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

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acknowledgment is due Lieutenant Colonel John P. Wittry for his encouragement and suggestions while serving as Deputy Head for Astronautics of the Department of Astronautics and Computer Science. Special thanks are also due several members of the Graphics Division of Instructional Technology at the USAF Academy for their excellent work in the composition of the text and the mathematical equations: Aline Rankin, Jan Irvine, Dorothy Fryar, Ronald Chaney (artist), and Edward Colosimo (Graphics Chief). The typing of the draft manuscript by Virginia Lambrecht and Marilyn Reed is also gratefully acknowledged. United States Air Force Academy Colorado January 1971 vii R.R.B. D.D.M. J.E.W.
Page 2: FUNDAMENTALS OF ASTRODYNAMICS Roger
Page 5 and 6: Copyright © 1971 by Dover Publicat
Page 8 and 9: PREFACE The study of astrodynamics
Page 12 and 13: CONTENTS Preface Chapter 1 TWO-BODY
Page 14 and 15: 5.5 The Gauss Pro blem Using the f
Page 16 and 17: CHAPTER 1 TWO-BODY ORBITAL MECHANIC
Page 18 and 19: Sec. 1 .1 HISTORICAL BACKGROUND AND
Page 20 and 21: Sec 1.2 THE N-BODY PROBLEM z G Mm r
Page 22 and 23: Sec 1.2 THE N·BODY PROBLEM 7 Apply
Page 24 and 25: Sec 1.2 THE N-BODY PROBLEM 9 F OTHE
Page 26 and 27: Sec. 1.3 THE TWO-BODY PROBLEM 11 is
Page 28 and 29: Sec. 1.3 THE TWO-BODY PROBLEM 13 X'
Page 30 and 31: Sec. 1.4 CONSTANTS OF THE MOTION 15
Page 32 and 33: Sec. 1.4 CONSTANTS OF THE MOTION 17
Page 34 and 35: Sec. 1.5 THE TRAJECTORY EQUATION 19
Page 36 and 37: Sec. 1.5 THE TRAJECTORY EQUATION 21
Page 38 and 39: Sec 1.5 THE TRAJECTORY EQUATION its
Page 40 and 41: Sec. 1.5 THE TRAJECTORY EQUATION Co
Page 42 and 43: Sec. 1 01) RelATING TO GEOMETRY OF
Page 44 and 45: Sec 1.6 so . tor any conic orbit, R
Page 46 and 47: Sec. 1.7 THE ELLIPTICAL ORBIT 31 I
Page 48 and 49: Sec. 1.8 THE CIRCULAR ORBIT 33 Equa
Page 50 and 51: Sec. 1.9 THE PARABOLIC ORBIT 35 ---
Page 52 and 53: Sec. 1.9 THE PARABOLIC ORBIT 37 p =
Page 54 and 55: Sec. 1.10 THE HYPERBOLIC ORBIT 39 f
Page 56 and 57: Sec. 1.11 CANON ICAL UNITS 41 norma
Page 58 and 59: Sec, 1.11 CANONICAL UNITS Find h fr
Page 60 and 61:
Ch. 1 EXERCISES 45 d. Find the leng
Page 62 and 63:
Ch. 1 EXERCISES body and rj l< is t
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Ch. 1 49 LIST OF REFERENCES 1. Newm
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52 ORBIT DETERMINATION FROM OBSERVA
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60 ORBIT DETERM INATION FROM OBSERV
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62 ORBIT DETERMI NATION FROM OBSERV
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66 ORBIT DETERMINATION f ROM OBSERV
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78 ORBIT [ DETERMINATION 0] FROM OB
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J 80 ORBIT DETERMINATION :::: f· F
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94 ORBIT DETERMINATION 6378.145 FRO
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100 ORBIT DETERMINATION FROM OBSERV
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102 ORBIT DETERMI NATION FROM OBSER
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11 0 ORBIT DETERMINATION FROM OBSER
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120 ORBIT D ETERMINATION FROM OBSER
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1.00 0.00 2.026 105.41 40.10 69.27
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138 ORBIT DETERMINAT ION FROM OBSER
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140 O RBI T DETERMINAT ION F ROM OB
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142 O RBIT DETERMINATI ON FRO M OBS
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144 ORBIT DETERMINAT ION FROM OBSER
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146 O RBIT DETERMINAT I ON FROM OBS
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148 ORBIT DETERMINATI ON F R OM OBS
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Page 167 and 168:
152 BASIC ORBITAL MANEUVERS Ch .3 r
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154 BASIC ORBITAL MANEUVERS Ch .3 o
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156 BASIC ORBITAL MANEUVERS Ch . 3
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158 25 >- 20 "' C II: "' .J 0 15 I/
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160 BASIC ORBITAL MANEUVERS Ch .3 3
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. 162 BASIC ORBITAL MANUEVERS Ch .
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166 BASIC ORBITAL MANEUVERS Vcs = (
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t Q) I o - c CD o o CD 168 BASIC O
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170 BASIC ORBITAL MANEUVERS Ch. 3 F
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112 BASIC ORBITAL MANEUVERS and we
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174 BASIC ORBITAL MANEUVERS . Ch .
