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STI CENTER -GS;53o45/100 NASA JOHNSON SF_,,V,'.'_F O!_-i,i'[E=i 210i NS_£;! _,F :,_,.0 :.-,:.E HOUSTON, TX 77058_3696 75-A/7_, 4_' ? NASA In Connectionto Aerospace A Service of: NationalAeronautics and Space Administration U SCIENTIFIC & TECE/NI CAL INEOR.MATION

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Page 1: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

STI CENTER -GS;53o45/100NASA JOHNSON SF_,,V,'.'_FO!_-i,i'[E=i

210i NS_£;!_,F :,_,.0:.- ,:.EHOUSTON, TX 77058_3696

75-A/7_, 4_'?

NASAIn

Connectionto Aerospace

A Service of:

NationalAeronautics andSpace Administration

USCIENTIFIC &

TECE/NI CAL INEOR.MATION

Page 2: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

IQISC_PA-R-OS- /

Sul)i)lement 2

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION

APOLLO .5 MISSION REPORT

i

APOLLO MISSION 5/AS-204/LM-1 TRAJECTORYi RECONSTRUCTION AND POSTFLIGHT ANALYSIS

VOLUME I

.

(NES&-TM-X-721105) APOLLO .5 tlirSSION REPORT° 1t75-72089SUPPLEMENT 2: APOLLO MISSION 51As_ao_irn_IrHAJECTOR_ RECONSTRUCTION AND POSTFLIGI/T

ANALYSIS, VOLUME i (_ASA) 187 p Uncles

!iii!iii !!!ii .............: :-:.:.:.:.:.: /<7,. _:_• • iIlllllllll • - _ ,

• -.'.'.'.'.', i__ _.'>i__..">" ' -',I

:,::: :-:: _

" i:i'i::i;' DISTRIBUTION AND REFERENCING• el• • •

• This poper Is not luitable'for generoI distribulion or referencing. It moy he referenced

• only in other working cotrelpondence and documents by pe,ticipoting organizations.i Q•

._.;_,,4if _ MANNED SPACECRAFT CENTER._._ HOUSTON, TEXAS-: May 1968

• ° ° . • ° • •

• ..... • °

...... ° ,

Page 3: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

MSC-PA-R-68-7

Supplement 2

APOLLO 5 MISSION REPORT

Supplement 2

APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY

RECONStrUCTION AND POSTFLIGHT ANALYSIS

VOLUME I

May 13, 1968

Prepared by: TRW Systems Group

Approvedby: __L_ow _ __--t_George M.

Manager

Apollo Spacecraft Program

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION

MANNED SPACECRAFT CENTER

HOUSTON, TEXAS

Page 4: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

05952-H484-R0-00

I"RWNOTE NO. 68-FMT-642

PROJECT APOLLO

TASK MSC/TRW A-50

iii i" i

APOLLO MISSION 5/AS-204/LM-1 TRAJECTORYRECONSTRUCTION AND POSTFLIGHT ANALYSIS -

APPENDIXESi n i i [ i i

VOLUME I

22 APRIL 1968

PreparedbyGuidance and Control Department

W. P. GirodT. A. PhythianG. L. Roland

SystemsEvaluation DepartmentJ. M. AlfredE. L. BarnettD. H. CooperJ. B. Moore

PreparedforMISSION PLANNING AND ANALYSIS DIVISION

NATIONAL AERONAUTICS AND SPACEADMINISTRATIONMANNED SPACECRAFTCENTER

HOUSTON, TEXAS

Page 5: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

FOREWORD

This report is submitted to the NASA Manned Spacecraft Center in

accordance with Task: MSC/TRW A-50.3 Contract NAS 9-4810. This

report contains the postflight analysis performed in conjunction with the

flight of Apollo Mission 5/AS-204/LM-t, and is issued as a supplement to

Section 3, Trajectory Section, of the Apollo Program Mission Report.

The report is issued in two volumes. Volume I contains details of

the analysis and results obtained, including appendices. Volume II con-

tains a listing of the "45 Day" Best Estimated Trajectory (BET) for the

LM-t mission from S-IVB separation to the occurrence of the gimbal lock

condition in the PRA-V burn sequence. This listing is in the NASA Apollo

Trajectory (NAT) format which is shown below. The listing is not gener-

ally distributed, but is available from NASA/MSC upon request. Requests

should be made to:

NASA/MSC Computations Analysis DivisionCentral Metric Data File

Code ED-5, Bldg. t2, Room 133Houston, Texas 77058

The listing is in three parts which are identified by time span covered and

the corresponding accession number.

Time Span (GET) Accession No.

Part I 00:53:54- 04:06:21 05- 07334

Part II 04:06:00 - 06:17:56 05 - 07335

Part IH 06:13:40 - 07:47:32 05 - 07336

iii

Page 6: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

NASA APOLLO TmAJKTOI_Y INOI!x

_qTR GmTC GnT¢ G|TS GIR _TC_C_19$ $ECONO_ l_'ItlRS $ECONO$ SFCONDS _m MIN SEC

_CENTRIC G_nET|C _E_nETIC G_O_TIC INFmT_&L TNERTTAL I_RTIJLLAT|TqI_E LATtTI_nE LON_[TI_n_ ALT|T_nE VELOCITY PATH ANGLE HEIOI_G

_RBIT R_D[U$ _EOCE_IC nELATIVE R_LATIYE R_LATIV_

L_ _CLtN_TION R_l_r_ O_|VATIVE ALTITUDF V_L_CITY PATH ANGLE _EADING_E_S F_T F_T/SEC FEET _ET/SEC _£GREES O£GR£[_

2_ X ECI v _C| Z _CI _n_T _C| VnnT _! _I'_T _C| G SIl__T _F_ _F_T ¢_F115_C _T/$_C _F_T/SEC F_ET/SE_ o_

_ _ F_I_ Y EC?G Z _Ct_ _OT _1_ V_0T EC|G _O_T FCIG C $1J_ YF_T FEFT F_T _F_PS_C _F_T/S_ FF_T/S_C FF_T/S[C _*_

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?_ AXIS AXIS FCC_NTRt_ITY _CLINAII_ _O_E° AT_$ P_RIGFE _N_AL_

_ P_RI_ SAT** _R_W_H _lT,e ARI_$ |_LI_I _, _RN'dCH AN_NALY ANOMALv

_MT°LITttS SP_F_ _ N&CH _YNAMIC _V_K_LnS T_TAL

_lPl TC_AL _DV_NtC AFRn_YNA_|C AFP_DYN_IC

t0_ _f_T PIPA YD_T PIP& ZOOT PIPA V[LOC|TY VELOCITY PATH ANGLE HFA_!_

X_T E_F V I_T F_ 70CIT ESF WIkP W|_

iV

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CONTENTS

Page

3. APOLLO MISSION 5/AS-Z04/LM-I TRAJECTORYRECONSTRUCTION AND POSTFLIGHT ANALYSIS ....... 3-i

3. i Introduction and Summary .................... 3-I

3. i. I Sequence of Events .................... 3-i

3. i.2 Analysis and Programs ................. 3-I

3.2 Ascent Analysis .......................... 3-7

3. 3 Orbit Analysis ........................... 3-Z4

3.3. I Lunar Module Orbital Reconstruction ....... 3-36

3.3. 2 RTCC Trajectory Comparison ............ 3-38

APPENDIXES

A TRACKER I_.SIDUAI_ PLOTS ................. A-I

B SUPPLEMENTAI_Y DATA .................... B-i

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ILLUST RATIONS

Page

3-1 AS-Z04 Mission Timeline and Tracking Periods ........ 3-3

3-2 Uncompensated G&N Minus S-IVB (Boost) - Delta XVelocity ................................. 3-10

3-3 Uncompensated G&N Minus S-IVB (Boost) - Delta YVelocity ................................. 3- 11

3-4 Uncompensated G&N Minus S-IVB (Boost) - Delta ZVelocity ................................. 3 -1Z

3-5 Uncompensated G&N Minus S-IVB (Boost) - Delta XPosition ................................ 3- 13

3-6 Uncompensated G&N Minus S-IVB (Boost) - Delta YPosition ................................ 3- 14

3-7 Uncompensated G&N Minus S-IVB (Boost) - Delta ZPosition ................................ 3-15

3-8 Compensated G&N Minus S-IVB (Boost) - Delta XVelocity ................................. 3 -16

