Bate, Mueller, and White - Fundamentals of Astrodynamics ... - UL FGG

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Fundamentals of ASTRODYNAMICS ROGER R. BATE Professor and Head DONALD D. MUELLER Assistant Professor of Astronautics JERRY E. WHITE Associate Professor of Astronautics OF THE DEPARTMENT OF ASTRONAUTICS AND COMPUTER SCIENCE UNITED STATES AIR FORCE ACADEMY DOVER PUBLICATIONS, INC. NEW YORK
Copyright © 1971 by Dover Publications, Inc. All rights reserved under Pan American and In· ternational Copyright Conventions. Published in Canada by General Publishing Com pany, Ltd., 30 Lesmill Road, Don Mills, Toronto, Ontario. Published in the United Kingdom by Constable and Company, Ltd., 10 Orange Street, London WC 2. Fundalllellials of Astrodynamics is a new work, first published in 1971 by Dover Publications, Inc. International Standard Book Nttmber: 0-486-60061-0 LibTary of Congress Catalog Card Number: 73-157430 Manufactured in the United States of America Dover Publications, Inc. 180 Varick Street New York, N. Y. 10014
Page 2: FUNDAMENTALS OF ASTRODYNAMICS Roger
Page 8 and 9: PREFACE The study of astrodynamics
Page 10: acknowledgment is due Lieutenant Co
Page 13 and 14: x 2.12 Improving a Preliminary Orbi
Page 15 and 16: xii Appendix A Appendix B Appendix
Page 17 and 18: 2 TWO-BODY ORBITAL MECHANICS Ch.1 m
Page 19 and 20: 4 LF=m r TWO-BODY ORBITAL MECHANICS
Page 21 and 22: 6 lWO-BODY ORBITAL MECHANICS Ch . 1
Page 23 and 24: 8 TWO-BODY ORBI TAL MECHANICS Ch.1
Page 25 and 26: 10 TWO-BODY ORBITAL MECHANICS From
Page 27 and 28: 12 TWO-BODY ORBITAL MECHANICS Ch. 1
Page 29 and 30: 14 TWO·BODY ORBITAL MECHANICS Ch.
Page 31 and 32: 16 TWO-BODY ORBITAL MECHANICS Ch.1
Page 33 and 34: 18 TWO·BODY ORBITAL MECHANICS, Ch.
Page 35 and 36: 20 TWO·BODY ORBITAL MECHAN ICS Ch.
Page 37 and 38: 22 TWO-BODY ORBITAL MECHANICS Ch .
Page 39 and 40: 24 TWO -BODY ORBITAL MECHANICS Ch_
Page 41 and 42: 26 TWO-BODY ORBITAL MECHANICS th. 1
Page 43 and 44: 28 TWO-BODY ORBITAL MECHAN ICS and
Page 45 and 46: 30 TWO·BODY ORBITAL MECHANICS Ch .
Page 47 and 48: 32 TWO-BODY ORBITAL MECHANICS Ch .
Page 49 and 50: 34 TWO-BODY ORBITAL MECHAN ICS Ch.
Page 51 and 52: 36 TWO-BODY ORBITAL MECHANICS ell .
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38 TWO-BODY ORBITAL MECHANICS Ch .
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40 TWO-BODY ORBITAL MECHANICS Ch. 1
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42 TWO-BODY ORBITAL MECHANICS I AU/
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44 TWO-BODY ORBITAL MECHANICS Ch .
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46 TWO-BODY ORBITAL MECHAN ICS Ch _
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48 TWO-BODY ORBITAL MECHANICS Ch. 1
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CHAPTER 2 ORBIT DETERMINATION FROM
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Sec. 2 .2 COORDINATE SYSTEMS 53 an
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Sec. 2.2 vernal equinox direction C
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Sec. 2.2 COORDINATE SYSTEMS 57 star
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Sec. 2.3 CLASSICAL ORBITAL ELEMENTS
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Sec. 2.4 DETERMINING ORBITAL ElEMEN
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Sec. 2.4 DETERMINING ORBITAL ELEMEN
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Sec. VI DETERMINING ORBITAL ElEMENT
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Sec. 2.4 p:::: 1.5 DU e :::: O DETE
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Sec. 2.4 DETERMINING ORBITAL ELEMEN
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Sec. 2.5 DETERMINING r AND V Find t
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Sec. 2.5 DETERMINING r AND V 73 and
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Sec. 2.6 COORDINATE TRANSFORMATIONS
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Sec. 2.7 DETERMINATION FROM RADAR O
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Sec. 2.8 TRANSFORMATION USING AN EL
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Sec. 2.8 e quatorial buloe 21.4 km
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Sec:. 2.8 TRANSFOR MATION USING AN
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Sec. 2.8 TRANSFORMATION USING AN EL
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Sec. 2.9 THE MEASUREMENT OF TIME 10
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Sec. 2.9 THE MEASU REMENT OF TIME 1
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Sec. 2.9 THE MEASU REMENT OF TIME 1
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Sec. 2.9 THE MEASUREMENT OF TIME Fr
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Sec. 2.10 DETERMINATION FROM POSITI
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Sec . 2.10 DETERMINATION FROM POSIT
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Sec. 2.11 DETERMINATION FROM OPTICA
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Sec. 2.11 DETERMINATION FROM OPTICA
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Sec. 2.11 DETERMINATION FROM OPT IC
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Sec. 2.12 IMPROVING A PRELIMINARY O
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Sec. 2.12 IMPROV ING A PRELIMINARY
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Sec. 2. 12 IMPROVING A PRELIMINARY
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Sec. 2.12 IMPROV ING A PRELIMINARY
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Sec. 2.13 SPACE SU RVEILLANCE 131 R
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Sec. 2.14 TYPE AND LOCATION OF SENS
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Sec. 2.14 TYPE AND LO CATION OF SEN
