|
||
|
|
0D
|
||
|
|
STCALL 6D # 6-7D = TIME FOR RP-TO-R
|
||
|
|
SETGAMMA # GAMMA = B2/A2 FOR EARTH, 1 FOR MOON B-1
|
||
|
|
DLOAD SIN # COS(LONG)COS(LAT) IN MPAC
|
||
|
|
LAT # UNIT RP = SIN(LONG)COS(LAT) 2-3D
|
||
|
|
DMPR PDDL # PD 2 GAMMA*SIN(LAT) 0-1D
|
||
|
|
GAMRP
|
||
|
|
LAT # 0-1D = GAMMA*SIN(LAT) B-2
|
||
|
|
COS PDDL # PD4 2-3D= COS(LAT) B-1 TEMPORARILY
|
||
|
|
LONG
|
||
|
|
SIN DMPR # PD 2
|
||
|
|
PDDL COS # PD 4 2-3D= SIN(LONG)COS(LAT) B-2
|
||
|
|
LAT
|
||
|
|
PDDL COS # PD 6 4-5D= COS(LAT) B-1 TEMPORARILY
|
||
|
|
LONG
|
||
|
|
DMPR VDEF # PD4 MPAC = COS(LONG)COS(LAT) B-2
|
||
|
|
UNIT PUSH # 0-5D = UNIT RP FOR RP-TO-R SUBR.
|
||
|
|
STCALL ALPHAV # ALPHAV +4= SINL FOR SETRE SUBR.
|
||
|
|
SETRE # RE METERS B-29
|
||
|
|
DLOAD BOFF # SET MPAC = 0 FOR EARTH, NON-ZERO FOR MOON
|
||
|
|
ZEROVEC
|
||
|
|
LUNAFLAG
|
||
|
|
CALLRPRT
|
||
|
|
COS # USE COS(0) TO GET NON-ZERO IN MPAC
|
||
|
|
CALLRPRT CALL
|
||
|
|
RP-TO-R # EXIT WITH UNIT R VECTOR IN MPAC
|
||
|
|
STODL ALPHAV
|
||
|
|
ERADM
|
||
|
|
# Page 1239
|
||
|
|
DAD VXSC # (RE + ALT)(UNIT R) METERS B-30
|
||
|
|
ALT
|
||
|
|
ALPHAV
|
||
|
|
VSL1 # R METERS B-29
|
||
|
|
STCALL ALPHAV # EXIT WITH R IN METERS B-29
|
||
|
|
INCORPEX
|
||
|
|
|
||
|
|
# SUBROUTINE TO COMPUTE EARTH RADIUS
|
||
|
|
#
|
||
|
|
# INPUT
|
||
|
|
# 1/2 SIN LAT IN ALPHAV +4
|
||
|
|
#
|
||
|
|
# OUTPUT
|
||
|
|
# EARTH RADIUS IN ERADM AND MPAC (METERS B-29)
|
||
|
|
|
||
|
|
GETERAD DLOAD DSQ
|
||
|
|
ALPHAV +4 # SIN**2(L)
|
||
|
|
SL1 BDSU
|
||
|
|
DP1/2 # COS**2(L)
|
||
|
|
DMPR BDSU
|
||
|
|
EE
|
||
|
|
DP1/2
|
||
|
|
BDDV SQRT
|
||
|
|
B2XSC
|
||
|
|
SR4R
|
||
|
|
STORE ERADM
|
||
|
|
RVQ
|
||
|
|
|
||
|
|
# THE FOLLOWING CONSTANTS WERE COMPUTED WITH A=6378166, B=6356784 METERS
|
||
|
|
# B2XSC = B**2 SCALED B-51
|
||
|
|
# B2/A2 = B**2/A**2 SCALED B-1
|
||
|
|
# EE = (1-B**2/A**2) SCALED B-0
|
||
|
|
|
||
|
|
B2XSC 2DEC .0179450689 # B**2 SCALED B-51
|
||
|
|
|
||
|
|
DP1/2 = XUNIT
|
||
|
|
B2/A2 2DEC .9933064884 B-1 # GAMMA= B**2/A**2 B-1
|
||
|
|
|
||
|
|
EE 2DEC 6.6935116 E-3 # (1-B**2/A**2) B-0
|
||
|
|
|
||
|
|
ERAD 2DEC 6373338 B-29 # PAD RADIUS
|
||
|
|
|
||
|
|
# Page 1240
|
||
|
|
# ARCTAN SUBROUTINE
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE
|
||
|
|
# SIN THETA IN SINTH B-1
|
||
|
|
# COS THETA IN COSTH B-1
|
||
|
|
# CALL ARCTAN
|
||
|
|
#
|
||
|
|
# OUTPUT
|
||
|
|
# ARCTAN THETA IN MPAC AND THETA B-0 IN RANGE -1/2 TO +1/2
|
||
|
|
|
||
|
|
ARCTAN BOV
|
||
|
|
CLROVFLW
|
||
|
|
CLROVFLW DLOAD DSQ
|
||
|
|
SINTH
|
||
|
|
PDDL DSQ
|
||
|
|
COSTH
|
||
|
|
DAD
|
||
|
|