3-9 Compensated C;&N Minus S-IVB (Boost) - Delta YVelocity ................................. 3-17

3-10 Compensated G&N Minus S-IVB(Boost) - Delta ZVelocity .................................. 3-i8

3-1! Compensated G&N Minus S-IVB(Boost) - Delta XPosition .................................. 3- t9

3-1Z Compensated(JAN Minus S-IVB(Boost) - Delta YPosition .................................. 3 -20

3-13 Compensated G&N Minus S-IVB(Boost) - Delta ZPosition .................................. 3 -21

vii

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TA BLES

Page

3-1 Summary of Events ........................... 3-Z

3-2 IMU Performance Parameters .................... 3-9

3-3 State Vector Comparison - Compensated LM G&N MinusBET (t = 600. 0 seconds) ........................ 3-Z2

3-4 Timeline of Launch Events ...................... 3-23

3-5 LM Orbital Fit Summary ....................... 3-Z6

3-6 Residual Mean and RMS by Station and Data Type forSegments 1-5 ............................... 3-29

3-7 State Vector Summary ......................... 3-34

3-8 Maneuver Summary ........................... 3-37

3-9 Position and Velocity Comparison - LM-I G&N versusBET/PRA HI ............................... 3-38

3-10 RTCC Summary of Radar Data for AS-Z04/LM-I ........ 3-39

3-Ii RTCC Comparison Summary ..................... 3-44

3-12 RTCC Comparison Summary for Special Vectors ........ 3-45

B-I Radar Data Su_cnrn,_ry .......................... B-2

B-Z C-band Station Locations ........................ B-4

B-3 USBS Station Locations ......................... ]3-6

B-4 Drag Summary .............................. B-7

13-5 Radar Data Weighting .......................... B-7

ix

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3. APOLLO MISSION 5/AS-Z04/LM-I TRAJECTORY RECONSTRUCTIONAND POSTFLIGHT ANALYSIS

3. I INTRODUCTION AND SUMMARY

3. i. I Sequence of Events

The Apollo 5 mission was launched from launch complex 37 B at

Cape Kennedy, Florida, on 22 January 1968. Range zero was established

at Z2 hours, 48 minutes, and 8 seconds Greenwich mean time (GMT), with

lift-off securing 0.4 second later. Lunar module/Saturn IVB (LM/S-IVB)

insertion occurred at 10 minutes and 3.3 seconds ground elapsed time

(GET) with subsequent LM/S-IVB separation at 53 minutes and 56 seconds

GET.

After two and a half revolutions, the first descent engine burn was

initiated by the guidance computer. This burn was performed at less than

full tank pressures; consequently, the thrust buildup was not adequate, and

the engine was shutdown by the computer 4 seconds after ignition.

The premature cutoff of this burn required deviations from the

planned mission. A:modified alternate mission was used which combined

mission program sequences HI and V. Mission program sequence III was

comprised of two descent engine burns and two ascent engine burns.

However, the second ascent engine burn in sequence HI was inhibited by

ground command. Mission program sequence V was comprised of an

ascent engine burn that continued until all the fuel aboard was depleted.

Table 3-1 lists the times associated with events pertinent to this trajectory

analysis. A complete mission description may be obtained from the

Apollo 5 Mission Re_rt. Figure 3-1 presents the AS-204 mission time-

lines and tracking l_riods.

3. 1. 2 Analysis and Programs

This section describes the programs that are used in the postflight

trajectory analysis. The programs used to reconstruct the orbital phase

of a mission and associated programs are discussed first, followed by

description of the programs used in the analysis of the guidance system

and the reconstruction of the spacecraft trajectory during thrusting

periods.

3-1

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•_.

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Page 12: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

-11 i

"tI! ilL

3 I 2

22 2_4808 22"23:4808 23:0(9:48:08 23014808I I I I 1 I

Page 13: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

qw---- DPS ; ULLAGE OJ_

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f

II _DOS I _NGINF CCITOFF ......

II

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23:0; 48:08 23:03:48:08 2304I I I 1

C_REENWICH MEAN TIMt [DAY:']R MIN:S[CI

Page 14: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

I , I_ I' I I

APS ENGINE CUTOFF _I--APS FUEL 0EPLETIOI

i

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--I--

8

48:08 23:05.48:08 23:06:48:08l I I I

Figure 3-I. AS-204 Mission Tim,

line and TrackingPeriods

3-3

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Orbit Reconstruction Programs

Low-speed tracking data for a mission are received from MSC on a

magnetic tape. The data tape is input into the Master Tape Generator

(MATAG) Program which reformats the data into a format that is compat-

ible with the TRW orbit determination program (ESPOD) and generates a

time-ordered master data tape. The master data tape is then input into

the ESPOD Data Generator (EDG) Program which edits the master data

tape and outputs the delta in the form of tape or cards.

The ESPOD Program determines the state vector for a spacecraft

at a given epoch and the covariance matrix of uncertainties. This is

accomplished by an iterative process which minimizes the weighted sum

of the squares of the residuals, where the residuals are the difference

between the actual ob_Jervations and the computed observations based

upon a current estimate of the spacecraft trajectory. ESPOD also has

the capability of including in the solution vector such parameters as drag

(CdA/ZM), radar errors, and station location errors.

There exist two versions of ESPOD, both of which have the general

capability described above. The USB ESPOD is distinguished by the fact

that it can process RAER, RxY, and doppler radar tracking data. It does

not, however, have the capability of modeling burns. The IGS ESPOD, in

contrast, can only process RAER radar tracking data even though it does

have two burn models, the LOP burn model and the IGS burn model. The

LOP burn model uses an analytic thrust acceleration model - constant

thrust oriented along the roll axis. Thrust/mass ratio, and orientation of

roll axis are _ome of the parameters that can be included in the solution

vector. The IGS burn model uses an acceleration burn tape based on

telemetered data which is then input into ESPOD. Accelerometer and

gyro errors may be modeled or included in the solution vector.

After a best estimate of the trajectory (BET) is obtained in ESPOD,

a trajectory tape is generated and input into the RTCC Comparison

Program. This program compares the RTCC trajectory and the BET by

means of state vecto:c differences exhibited in various coordinate systems.

The total difference in position and velocity is also listed.

3-5

Page 16: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

Guidance and Navigation Programs

The spacecraft trajectory during thrusting periods after S-IVB

separation is reconstructed from inertial measurement data telemetered

from the guidance and navigation system. Before an accurate recon-

struction can be undertaken, it is necessary to determine the systematic

errors present in the guidance system hardware so that appropriate

corrections to the IMU data can be made. This procedure for trajectory

reconstruction may be divided into three general areas.

Data Processing

The three sources of trajectory data used in Apollo IMU evaluation

must be formated so that they are compatible with the trajectory com-

puting programs.

a) The G&N Processor Program is used to edit Apollo

downlink telemetry data and produce a regular

ephemeris of measured position, velocity, andacceleration.

b) The S-IVB Processor Program is used to inter-

polate the S-IVB IU trajectory to the AGC/LGCtime base and rotate the data into appropriatecoordinate frames.

c) The General Data Processor Program is used to

smooth, interpolate, and rotate high-speed

tracking data (GLOTRAC, C-band) to an appro-

priate time base and coordinate frame.

IMU Evaluation

Determination of the systematic errors present in the Apollo guidance

system is based primarily on comparisons of the trajectory (sensed and

total) as measured by the AGC/LGC, with S-IVB and GLOTRAC trajec-

tories. The boost phase of any mission is the most important for this

analysis because of the relatively long lime duration with high acceleration

levels. The two principal tools used in IMU error analysis are discussed

in the following paragraphs.

3-6

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a) The Error Analysis Program (EAP) is used to

compute the partial derivatives of sensed

position, velocity, and acceleration

(_Ps/bEk, bVs/_Ek, bAs/_Ek)with respect

to each of the error terms, Ek, in the ApolloIMU error model. The input which drives

the EAP is the edited ephemeris of sensedacceleration obtained from the G&N Processor

Program.

b) The Velocity Comparison Program {VELCOMP)

corrects the Apollo sensed trajectory profile

using the EAP partials and the best estimates

of the IMU errors, E k. It then compares thecorrected trajectory (in both sensed and total

coordinates) with external reference trajectorydata (S-IVB and GLOTRAC). The recoveredset of IMU errors must, of course, be com-

patible with the preflight test history of the

onboard guidance system and with the known

trajectory constraints during later phases ofthe mission.