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Sec. 2.14 TYPE AND LO CATION OF SEN
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Sec 2.14 TYPE AND LOCATION OF SENSO
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Sec. 20 15 GROUND TRACK OF A SATELL
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Sec. 2.15 GROUND TRACK OF A SATELLI
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Ch. 2 EXERC ISES 145 b. Object B de
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Ch.2 EX E RCISES 147 b. fl 0.707112
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Ch. 2 149 LIST OF REFERENCES 1. Gau
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CHAPTER 3 BASIC ORBITAL MANEUVERS B
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. Ul ILl ..J (I) i ;... , ..J
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Sec. 3.1 LOW ALTITUDE EARTH ORBITS
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Sec. 3.1 lOW ALTITUDE EARTH ORBITS
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Sec. 3.1 LOW ALTITUDE EARTH ORBITS
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Sec. 3.2 HIGH ALTITUDE EARTH ORBITS
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Sec. 3.3 IN-PLANE ORBIT CHANGES 163
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Sec. 3.3 IN-PLANE ORBIT CHANGES 165
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Sec. 3.3 I N-PLANE ORBIT CHANGES 16
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Sec. 3.4 OUT-O F-PLANE ORBIT CHANGE
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Sec. 3.4 OUT-OF-P lANE ORBIT CHANGE
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Sec. 3.4 OUT·O F·PLANE ORBIT CHAN
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Ch. 3 EXERCISES 175 8=0.56 c. & = -
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CHAPTER 4 POSITION AND VELOCITY AS
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Sec 4.1 HISTORICAL BACKGROUND 179 d
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Sec 4.2 TIME-OF-FLIGHT - ECCENTRIC
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Sec 4.2 TiME-OF-FLIGHT - ECCENTRIC
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Sec 4.2 TIME-O F-FLIGHT - ECCENTRIC
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Sec 4.3 UNIVERSAL FORMULATION - TIM
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Sec 4.4 THE PREDICTION PROBLEM But
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4.4 SUbsti: u: n : : q a[: ' : # 19
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Sec 4.4 THE PREDICTION PROBLEM 197
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Sec 4 .4 THE PREDICTiON PROBLEM 199
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Sec 4.4 we obtain THE PREDICTION PR
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Sec 4.5 UNIVERSAL VARIABLE FORMU LA
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Sec 4.5 UNIVERSAL VARIABLE FORMU LA
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Sec 4 .5 UNIVERSAL VAR IABLE FORMUL
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Sec 4.5 UNIVERSAL VARIABLE FORMULAT
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Sec 4.5 UNIVERSAL VARIABLE FORMULAT
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Sec 4.6 THE KEPLER PROBLEM 213 Figu
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Sec 4.6 THE KEPLER PROBLEM 2 1 5 Fr
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Sec 4.6 THE KEPLER PROBLEM 217 rang
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Sec 4.6 THE KEPLER PROBLEM 219 4;6.
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Sec 4.6 THE KEPLER PROBLEM 221 atte
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Ch. 4 EXERCISES 223 Calculate the t
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Ch. 4 EXERCISES 225 (t - to) 0 (t -
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,CHAPTER S ORBIT DETERMINATION FROM
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Sec. 5.2 THE GAUSS PROBLEM - SO LUT
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Sec. 5.3 SO LUTION VIA UNIVERSAL VA
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Sec. 5.3 SO LUTiON VIA UNIVERSAL VA
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Sec. 5.3 SOLUTION VIA UNIVERSALVAR
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Sec. 5.4 THE p-ITERATION METHOD 241
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Sec. 5.4 THE p-ITERATION M ETHOD 24
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Sec. 5.5 GAUSS PROBLEM USING f AND
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1 and G o = O. 5.5.1 Development of
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Sec. 5.5 GAUSS PROBLEM _ USINGf AND
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Sec. 5.5 GAUSS PROBLEM USING f ANDg
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Sec. 5.6 TH E ORIGINAL GAUSS METHOD
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Sec. 5.6 THE ORIGINAL GAUSS METHOD
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Sec. 5.6 THE ORIGINAL GAUSS METHOD
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Sec. 5.7 INTERCEPT AND RENDEZVOUS 5
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Sec. 5.8 DETERMINATION OF ORBIT 271
Page 288 and 289:
Ch. 5 EXERCISES 273 Z, x, Y, Z, whi
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Ch. 5 EXERCISES Compare the accurac
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278 BALLISTIC MISSILE TRAJECTORIES
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282 BALLISTIC MISSI LE TRAJECTORIES
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284 cos _':1'_ BALLISTIC MISSILE TR
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290 °00 1 BALLISTIC MISSILE TRAJEC
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292 en 80 ... 0> Q) -0 .- EO c ..