BZE SQRT
|
||
|
|
ARCTANXX # ATAN=0/0. SET THETA=0
|
||
|
|
BDDV BOV
|
||
|
|
SINTH
|
||
|
|
ATAN=90
|
||
|
|
SR1 ASIN
|
||
|
|
STORE THETA
|
||
|
|
PDDL BMN
|
||
|
|
COSTH
|
||
|
|
NEGCOS
|
||
|
|
DLOAD RVQ
|
||
|
|
NEGCOS DLOAD DCOMP
|
||
|
|
BPL DAD
|
||
|
|
NEGOUT
|
||
|
|
DP1/2
|
||
|
|
ARCTANXX STORE THETA
|
||
|
|
RVQ
|
||
|
|
|
||
|
|
NEGOUT DSU GOTO
|
||
|
|
DP1/2
|
||
|
|
ARCTANXX
|
||
|
|
ATAN=90 DLOAD SIGN
|
||
|
|
LODP1/4
|
||
|
|
SINTH
|
||
|
|
STORE THETA
|
||
|
|
RVQ
|
||
|
|
|
||
|
|
2DZERO = DPZERO
|
||
|
|
|
||
|
|
# Page 1241
|
||
|
|
# ***** SETGAMMA SUBROUTINE *****
|
||
|
|
# SUBROUTINE TO SET GAMMA FOR THE LAT-LONG AND LALOTORV SUBROUTINES
|
||
|
|
#
|
||
|
|
# GAMMA = B**2/A**2 FOR EARTH (B-1)
|
||
|
|
# GAMMA = 1 FOR MOON (B-1)
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE
|
||
|
|
# L CALL
|
||
|
|
# L+1 SETGAMMA
|
||
|
|
#
|
||
|
|
# INPUT
|
||
|
|
# LUNAFLAG=0 FOR EARTH, =1 FOR MOON
|
||
|
|
#
|
||
|
|
# OUTPUT
|
||
|
|
# GAMMA IN GAMRP (B-1)
|
||
|
|
|
||
|
|
SETGAMMA DLOAD BOFF # BRANCH FOR EARTH
|
||
|
|
B2/A2 # EARTH GAMMA
|
||
|
|
LUNAFLAG
|
||
|
|
SETGMEX
|
||
|
|
SLOAD
|
||
|
|
1B1 # MOON GAMMA
|
||
|
|
SETGMEX STORE GAMRP
|
||
|
|
RVQ
|
||
|
|
GAMRP = 8D
|
||
|
|
|
||
|
|
# Page 1242
|
||
|
|
# ***** SETRE SUBROUTINE *****
|
||
|
|
# SUBROUTINE TO SET RE (EARTH OR MOON RADIUS)
|
||
|
|
#
|
||
|
|
# RE = RM FOR MOON
|
||
|
|
# RE = RREF FOR FIXED EARTH RADIUS OR COMPUTED RF FOR FISCHER ELLIPSOID
|
||
|
|
#
|
||
|
|
# CALLING SEQUENCE
|
||
|
|
# L CALL
|
||
|
|
# L+1 SETRE
|
||
|
|
#
|
||
|
|
# SUBROUTINES USED
|
||
|
|
# CETERAD
|
||
|
|
#
|
||
|
|
# INPUT
|
||
|
|
# ERADFLAG = 0 FOR FIXED RE, 1 FOR COMPUTED RE
|
||
|
|
# ALPHAV +4 = 1/2 SINL IF GETERAD IS CALLED
|
||
|
|
# LUNAFLAG = 0 FOR EARTH, =1 FOR MOON
|
||
|
|
#
|
||
|
|
# OUTPUT
|
||
|
|
# ERADM = 504RM FOR MOON (METERS B-29)
|
||
|
|
# ERADM = ERAD OR COMPUTED RE FOR EARTH (METERS B-29)
|
||
|
|
|
||
|
|
SETRE STQ DLOAD
|
||
|
|
SETREX
|
||
|
|
504RM
|
||
|
|
BON DLOAD # BRANCH FOR MOON
|
||
|
|
LUNAFLAG
|
||
|
|
TSTRLSRM
|
||
|
|
ERAD
|
||
|
|
BOFF CALL # ERADFLAG=0 FOR FIXED RE, 1 FOR COMPUTED
|
||
|
|
ERADFLAG
|
||
|
|
SETRXX
|
||
|
|
GETERAD
|
||
|
|
SETRXX STCALL ERADM # EXIT WITH RE OR RM METERS B-29
|
||
|
|
SETREX
|
||
|
|
TSTRLSRM BON VLOAD # ERADFLAG=0, SET R0=RLS
|
||
|
|
ERADFLAG # =1 R0=RM
|
||
|
|
SETRXX
|
||
|
|
RLS
|
||
|
|
ABVAL SR2R # SCALE FROM B-27 TO B-29
|
||
|
|
GOTO
|
||
|
|
SETRXX
|
||
|
|
SETREX = S2
|
||
|
|
504RM 2DEC 1738090 B-29 # METERS B-29 (MOON RADIUS)
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|