Trajectory Reconstruction

During thrusting periods for which limited external trajectory data

are available, a different technique for trajectory reconstruction is

employed. This method relies on two external inputs: {l) the set of IMU

hardware errors determined from ascent analysis and (2) an accurate

state vector,. {Po' Vo)' from the ESPOD program to initialize the total

trajectory. The Trajectory Reconstruction Program is driven with the

outputs of the G&N Processor and EAP Programs. At time, t i, the total

corrected velocity is computed from:

= +V -K_ sl Ek +VTi Vo si _Ek VGi

This quantity is integrated to obtain total position, PTi' which is extra-

polated to time, ti+l, for the next computation of velocity due to gravity,

(VGi+ 1)"

3. 2 ASCENT ANALYSIS

Analysis of IMU errors consists of determining the physically

acceptable set of errors which bring the LM G&N trajectory into agree-

3-7

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ment with the best estimate of the actual trajectory flown. This "best

estimate" is referred to as the Best Estimate Trajectory (BET). During

the boost phase there were eight trajectories available from which to

chose a standard of comparison, or BET. These eight trajectories were

classed into two independent groups. Five of the trajectories were gen-

erated by MSFC from the S-IVB Instrument Unit (IU) telemetry data. They

represent a five -stage evolution in the processing of that data, from the

raw (quick look) IU output through a final S-IVB BET designated the "Final

S-IVB Observed Mass Point Trajectory (OMPT)". The three remaining

trajectories represent a similar evolution in the processing of GLOTRAC

radar data. The final OMPT and final GLOTRAC trajectories agreed

closely throughout most of the burn. However, the GLOTRAC data BET

became erratic near the endpoints of the burn, and the final trajectory

generated from itwas truncated to exclude data prior to 24 seconds and

subsequent to 552 seconds. Therefore, in order to have a continuous

trajectory available for comparisons with the LM G&N data, and since the

S-IVB data agreed so well with the external source (GLOTRAC), the S-IVB

final OMPT was chosen as the boost phase BET.

The error magnitudes associated with each IMU error model para-

meter were derived from comparisons of the LM G&N trajectory and the

BET. These errors are presented in Table 3-2- together with their pre-

flight estimates and uncertainties. In this table, the great majority of

the derived error magnitudes lie within their associated uncertainty band.

In general, errors satisfying that constraint will not be discussed further

except to reiterate that they were selected because the state vector errors

they produce coincide with observed residuals.

The IMU error set given in Table 3-2 was used to construct a com-

pensated LM G&N trajectory. Plots of the trajectory comparisons are

presented in this section to demonstrate the residuals in velocity and

position which were obtained before and after compensation of the LM

G&N trajectory. Figures 3-2 through 3-7 present the velocity and position

residuals, respectively, which existed between the uncompensated G&N

and BET trajectories. Figures 3-8 through 3-13 present the residuals

remaining after the LM G&N trajectory had been compensated for errors.

3-8

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3-10

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iiiii_i

3-11

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3-12.

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3-13

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3-14

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3-15

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3-16

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3-17

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3-18

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_-t9

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3-20

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3-21

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Table 3-3 presented below summarizes these comparisons at 600 seconds

(approximately 9 seconds after S-IVB cut-off). '_V"denotes velocity in

feet per second. "P" denotes position in feet. The vectors were compared

in the LM G&N coordinate system.

Table 3-3. State Vector Comparison - CompensatedLM G&N Minus BET, It = 600. 0 seconds)

Uncompensated Compensated

VX (G&N)-VX (BET) 131. Z13 -0. 044

VY (G&N)-VY (BET) -260.148 -0.002

VZ (G&N)-VZ (BET) 257. 367 0. 035

PX (G&N)-PX (BET) 34, 954. 651 -8. 390

PY (G&N)-PY (BET) -64, 879. 780 i6. 6t3

PZ (G&N)-PZ (BET) 63,469. 562 -85. 887

The uncompensated residuals were between one and two orders of

magnitude greater in all axes than those experienced on preceding Apollo

flights. This was true for two reasons. First, the LM IMU was skewed

with respect to the traditional "launch inertial" orientation so that both

the "X" and the "Y" axes were out of the horizontal plane and no axis was

oriented directly crossrange. One effect of this orientation was to make

the "X" and "Y" IMU axes susceptible to substantial correlated misalign-

merits arising from gyro drift errors. Assuming that each drift error

varied randomly from the launch load, it can be seen that an extremely

complicated pattern of super-imposed initial IMU misalignments could

and did arise prior to lift-off. Secondly, one of the IMU error sources

(ADIAX) was deliberately biased to an extreme value via the LGC com-

pensation load, thereby producing "built-in" error. This resulted in an

artificially large ADIAX error, which in turn generated enormous IMU

3 -2Z

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misalignments (-3377 arc-seconds in "X" and -1951 arc-seconds in "Y")

in addition to those resulting from the other terms.

All events in this section are related to the time base which defines

time zero (t = 0. 0) as the "instant" at which LM guidance reference

release {GRR) occurred. The following table of launch events {Table 3-4)

is included as a guide to the time relationships existing between LM GRR

and other events of significance in the launch process. The times of these

events are given in the Greenwich mean time (GMT) base.

Table 3-4. Timeline of Launch Events

GMT

Event (hr:min:sec)

S-IVB GRR 22:48:03.039

Range Clock Zero 22:48:08.000

Lift-off ZZ:48:08.000

LM GRR 22:48:08.860

LGC Clock Zero 22:48:08.960

PIPTIME 22:48:I0.870

LM GRR was triggered by the LGC upon detection of an average lift-

off acceleration at or above I. Ig over a half-second sample interval.

From Table 3-4 it can be seen that LM GRR occurred O. 860 seconds after

range clock zero. Thus, range time can be calculated from times in the

LM GRR time base by addition of 0. 860 seconds.

The LM-I flight represented a substantial departure from earlier

missions with regard to the amount of data available for postflight IMU

analysis. In preceding missions, independent trajectory measurements

of reasonable quality were available for several high acceleration flight

phases. In general, usable data have been obtained during boost, during

3 -23

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several orbital burn sequences, and during reentry. However, the LM-1

mission necessarily precluded an intact reentry and recover. In addition,

revisions made in the flight profile were such that high quality tracking

data were not available during the burns. As a consequence of this,

determination of IMU performance errors depended entirely upon analysis

of boost phase data. A summary of these errors is presented in Table 3-2.

Most of the performance errors lay well within specified i_ limits. Errors

which exceeded these limits were X-accelerometer misalignment about

Z (MXAZ); Y-accelerometer misalignment about Z (MYAZ), X-gyro input

axis acceleration sensitive drift (ADIAX), Z-gyro input axis acceleration

sensitive drift (ADIAZ), and X-gyro spin axis acceleration sensitive drift

(ADSRAX). The ADIAX and ADIAZ results are of particular interest.

The prelaunch calibrations for these parameters were widely dispersed.

Postflight analysis resulted in estimates of these terms quite consistent

with laboratory calibrations. These facts, coupled with prior flight history

cast some doubt on the validity of preflight tests procedures and results.

As indicated earlier, the quality of tracking data during and after

orbital burns was inadequate to obtain an accurate ESPOD trajectory.

However, a comparison was made between the compensated LM-1 G&N

burn trajectory and an ESPOD state vector at completion of the burn. The

results of this comparison appear in Table 3-9. As can be seen from the

table, the agreement is poor. The difference is believed to be largely

attributable to the ESPOD trajectory for the postburn interval, which is

considered unreliable.

3. 3 ORBIT ANALYSIS

3.3. i Lunar Module Orbital Reconstruction

The lunar module (LM) trajectory was reconstructed using low speed

C-band and low speed S-band radar tracking data and the TRW Orbit

Determination Program (ESPOD). The LM orbital Segment of the flight

begins at LM/S-IVB separation and ends at the ascent propulsion system

(APS) fuel depletion burn. For the purpose of reconstructing a best esti-

mate of the trajectory (BET), the LM orbital phase of the flight was

divided into five segments as follows:

Segment I LM/S-IVB separation to first descent

propulsion system burn (DPS- I) cutoff

3 -24

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Segment Z DPS- I engine cutoff to the beginning of

program reader assembly III (PRA Ill)

Segment 3 End of PRA IIIto the end of the first

period (5 hours and 9 minutes GMT)

of reaction control system (RCS)

thrusting following PRA Ill

Segment 4 End of the first period of RCS thrustingfollowing PRA III to the beginning of the

second period (5 hours and 59 minutes

GMT) of RCS thrusting following PRAIII

Seglnent 5 The beginning of the second period ofRCS thrusting following PRA III tobeginning of PRA V

Table 3-5 presents a summary of information pertinent to the recon-

struction of each of the above mentioned segments.