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294 BALLISTIC MiSSILE TRAJECTORIES
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t tf EJ: :: I::/N!: :i : : : ! :x :
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' 314 BALLISTIC MISSILE TRAJECTORIE
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318 BA LLISTIC MISSILE TRAJECTORIES
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322 LUNAR TRAJECTO RIES Author in t
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324 LUNAR TRAJECTORIES Ch. 7 Figure
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326 LUNAR TRAJECTOR I ES Ch. 7 Moon
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328 LUNAR TRAJECTORIES Ch. 7 some a
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330 LUNAR TRAJECTO RIES Ch. 7 an in
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332 LUNAR TRAJECTORIES Ch. 7 Figure
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334 LUNAR TRAJECTORIES Ch. 7 where
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336 LUNAR TRAJECTORIES Ch . 7 Figur
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338 LUNAR TRAJ ECTORIES Ch. 7 which
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340 LUNAR TRAJECTORIES Ch. 7 number
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342 From equation (7.4-3) h = 1 .44
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344 LUNAR TRAJECTORIES eil. 7 From
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346 LUNAR TRAJECTORIES Ch. 7 free f
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348 60 50 40 30 0 20 c «>- 10 0.
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350 - !3 o ::t: 1 h o 1 2 3 4 5 6 7
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352 LUNAR TRAJECTOI;tIES Ch. 7 and
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354 LUNAR TRAJECTORIES Ch . 7 7.10
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CHAPTER 8 INTERPLANETARY TRAJECTORI
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Sec. 8.2 Planet Mercury Venus Earth
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.., 00 t Orbital Mean Planet Perio
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Sec. 8.3 \ THE PATCHED-CONIC APPROX
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Sec. 8.3 THE PATCHED-CONIC APPROXIM
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Sec. 8.3 THE PATCHED·CONIC APPROXI
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Sec. 8.3 to sun .-_.... THE PATCHED
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Sec. 8.3 THE PATCHE D·CONIC APPROX
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Sec. 8.3 THE PATCHED·CONIC APPROXI
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Sec. 8.4 NONCOPlANAR TRAJECTORIES V
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Ch. 8 EXERCISES 381 Show that or 3
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Ch. 8 EXERCISES 383 c. Find the vel
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CHAPTER 9 PERTURBATIONS "Life itsel
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Sec. 9.2 COWELL'S METHOD 387 contro
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Sec. 9.2 COWELL'S METHOD r=v • il
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Sec. 9.3 ENCKE'S METHOD 391 orbit.
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Sec. 9.3 ENCKE'S METHOD - - - Refer
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Sec. 9.3 ENCKE'S METHOD 395 which i
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Sec. 9.4 VAR IATION OF PARAMETERS O
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Sec. 9.4 VAR IAT ION OF PARAMETERS
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Sec. 9.4 VARIAT ION OF PARAMETERS O
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Sec. 9.4 VAR iATiON OF PARAMETERES
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Sec. 9.4 VARIATION OF PARAMETERS OR
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Sec. 9.4 VARIATION OF PARAMETERS OR
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Sec. 9.5 INTEGRATION SCHEMES AND ER
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Sec. 9.6 NUMERICAL INTEGRATION METH
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Sec. 9.7 PERTURBATIVE ACCELERATIONS
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Sec. 9.7 PERTURBAT IVE ACCELERATION
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Ch. 9 EXERCISES where f = -4.5 X 10
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Ch. 9 EXERCISES 427 7. Townsend, G.
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APPENDIX B MISCELLANEOUS CONSTANTS
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432 VECTOR REVIEW C Equality of Vec
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434 (a) A-B = B A - (b) A -(B + C)
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436 VECTOR REVIEW (d) If A=A I I +
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438 x VECTO R REVI EW z K o .... ..
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APPENDIX D SUGGESTED PROJECTS This
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442 SUGGESTED PROJECTS D D.2 PROJEC
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444 Data Set 1 VI 0 VJ 0 VI( 1 DT 1
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446 SUGGESTED PROJECTS D procedures
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448 SUGGESTED PROJECTS D Launch Sit
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Acceleration comparison, 11 Adams-B
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Halley, Edmund, 2 Halley's comet, 2
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Rotating coordinate frame, 86-89 de
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Bate, Mueller, and White - Fundamentals of Astrodynamics ... - UL FGG

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