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Page 193 and 194:
178 POSITION AND VELOCITY -A FUNCTI
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180 POSITION AND VELOCITY - A FUNCT
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1 84 POSITION AND VELOCITY - A FUNC
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188 POSITION AND VELOCITY -A FUNCTI
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202 POSITION AND VElOCITY - A FUNCT
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Page 225 and 226:
2 10 POSITION AND VELOCITY - A FUNC
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Page 229 and 230:
214 POSITION AND VElOCITY - A FUNCT
Page 231 and 232:
216 POSITION AND VELOCITV-A FUNCTIO
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220 POSITION AND VELOCITY-A FUNCTIO
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Page 243 and 244:
228 ORBIT DETERMINATION FROM 2 POSI
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Page 292 and 293:
CHAPTER 6 BALLISTIC MISSILE TRAJECT
Page 294 and 295:
Sec. 6.2 GENERAL BALLISTIC MISSILE
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Sec. 6.2 GENERAL BALLISTIC MISSI LE
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Sec 6.2 GENERAL BALLISTIC MISSI LE
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Sec. 6.2 GENERAL BALLISTIC MISSI LE
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Sec:. 6.2 GENERAL BALliSTIC MISSiLE
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Sec. 6.2 GENERAL BALLISTIC MiSSilE
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Sec. 6.3 LAUNCH ING ERRORS ON RANGE
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Sec. 6.3 LAUNCHING ERRORS ON RANGE
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Sec. 6.4 vel. of train l • , -.;:
Page 324 and 325:
Sec. 6.4 EFFECT OF EARTH ROTATION 3
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Sec. 6.4 EFFECT OF EARTH ROTATION 3
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Sec. 6.4 . EFFECT OF EARTH ROTATION
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Ch. 6 EXERCISES 315 6.7 In general,
Page 332 and 333:
Ch. 6 EXERCISES 317 6.17 A ballisti
Page 334 and 335:
Ch. 6 EXERCISES 319 All angles and
Page 336 and 337:
CHAPTER 7 LUNAR TRAJECTORIES Which
Page 338 and 339:
Sec. 7.2 THE EARTH-MOON SYSTEM 323
Page 340 and 341:
Sec. 7.2 THE EARTH-MOON SYSTEM 325
Page 342 and 343:
Sec. 7.3 SIMPLE EARTH-MOON TRAJECTO
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Sec. 7.3 j 80 C/) ... " 0 .c .. E i
Page 346 and 347:
Sec. 7.3 SIMPLE EARTH-MOON TRAJECTO
Page 348 and 349:
Sec. 7.4 THE PATCHED-CONIC APPROXIM
Page 350 and 351:
Sec. 1.4 TH E PATCHED-CONIC APPROXI
Page 352 and 353:
Sec. 7.4 THE PATCH ED-CONIC APPROXI
Page 354 and 355:
Sec. 7.4 to eorth to eorth 1', THE
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Page 360 and 361:
Sec. 7.5 NONCOPLANAR LUNAR TRAJECTO
Page 362 and 363:
Sec. 7.5 NONCOPlANAR LUNAR TRAJECTO
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Page 368 and 369:
Ch. 7 EXERCISES 353 7.S It is desir
Page 370:
Ch. 7 LIST OF REFERENCES 355 LIST O
Page 373 and 374:
358 INTERPLANETARY TRAJECTORIES Ch.
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(;) 00 N N Semi-major Planet axis a
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362 INTERPLANETARY TRAJECTORIES Ch
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368 INTERPLANETARY TRAJECTORIES Ch
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Page 387 and 388:
3.72 locus of injection points INTE
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378 reentry corridor col l ision cr
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382 INTERPLANETARY TRAJ ECTO RIES C
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386 PERTURBATIONS Ch. 9 from the no
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388 PERTURBATIONS Ch. 9 of motion o
Page 405 and 406:
390 PERTURBATIONS r¢ + 2 + riP sin
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392 6r bi == == a p + == a p + a p
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394 PERTURBATIONS Ch. 9 From equati
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396 PERTURBATIONS Ch. 9 This algori
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398 PERTURBATIONS Ch . 9 rotated 90
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400 PERTURBATIONS (This could also
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402 _ di rF w cos u dt na\/1-e 2 (9
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404 PERTURBATIONS Ch. 9 d"-bj d h2
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406 PERTURBATIONS Ch. 9 As an aside
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408 F = (1 -zS(z )) rr 0 • Note
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410 PERTURBAT IONS dx 1 ex- = - [x
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412 PERTURBATIONS ell. 9 in detail.
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414 PERTU RBATIONS Ch. 9 step-size,
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416 PERTURBATIONS ell. 9 beginning
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418 PERTURBATIONS Ch. 9 like other
Page 435 and 436:
;' \Q - Method of Numerical Trunca
Page 437 and 438:
422 'y = §!! = 'L ·x· oy X PERTU
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424 and m = vehicle PERTURBATIONS m
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426 PERTURBATIONS Ch. 9 9.5 Describ
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Geocentric Mean Equatqrial Radius,
Page 446 and 447:
APPENDIX C VECTOR REVIEW Vector ana
Page 448 and 449:
C.2 VECTOR OPERATIONS 433 Then C=C1
Page 450 and 451:
C.2 VECTOR OPERATIONS 435 Icl = IAI
Page 452 and 453:
C.3 VELOCITY 437 = A I (B 2 C3 - B3
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C.3 VELOCITY which, from the defini
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D.1 PROJECT SITE/TRACK 441 American
Page 458 and 459:
0.3 PROJECT KEPLER 443 D.3 PROJECT
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0.5 PROJECT INTERCEPT 445 For troub
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0.5 PROJECT INTERCEPT 447 p = 186.6
Page 464:
INDEX
Page 467 and 468:
452 Declination, 56, 117, 271 Depar
Page 469 and 470:
454 Noncoplanar lunar trajectories,
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Bate, Mueller, and White - Fundamentals of Astrodynamics ... - UL FGG

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