Before the reconstruction of each segment is discussed in detail, a

few assumptions concerning these fits should be stated. First, it is

assumed that all stations are in perfect time synchronization with one

another unless otherwise noted. Second, it is assumed that all data are

time tagged on the receive pulse; thus, the light time correction retards

the time tag of the data. Third, it is assumed that a 0. 107-second timing

bias added to all tracking data accounts for the difference between UTI

and UTC for 2Z-Z3 January 1968.

Information which is too detailed to present in the body of this

report, but nevertheless has a significant influence on the resulting BET,

is presented in Appendix B. The information found in Appendix B is listed

below:

• A summary of radar observations for the lunar

module spacecraft with comments on the use of

each pass of data

• A surn/rtary of the station locations used inESPOD

• A sumn, ary of drag parameter (CdA/gm)values for various phases of the mission

• Arable of radar data weights used in ESPODfor C-band and S-band radar data

3-Z5

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3-Z6

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The free-flight portion of the trajectory for Segment I (see

Table 3-5) was recortstructed using C-band and S-band radar tracking

data; however, not all of the available data were used in the fit. All the

doppler data were weighted out of the fit, although some of the doppler

data were good, Angular information was also weighted out of the fit

when suspicious residual patterns occurred that corresponded to low

elevation passes. Another reason that the data were weighted out was the

need for better data balance between stations in the southern hemisphere

and stations in the northern hemisphere. See Appendix B for comments

on the use of the available data for this segment.

A drag value c,f 0. 2039 feet2/slug was used in the fit which solved

on the state vector _nd X- and Y-angle biases at TEXS01 and TEXSOZ. A

0. 132-degree X-angle bias and 0. 064-degree Y-angle bias were recovered

for TEXS. The DPS I burn was modeled by the IGS burn model and initial

misalignments in the platform and accelerometer biases were fixed at the

values obtained by analyzing the guidance system.

The trajectory which resulted from a fit using only C-band data was

compared with the BET at epoch. The comparison revealed a total differ-

ence in position of 2;68 feet and a total difference in velocity of 0.54 feet/

second. Also a trajectory which resulted from a fit using onlyS-band data

(RXY and doppler), when compared with the BET at epoch, revealed a total

difference in position of 1017 feet and a total difference in velocity of 0. g9

feet/second. These comparisons indicate that the C-band data and the

S-band data were consistent:

The residual mean and RMS by station and data type are listed in

Table 3-6 for Segr_ents I through 5. All quantities are defined as usual,

and N is the number of data points for each observation type. Residual

plots for this segment can be found in Appendix A.

The trajectory for Segment 2 was reconstructed using C-band and

S-band data. In a manner similiar to the Segment t trajectory recon-

struction, the doppler data and angle data corresponding to low elevation

passes were weighted out of the fit.

3 -27

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a. C-band data

P_nEe {ft]

S_tton Rev. Sellm_nZ I Rev_ Segment _ Rev_ Segment _ Rev_ S_JLm_t 4 Rev_ S_llment 5 S_IiOn Rev. Sin|merit t77, 0 M_n

ANTC 4 IZ4.0 _MS_J.0 N _.NTC

_0,0 _Z_. D Me=.ASCC 4 _48, 0 $ _4. 0 RMS

2$, 0 8_. 0 N ._SCC

RMS 0.00_8BDOC z.l _.0 N _DQC Z.t O.01Z_

bZ.0 t,_.0I_t.0 -166,_ -17.0 -IqS.0 _4¢=_

CROC t,_ [ZL.0 _ _,_ _ 2O.O _ _7.0 _MS72.O ]8,¢, t0.0 S_.0 _ CROC L.Z 0 00_47Z. 0

GBIC 4 S0,0 RMS}D, I_ N GB]C

HAWC 1,4 14Z.0 _ _00.0 _MS

ML_C L,_ 7t,0 4 4g,,) RMS 0. 00414b. o ss. ) N t_L._C 2, 3 0. o09b4b 0

.Z_.Q Mesn o. oolipAT_ Z _1.o RMS

7 _ N PATC 2 O. OOJ5_,0_. 0 Mean

TANC _ 92. 0 RMS TANC_q. o N

ts_,o SS.0 -91._ Mei_ -o, o0i_WHSC 4 8b,o > _b.0 _ g. 0 RMS WFL_C t o. oo_4

_l.O _1.o _.o N _1.o

b. S- band. data

S¢_t_on Rev_ _.el_me_¢_ IRev_ _,_nt_ R_ff= Segment _ Rev_ SeJ_men: 4 R_ Segment S Stxt,o_ ]_ev. Se_n_rnt i

-_5, o M¢a_ o, o_,>cACN$ _ qZ.0 RMS ACNS Z 0. UI_

]%O N _,0

CNB$ [ i_.0 RMS CNBS I 0.00_I

C_ I.Z _44.0 ],_ Z,_.0 _ 67.O RMS CR(_ _.Z 0.02_444.O _.0 _.0 N _4.0

GLOS _ _7.0 RMS GLDS _ 0, 00_q

GWMS 4 II_.0 _ Z45.0 RMS GWMS

GYMS _ 4 _4.0 _MS _-_S _ 0 014_

t_4,_, _.0 Mean -0 00_

_S,0 41.0 N _S.0

MILS 4 t_.0 S 4_,0 R_S MILSI_.0 11.0 N

-_9,0 [0S. 0 k_ean -0. 000} !

4S.O ZL.0 N 4_.0

E.OLDOUTFRAME /

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Aa_uth 4d,g)

Lev_ Selment t Ray. Segment 3 _ev_ SeSrn*nt 4 Rev_ SeJ[ment 5 _lt4ttt_

0. 004B h(_n

0. 008Z I_MS ANTCJ3. 0 N

-0. O045 -0. 003_ M_n0.0_14 S 0. 0073 Rk4S ASCC

Z$.0 81.0 N

M_nRMS BDOCN

-0. 0061 -o. 0056 0. 005_ Me_

.4 0.00_ 5 0.00Z_ 5 O. OO4O RMS CROC3&.0 tO. 0 _.0 N

• 0. 0047 Meln0. OO64 RMS GBIC

ZT. 0 N

MQan

J, • • 4t- _5. o 46. o N ttAwc-o. ool ?, Meino. ooz9 R_s ML.AC

_5.0 N

MeanRMS PATCN

-0.0650 Mean

5 o. OI Z _ Rh,(S TANC]Ol.O N

o hog_, o. ooo_ P,_eano ,._L 4 o. oo_7 RM5 WHSC

X #,nile(de&)

St_l,on _)Rev_ SeRme_ Z _ev_ S_ Rev. S©_me_t 4 R®v. Se&menl

bS. 0 I_

Me_ CNB5RM_N

-O.0478 -0.0001 Mean CI;C60.0184 _ 0. _tT_ RMS

Z0.0 _3.0 N

0.0_Z7 Meln GLDS

18.0 N

-0.0_h -0.0Zg_ _eln CWM54 _. 01_*, 5 0.0_11 RMS

t_.0 10_.0 N

-0. 01_B 0. 00IT Me_, _¥MS_.4 0.0114 4 0. 0ZZl _MS

0. OOO7 Memn KAW5_. 4 0. 017K RMS

_0. 0 N

-0.0_0& Mein I_ L.S0.0_11 R_4S4.O N

* . "*'i 0.0_4_ Mean TLX_• 1 _ 0. 0_04 RMS

t_.0 N

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Table 3-6. 1_esidual Mean and R/VISby Station and Data Typefor Segments 1-5.

Elo_tton (do|)

ov_ _*&r_t f JRav_ Sol;m_ _ Z _ $aimont 3 P,ev.._ $mllm_It 4 _ S*lFn_tI*II_n

-0.00_6 Iql_q¢ (I. 00_2 N

_3.0-0.03O7 -0.0ZZ2 _

4 0. OO41 5 0.0t04 RMS25.0 61.0 N

MW0. 006 t lU*_

_ _ 0.0OS6 N

_a. OOO3 0.0o54 -0. oleo o. otq6 Id I_s*t. 2 Q. 00_ _. 4 o. oo7o _ 0. 006_ 5 o. _040 RMS

7_.0 3S. 0 L0.0 $3.0 NM_

0, 0|09 IUM.q4 0. 0050 bl

30.0

.0. O01S 5 0.01_ _)3.4 0.0_4_

55. O 4_.0 NMun

°O. 00B72,3 0. 006_ N

46. O

0. 0028 l_M.q2 0.00_l N

?.0- 0.0ZO _) M_

5 O. O069101.0

-0. 005Z -0. 004_ -0. OZg? aM_n0.0O49 _ 0. O07? 4 0_ OO44 _M_

_.0 tl.0 _.0

?-^allt [d*II)

Seiment I Rev. Seime"c Z Re v. Sellment 3 Rev_ S*l_lnt • F,ev__ Selma_t

0, O007 0 0tZ? M_0.6O68 _ 0.0tt_ _MS

0 _Z2_ RI._

0,0t26 0.0tt_ 0.0_ k4_nt,Z 0 0_ S 0. OO6O _ O.0tq_ BM$

44.0 _L.0 Sl,0 N

0._t61 _. 0L46 _Qs_RM$O. OO77 4 G. 00_3 N

._ 00_0 °0.0q6q Mun4 0. O_ID 5 0.0_._ RMS

16._ _08.0 N

-0.0484 -0.04_ -0. 046_ M_

2t.0 _._ tL0 N

9._ N

l, _ 0. _,i01 4 n. 00_ RM$_. i_.0 N

3 -29

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An attempt was made to fit all the data from LM/S-IVB separation to

the beginning of PRA 2II while modeling the DPS 1 burn. However, the

poor data coverage prior to PRA III resulted in an unsatisfactory fit. Now

the Segment 2 trajectory fit the data prior to PRA III better than the com-

bined fit of Segment I and Segment 2. Therefore, in order not to compro-

mise the initialization of the PRA III burn, the Segment 2 trajectory was

chosen as the BET for this phase of the mission.

A drag value of 0. 2039 feet2/slug was used in the Segment 2 fit which

solved on the state vector. TIEXS03 had an X-angle bias of 0. 148 degree

and a Y-angle bias of 0. 075 degree. These results compare favorably

with the values recovered for TEXS in the Segment 1 fit. The Segment 1

trajectory was compared with the Segment 2 trajectory at DPS i engine

cutoff. The comparison revealed a 2000-foot difference in total position

and a 2.42-foot/second difference in total velocity.

The Segment 2 trajectory was also compared with two other trajec-

tories at epoch. The first trajectory resulted from a C-band data fit; the

second trajectory resulted from an S-band data fit (RXY and doppler). The

comparisons indicate that both the C-band trajectory and the S-band tra-

jectory are within 200 feet in total position and 0. 15 foot/second in total

velocity of the BET. This again indicates that the C-band data and the

S-band data are consistent.

The residual mean and RMS by station and data type for Segment 2

are found in Table 3-6. The residuals for this segment are found in

Appendix A,

The trajectory from the end of PRA III to the beginning of PRA V

was divided into three segments (3, 4, 5) because low-ievel RCS thrusting

occurred during this period. Segment 3 covers the period from the end of

PRA III to 5 hours and 9 minutes GMT; RCS thrusting occurred during

this segment. Segment 4 covers the period from 5 hours and 9 minutes

GMT to 5 hours and 59 minutes GMT; this is a free-flight period.

Segment 5 covers the period from 5 hours and 59 minutes GMT to the

beginning of PRA V; RCS thrusting occurred during this segment.

The trajectory for Segment 3 was reconstructed using all available

C-band and S-band data. Since more than half the available data were

3-31

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from TEXS, the TEXS data dominated the fit. Also the maximum ele-

vations for the other stations (GYMS, WHSC, and MLAS) were all less

than 8 degrees.

A drag value of 0.4516 feet2/slug was used in the fit that solved on

the state vector. Table 3-5 presents a summary of information for this

fit.

The residual mean and 1RMS by station and data type for Segment 3

are listed in Table 3-6. Residual plots for this segment can be found in

Appendix A.

The trajectory for Segment 4 was reconstructed using all available

C-band and S-band data. The majority of the data, 271 observations of

the total 380 observations, were observations that had elevations below

10 degrees. Available information indicated that no RCS thrusting

occurred during this interval. Therefore, although the data situation is

not the best, confidence can be placed in the reconstructed trajectory.

The solution vector consisted of the state vector with drag modeled

using a value of 0.4516 feet2/stug. The trajectory for Segment 4 was com-

pared with the trajectory for Segment 3 at 5 hours and 9 minutes. The

total difference in position was 1467 feet, and the total difference in

velocity was 2. 17 feet/second. These differences are a measure of the

effect of the RCS thrusting on the Segment 3 trajectory.

The residual mean and RMS by station and data type for Segment 4

can be found in Table 3-6. The residual plots for this segment can be

found in Appendix A.

The trajectory for Segment 5 was reconstructed using all available

C-band and S-band data. As with Segments 3 and 4, the primary data

problem was the lack of tracking data with elevations above 10 degrees.

Only Guam had tracking data above 10 degrees elevation (maximum ele-

vation was 28 degrees for Guam). RCS thrusting occurred for a period

of about 30 minutes; therefore, the accuracy of the reconstructed tra-

jectory is degraded by these conditions. The solution vector for the fit

was the state vector with drag modeled by a value of 0. 4516 feet2/slug.

3 -32.

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The resultant residual patterns (see Appendix A for the residual

plots for this segment} were erratic and verify the fact that thrusting

occurred. Also the Segment 4 trajectory was compared with the

Segment 5 trajectory at 5 hours and 59 minutes GMT. The total difference

in position and the total difference in velocity (5500 feet and 8.07 feet/

second, respectively) are a measure of the effects of RCS thrusting on

the Segment 5 trajectory.

Attempts were made to fit Segments 4 and 5 together using limited

telemetered acceleration information from Carnarvon and Hawaii, but the

lack of telemetry information from Guam prevented a good fit of Segment

4 and Segment 5 data.

The residual mean and RMS by station and data type for Segment 5

can be found in Table 3-6. The residual plots for this segment are given

in Appendix A.

Table 3-7 lists state vectors corresponding to specific events. The

quantities tabulated are defined as follows:

Symbol Definitionof Symbols

LAT Geodetic latitude of the vehicle measured posi-

tive north of the equator (degrees)

LON Longitude of the vehicle measured positive eastof the Greenwich meridian (degrees)

BETA Flight-path angle measured positive downwardfrom the local vertical (degrees)

AZ Azimuth of the velocity vector measured posi-tive east of true North {degrees)

R Magnitude of the position vector (feet)

V Magnitude of the velocity vector (feet/second)

3 -33

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Q0

_-_

0_

_O

0

NC

_N

_N

O0

P.-

Cr,

N_

CP

"f_

2"

".-:2..:

N_1

NN

N

¢_P

-I_

0_

••

°•

ook_i_1_-

_o

-_

_I

,_t_

0_

L/3

1

_'_

__

<

__._

_

_"_x+-=

o__

3-34

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Data Anomalies and Biases

The following data anomalies were observed on the Apollo 5 flight:

ASCC04 The range residuals exhibited a peakedpattern while the azimuth residuals had a0. 06-degree discontinuity at the maximumelevation of the pass (Appendix A).

CLQC The radar site had a wrong fit for theazimuth and elevation angles.

WHSC02 Large angle residuals substantiated the factthat White Sands tracked on a side lobe.

TANC05 A minus 0. 065-degree bias in azimuth wasobserved during this pass.

The following data biases were observed from Table 3-6:

CROC The average azimuth bias for revolutions1-5 was -0.0049 degree.

GYIkdS The average Y-angle bias for revolutions

2-4 was -0.0466 degree.

GWMS The average X-angle bias for revolutions4-5 was -0. 0295 degree.

HAWS The average Y-angle bias for revolutions

2-4 was -0.0231 degree.

TEXS The average X-angle bias for revolutions1-4 was 0. 1262 degree, and the averageY-angle bias for revolutions 1-4 was0. 0684 degree.

Maneuver Azlalysis

It was not possible to reconstruct the PRA III and PRA V maneuvers

using low-speed C°h,and tracking data and telemetered acceleration infor-

mation in the form of an acceleration burn tape, in IGS ESPOD for the

following reasons:

• The lack: of good C-band data

• ']?he thruster activity following PRA ILl

However, DPS 1 was modeled in the Segment I trajectory by using the

burn tape and value.=: for platform errors that were obtained by analyzing

the guidance system.

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In order to give the reader some idea of the magnitude of the burns,

the following information is tabulated. Table 3-8 lists the maneuver, the

time of initiation of the maneuver (GMT), the source of the information,

the duration of the maneuver in seconds (_t),the component AV's in LM

guidance platform coordinates (Z_Vx, &Vy, _Vz), and the total velocity

(AV). The listed velocities have not been corrected for guidance errors.

3.3.2 Orbital Burn Phases

Normally, the Apollo G&N trajectory (total position and velocity)

estimates during all burns are available on downlink at 2-second intervals.

However, after premature termination of the DPS-I burn, the LGC was

placed in idle mode. In this mode, only the accumulated aecelerometer

counts were available. Using these counts and compensating for the IMU

performance errors determined from boost data, the LM- I G&N trajectory

for PRA III was reconstructed. PRA III was the second descent engine

burn (the first successful descent engine burn, under program reader

assembly control).

The LGC PRA IIItrajectory was initialized on (or made to coincide

with) the ESPOD BET at time (t) = 22191.05 seconds for LM GRR immedi-

ately prior to DPS ignition. In this manner perfect agreement (LM G&N

versus BET) was obtained at the beginning of the comparison interval.

However, the ESPOD BET is discontinuous over the burn periods. It con-

sists of two distinct segments, one terminating at ignition and the other

beginning at shutdown. It was not possible to link these end points reliably

with tracking data taken during the burn. Moreover, the BET sequence

obtained after shutdown covers a period of only 5 minutes and is based on

inadequate data (TEX, with twenty-one data points; WHS, with only seven

data points). A better orbit determination during that period was not

possible because of RCS activity during orbit five (for which there was no

telemetry coverage). Consequently, the postburn BET was completely

independent of the preburn trajectory (from which the initialization vector

was taken) and was of uncertain quality. For this reason, the rather

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large postburn velocity discrepancies (Table 3-9) between reconstructed

LM G_N and BET are not considered significant.

In like manner, the PRA V burn reconstruction was initialized with

the ESPOD BET at t = 27, 639. 05 seconds, and the trajectory w,as recon-

structed using LGC data and the IMU errors determined from ascent

analysis. Since no useable telemetry data were available after occurence

of the gimbal lock condition, the trajectory reconstruction was terminated

at t = 28, 051. 05 seconds.

Table 3-9. Position and Velocity Comparison -LM- I G&N versus BET/PRA HI

(t = ZZ, 419. 05 seconds)

LM IMU Coordinates

VX (G&N)-VX (BET) -0.39

VY (G&N)-VY(BET) 0.52

VZ (G&N)-VZ (BET) -14. I0

PX (G&N)-PX (BET) -612.00

PY (G&N)-PY (BET) -289.00

PZ (G&N)-PZ (BET) -2048.00

3.4 RTCC TRAJECTORY COMPARISON

The state vectors obtained in real time by the RTCC for the Apollo 5

mission were compared with the Task A-50 best estimate of the trajectory

(BET) at RTCC anchor times from LM/S-IVB separation to HAW05 (prior

to PRA V). The purpose of making these comparisons is to aid the RTCC

in evaluating fit procedures for this and subsequent Apollo Missions.

The state vector comparisons are discussed in this section. Also

included in the discussion is a set of special state vectors comparisons of

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Table 3-10. RTCC Summary of Radar Data for AS-204/LM-I

Anchor Time E B_/kX

Code Batch (day:hr :min:sec I N (de_) A/R

BDAC 06 00:22:58:12 21 28 S

BDQC 08 00:Z2:58:12 21 28 A

REDC 02 00:23:00:24 34 25 R

CYIC 05 00:23:07:48 33 30 R

TANC 09 00:23:27:00 23 12 A

CROC I1 00:23:42:18 42 12 A

CROS 13 00:23:42:48 37 13 A

CNBS 12 00:23:50:18 27 8 A

WHSC 14 01:00:19:18 47 17 A

IPATC |6 01:00:24:36 47 20 R

MLAC 17 01:00:24:36 51 23 A

MILS 18 01:00:26:48 24 23 R

BDQC 19 01:00:28:00 54 51 A

REDC 20 01:00:35:00 32 38 R

BDAS 21 01:00:29:54 32 50 A

REDC 20 01:00:35:00 32 38 R

TANC 23 0i:00:58:48 50 26 A

CROC 22 0i:01:15:06 52 20 A

CROS 24 01:01:16:48 35 20 A

HAWS 26 01:01:40:06 37 11 R

GDSS 25 "01:01:50:24 29 15 A

WHSC 27 01:01:53:36 34 60 R

MLAC 29 0I:01:57:48 53 39 A

BDQC 31 01:02:0t:12 47 12 A

BDAS 35 01:02:02:54 30 12 R

ANTC 33 01:02:03:36 39 7 A

REDC 34 01:02:07:54 18 4 R

PREC 37 01:02:28:06 18 16 R

CROC 39 01:02:48:30 50 44 S

CROC 41 01:02:48:30 50 44 S

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Table 3- 10. RTCC Summary of Radar Data for AS-204/LM-I (Continued)

Anchor Time EMAX

Code Batch (day:hr :min:sec) N (de_) A/R

CROS 42 01:02:48:30 25 43 A

HAWC 44 01:03:12:42 53 24 A

WTNC 43 01:03:18:27 16 39 R

CLQC 48 01:03:22:29 42 13 R

GYMS 46 01:03:24:12 47 24 R

WHSC 47 01:03:25:30 49 42 A

MLAC 50 01:03:3i:i8 47 19 A

GBIC 5l 01:03:31:24 54 25 A

MILS 52 01:03:33:48 22 17 R

ANTC 53 01:03:35:54 55 43 A

ASCC 54 01:03:49:48 54 14 A

CROC 55 01:04:22:54 6 3 R

CROS 56 01:04:22:54 8 3 R

GWMS 57 01:04:33:18 38 22 A

HAWC 58 01:04:47:12 32 6 R

HAWS 60 01:04:47:18 18 6 R

WTNC 59 01:04:51:37 24 42 R

GYMS 61 01:04:57:18 30 51 R

WHSC 56 01:04:58:36 33 10 R

TEXS 66 01:05:01:00 I I 12 R

TEXS 67 "01:05:02:i2 15 15 R

ASCC 68 01:05:22:54 48 10 R

ASCC 70 01:05:22:54 80 10 S

ACNS 69 01:05:25:18 22 9 A

TANC 72 01:05:40:06 80 33 A

TANC 73 01:05:50:18 28 13 A

CROC 74 01:05:58:00 63 5 A

GWMS 75 01:06:10:48 66 29 A

HAWS 77 01:06:27:42 24 8 R

HAWC 79 01:06:27:48 49 8 A

WTNC 78 01:06:32:29 15 18 R

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prime interest to the RTCC. As previously noted, a time bias was added

to the time tag of the low speed tracking data to account for the difference

between UT! and UTC. The real-time orbit determination program does

not account for the difference between UT1 and UTC. However, when the

comparisons were made, the BET was adjusted so that the BET and the

RTCC trajectory were using the same time scale (UTC).

Table 3-10 lists in detail the data received and processed by the

RTCC. The :enaximul_n elevation of the pass (Emax), the anchor vector

time (GMT), the number of valid points in each batch (N), and an indi-

cation that the data were either accepted or rejected (A/R) is tabulated.

An "S" in the accept/reject column denotes an single station solution. The

batch number is simply a numbering system used by the RTCC and has no

special significance. The MSC memorandum on the RTCC Mission Data

Summary was the source of Table 3-10

RTCC Comparisons

A summary of comparisons is listed in Table 3-tl. The table lists

the data used in the fit to obtain the RTCC vector, the RTCC batch number,

the RTCC anchor time (GMT), the maximum elevation of the pass (Emax),

the BET segment number, the total difference in position (_R), and the

total difference in velocity (AV).

It can be seen from the summary that good comparisons were

obtained for Segments 1 and Z. The exceptions are the CROC 39, the

CROC 41, and the CROS 42 comparisons. The large total velocity differ-

ence for these three comparisons can be explained by the fact that the

RTCC fits occurred !immediately following DPS I engine cutoff and were

essentially single station fits.

The relatively bad comparisons for Segments 4 and 5 are the result

of low level RCS thrusting which occurred from 5 hours, 1 minute, and

36 seconds GMT to 5 hours and 9 minutes GMT and from 5 hours and

59 minutes GMT to 6 hours and 32 minutes GMT on 23 January. Segments

4 and 5 were defined by these periods of RCS thrusting; consequently, the

effects of the thrusting on the trajectory were minimized. The RTCC,

however, was unaware that thrusting was occurring, and consequently, it

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tried to fit the data from ASCC 70 to HAWC79 which degraded the result-

ing trajectory.

The bad comparison for TANC73 can be explained by the fact that

only 28 observations were used in this fit (80 observations were used in

the TANC72 fit). The maximum elevation of the data in the TANC73 fit

was 13 degrees compared to a maximum elevation of 33 degrees for the

data in the TANCY2 fit.

Special Comparisons

The summary of special comparisons can be found in Table 3-12.

The vectors are time ordered according to anchor time and the total

difference in position and velocity is listed.

The output of the RTCC Compare Program is listed for each vector

appearing in Tables 3-1_ and 3-12.

The results of the comparison program are given in the following

listing. The definitions of the symbols used are as follows.

Symbol Definition of Symbols for RTCC Comparison

X Components of the position and velocity vectorreferenced to a geocentric, inertial, Cartesian,

Y coordinate system. It is a right handed systemZ where the X-axis lies in the true equatorial plane

in the direction of the Greenwich meridian at

X Oh day of launch, the Z-axis is orthogonal to theY true equatorial plane, and the Y-axis completes

the right-handed system. The units are earthZ radii and earth radii/hour.

SEMI-MAJOR Semi-major axis (feet)

ECCEN Eccentricity of the orbit

INCL Inclination of the orbit plane to the equator

measured positive counter clockwise from theequatorial plane to the orbit plane at the ascend-ing node (degrees)

NODE Right ascension of the ascending node (degrees)

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Symbol Definitionof Symbols for RTCC Comparison

ARG PERIGEE Argument of perigee measured positive in thedirection of motion from the ascending node

(degree s)

TRUE ANOM True anomaly measured positive in the direction

of motion (degrees)

PERIOD Osculating period of the orbit (minutes)

APOGEE Altitude of apogee above a reference sphere

(nautical mile s)

PERIGEE Altitude of perigee above a reference sphere

(nautical miles)

VEL-MAG Magnitude of the inertialvelocity vector (feet/second)

FLT PATH Flight path angle measured positive downwardfrom the local vertical (degrees)

HEADING Azimuth of the velocity vector measured positive

east of true North (degrees)

DECLIN Declination(degrees)

LONG Longitude of the vehicle measured positive east

of the Greenwich meridian (degrees)

HEIGHT Height of the vehicle above a reference sphere(nautical miles )

Difference between the RTCC and TRW components

DELTA U of the position and velocity vector in a vehicle

DELTA V cerltered, coordinate system where the U-axis isDELTA W collinear with the earth-centered inertial radius

DELTA UDOT vector and is directed outward, the V-axis lies

DELTA VDOT in the orbit plane and is orthogonal to the U-axis,

DELTA WDOT and the W-axis completes the right-handed system.

DELTA POS Magnitude of the difference between the RTCCposition vector and the TRW position vector

DELTA VEI_ Magnitude of the difference between the RTCC

velocity vector and the TRW velocity vector

3 -43

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Table 3-!I. RTCC Comparison Summary

EAnchor Time max AR &V

Station Batch (da_:hr:min:sec) (deg) BET {ft) (ft/sec1

CROC 11 22:23:42:18 12. 5 l 1126 0. 88

CROS 13 22:23:42:18 12.5 1 1048 0. 89

CNBS 12 22:23:50:18 8. 1 1 552 0.51

W HSC 14 23:00:19:18 17.2 1 346 0.81

MLAC t7 23:00:24:36 22. 5 1 335 0.77

BDQC 19 23:00:28:00 50.6 1 301 0.67

BDAS 21 23:00:29:54 50.5 1 317 0.60

TANC 23 23:00:58:48 26.0 1 546 0.76

CROC 22 23:01:15:06 20.2 1 394 0.55

CROS 24 23:01:16:48 20.3 i 331 0.33

GDSS 25 23:01:50:24 14.7 1 201 0.28

MLAC 29 23:01:57:48 39.2 l 232 0.22

BDQC 31 23:02:01:12 12.3 1 286 0.19

ANTC 33 23:02:03:36 7.4 1 333 0.17

CROC 39 23:02:48:30 43.7 2 724 3.29

CROC 41 23:02:48:30 43.7 2 723 3.29

CROS 42 23:02:48:30 43.4 2 632 3.59

HAWC 44 23:03:12:42 24. 3 2 844 I. 17

WHSC 47 23:03:25:30 42.4 2 276 0.44

MLAC 50 23:03:31:18 19.3 2 310 0.44

GBIC 51 23:03:31:24 24.6 2 284 0.40

ANTC 53 23:03:35:54 42.7 2 316 0.54

ASCC 54 23:03:49:48 14.4 2 121 0.16

GWMS 57 23:04:33:18 22. 1 2 1013 0. 75

ASCC 70 23:05:22:54 9. 5 4 2585 1. 15

ACNS 69 23:05:25:18 9.7 4 1778 4. 0t

TANC 72 23:05:40:06 33.4 4 1266 0.91

TANC 73 23:05:50:18 33.4 4 811t 23. 01

CROC 74 23:05:58:00 5. 0 4 2666 6. 24

GWMS 75 23:06:10:48 28. 5 5 2057 2. 09

HAWC 79 23:06:27:48 8. 5 5 1600 2. 44

3 -44

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Table 3..12. RTCC Comparison Summary for Special Vectors

Anchor Time zKR AV

Vector Description (day:hr :min:se c) BET (ft) (ft/sec)

High speed radar vectorfollowing the separat!Lonmaneuver 22:23:44:00 1 661 138. 59

Best RTCC vector priorto DPS t 23:02:03:36 1 333 O.17

High speed vector

following DPS I Z3:02:48:34 2 6, 870 18.47

Best RTCC vector prior

toPRA 3 23:04:33:18 2 I,013 0.75

High speed vector from

WHSC following PRA 3 23:05:02:13. I 3 2, 640 49. 61

Vector used to build

LGC Navigation update

prior to PRA 5* 23:05:09:29 4 27, 918 65. 88

Best RTCC vector p:_iorto PRA 5 23:06:27:48 5 i,600 2.44

High speed vector from WHSC prior to PRA 5 (vector used to build LGCnavigation update )

3 -45

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Page 94: IQISC_PA-R-OS-/ Sul)i)lement 2 NATIONAL AERONAUTICS AND SPACE ADMINISTRATION APOLLO .5 MISSION REPORT i APOLLO MISSION 5/AS-204/LM-1 TRAJECTORY i RECONSTRUCTION AND POSTFLIGHT ANA

APPENDIX A

TRACKER RESIDUAL PLOTS

This appendix contains plots of the range, azimuth, and elevation

residuals to the reconstructed trajectory for the C-band radar data and

plots of the range, X-angle, Y-angle, and doppler residuals to the recon-

structed trajectory for the S-band radar data for the Apollo 5 mission.

The trajectory was reconstructed using low speed C-band and S-band

tracking data.

Each plot is identified by the name of the station, the revolution, the

type of data, and the BET segment which generated the residuals. Near

the bottom of each plo'_ is listed representative spacecraft elevations above

the local, station-centered, horizontal plane. This will help the reader to

visualize the geometry of the pass. The time scale is given in minutes

from 0 hour (GMT) of the day of epoch. The time scale may be correlated

with the elapsed time :[rom range zero by associating the first data point

with the time listed near the top of each plot.

Below each plot comments will be made on such things as geometry

of the pass, data quality, program model errors, etc. , if applicable.

A-!

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APPENDIX A

CONTENTS

Page

A-I Revolution I, Carnarvon: RAE (Segment I BET) ....... A-7

A-2 Revolution i, Carnarvon: Doppler (Segment I BET) ..... A-8

A-3 Revolution i, Canberra: IIXY (Segment I BET) ........ A-9

A-4 Revolution I, Canberra: Doppler (Segment i BET) ...... A-10

A-5 Revolution i, White Sands: R.AE (Segment I BET) ...... A-ll

A-6 Revolution I, Texas: RXY (Segment l BET) .......... A-12

A-7 Revolution I, Texas: Doppler (Segment 1 BET) ........ A-13

A-8 Revolution Z, Merritt Island: R.AE (Segment 1 BET) ..... A-14

A-9 Revolution Z, Merritt Island: KXY (Segment I BET) ..... A-15

A-10 Revolution Z, Merritt Island: Doppler (Segment 1 BET) . . A-16

A-11 Revolution Z, Patrick: RJkE (Segment I BET) ......... A-17

A-IZ Revolution Z, Grand Bahama: XY (Segment I BET) ..... A-18

A-13 Revolution Z, Bermuda: RXY (Segment i BET) ........ A-19

A-14 Revolution Z, Bermuda: Doppler (Segment 1 BET) ...... A-Z0

A-15 Revolution Z, Bermuda(Q): RAE (Segment I BET) ...... A-Zl

A-16 Revolution Z, Carnarvon: RJkE (Segment 1 BET) ....... A-ZZ

A-17 Revolution Z, Carnarvon: RXY (Segment 1 BET) ....... A-23

A-18 Revolution _, Carnarvon: Doppler (Segment I BET) ..... A-Z4

A-19 Revolution Z,, Hawaii: R/KY (Segment I BET) .......... A-25

A-Z0 Revolution 2,,Hawaii: Doppler (Segment i BET) ....... A-26

A-Z1 Revolution Z,,Goldstone: R_XY (Segment 1 BET) ........ A-27

A-ZZ Revolution Z, Guaymas: XY (Segment i BET) ......... A-28

A-Z3 l_evolution Z, Guaymas: Doppler (Segment | BET) ...... A-29

A-3

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CONTENTS (Continued)

Page

A-Z4 Revolution Z, White Sands: R.AE (Segment 1 BET) ...... A-30

A-Z5 Revolution Z, Texas: l_XY(Segment I BET) .......... A-31

A-Z6 Revolution Z, Texas: Doppler (Segment 1 BET) ........ A-32

A-Z7 Revolution 3, Merritt Island: KAE (Segment t BET) ..... A-33

A-Z8 Revolution 3, Merritt Island, RXY (Segment i BET) .... A-34

A-Z9 Revolution 3, Merritt Island, Doppler (Segment I BET) . . A-35

A-30 Revolution 3, Grand Bahamas: XY (Segment I BET) ..... A-36

A-31 Revolution 3, Bermuda (Q): RJkE (Segment i BET) ...... A-37

A-32 Revolution 3, Bermuda: RXY (Segment I BET) ........ A-38

A-33 Revolution 3, Bermuda: Doppler (Segment I BET) ...... A-39

A-34 Revolution 3, Antigua: RAE (Segment I BET) ......... A-40

A-35 Revolution 3, Ascension: XY (Segment I BET) ........ A-41

A-36 Revolution 3, Ascension: Doppler (Segment I BET) ..... A-4Z

A-37 Revolution 3, Carnarvon: RAE (Segment 2 BET) ....... A-43

A-38 Revolution 3, Carnarvon: R.XY (Segment Z BET) ....... A-44

A-39 Revolution 3, Carnarvon: Doppler (Segment Z BET) ..... A-45

A-40 Revolution 3, Hawaii: ILAE (Segment 2.BET) .......... A-46

A-41 Revolution 3, Hawaii: R.XY (Segment 2.BET) .......... A-47

A-42. Revolution 3, Hawaii: Doppler (Segment Z BET) ....... A-48

A-43 Revolution 3, California: RAE (Segment 2 BET) ....... A-49

A-44 Revolution 3, Guaymas: RXY (Segment Z BET) ........ A-50

A-45 Revolution 3, Guaymas: Doppler (Segment 2.BET) ...... A-51

A-46 Revolution 3, White Sands: ILAE (Segment 2.BET) ...... A-52

A-47 Revolution 3, Texas: RXY (Segment Z BET) .......... A-53

A-4

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CONTENTS (Continued)

Page

A-48 Revolution 3, Texas: Doppler (Segment 2 BET) ........ A-54

A-49 Revolution 4, Merritt Island: RAE (Segment Z BET) ..... A-55

A-50 Revolution 4, Merritt Island: KXY (Segment Z BET1 ..... A-56

A-51 Revolution 4, Merritt Island: Doppler (Segment 2 ]BET) . • A-57

A-52 Revolution 4, Grand Bahama: KAE (Segment 2 BET) .... A-58

A-53 Revolution 4, Grand Bahama: XY(Segment Z BET) ..... A-59

A-54 Revolution 4, Antigua: RAE (Segment Z BET) ......... A-60

A-55 Revolution 4, Ascension: RAE (Segment Z BET) ....... A-61

A-56 Revolution 4, Carnarvon: RAE (Segment Z BET) ....... A-6Z

A-57 Revolution 4, Carnarvon: RXY (Segment Z BET) ....... A-63

A-58 Revolution 4, Carnarvon: Doppler ISegment 2 BET) ..... A-64

A-59 Revolution 4, Guam: RXYCSegment Z BET) .......... A-65

A-60 Revolution 4, Guam: Doppler (Segment Z BET) ........ A-66

A-6I Revolution 4, Hawaii: RAE (Segment Z BET) .......... A-67

A-62 Revolution 4, Hawaii: R.XY (Segment 2 BET) .......... A-68

A-63 Revolution 4,, Hawaii: Doppler (Segment Z BET) ....... A-69

A-64 Revolution 4_, Goldstone: XY (Segment Z BET) ......... A-70

A-65 Revolution 4, California: RAW. (Segment Z BET) ....... A-71

A-66 Revolution 4, Guaymas: RXY(Segment Z BET) ........ A-7Z

A-67 Revolution 4, White Sands: R.AE (Segment 3 BET) ...... A-73

A-68 Revolution 4, Texas: RXY(Segment 3 BET) .......... A-74

A-69 Revolution 4, Texas: Doppler (Segment 3 BET) ........ A-75

A-70 Revolution 4, Guaymas: RXY (Segment 3 BET) ........ A-76

A-7t Revolution 5, Merritt Island: RXY (Segment 3 BET) ..... A-77

A-5

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CONTENTS (Continued)

Page

A-72 Revolution 5, Merritt Island: Doppler (Segment 3 BET) . . A-78

A-73 Revolution 5, Ascension: RAE (Segment 4 BET) ....... A-79

A-74 Revolution 5, Ascension: R_XY (Segment 4 BET) ....... A-80

A-75 Revolution 5, Ascension: Doppler (Segment 4 BET) ..... A-Si

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APPENDIX B

SUPP LEMENTAI_Y DATA

Information which is too detailed for the body of the report is pre-

sented in this appendix. This information includes a summary of radar

observations, a summary of station locations, a summary of drag values

for various phases of the missionp and a summary of the radar data

weights used in ESPOD.

Table B-I, a sunnmary of data observations, lists the time of the

first valid data point with an elevation above 3 degrees (rise time) and the

elevation of this data point (rise elevation), the maximum elevation of the

pass, the time of the last valid data point with an elevation above 3 degrees

(set time) and the elevation of this data point (set elevation), and the num-

ber of valid data points by station and revolution. Also included is a com-

ment regarding the use of each pass of data.

Table B-2 lists the C-band station locations used in ESPOD. These

locations are referenced to the Fischer Ellipsoid of 1960.

Table B-3 lists the S-band station locations used in ESPOD. These

locations are referenced to the Fischer Ellipsoid of 1960.

Table B-4, the drag summary, lists the vehicle configuration, the

time interval for which the listed drag value is valid, vehicle weight for

this time interval, vehicle cross sectional area, and the value of the drag

parameter.

Table B-5 lists the values used by ESPOD to weight the radar track-

ing data from each station as a function of data type and radar type.

B-i

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