Modern astrodynamics: fundamentals and perturbation methods
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 250 S. graph. Darst. |
| ISBN: | 0691044597 |
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MARC
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Record in the Search Index
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| adam_text | MODERN ASTRODYNAMICS FUNDAMENTALS AND PERTURBATION METHODS VICTOR R.
BOND AND MARK C. ALLMAN PRINCETON UNIVERSITY PRESS CONTENTS PREFACE IX I
FUNDAMENTALS L 1. BACKGROUND 3 1.1 INTRODUCTION 3 1.2 NOTATION AND UNITS
3 1.3 TIME 9 2. THE TWO-BODY PROBLEM 12 2.1 NEWTON S LAWS 12 2.2 PHYSICS
OF THE TWO-BODY PROBLEM 13 2.2.1 UNIFORM SPHERICAL MASS POTENTIAL 15 2.3
DEFINITION OF AN INTEGRAL 19 2.4 INTEGRALS OF THE TWO-BODY PROBLEM 19
2.4.1 AREA INTEGRATE 21 2.4.2 ENERGY INTEGRAL H 22 2.4.3 LAPLACIAN
INTEGRAL P 23 2.4.4 RELATIONSHIP AMONG THE INTEGRALS 24 2.4.5 SUMMARY OF
INTEGRALS DERIVED 26 2.4.6 APPLICATION: THE ABORT PROBLEM 26 2.4.7
KEPLER S EQUATION 27 3. KEPLER S LAWS 31 3.1 KEPLER S FIRST LAW 32 3.2
KEPLER S SECOND LAW 34 3.3 KEPLER S THIRD LAW 36 3.3.1 PLANETARY MASS
DETERMINATION 37 4. METHODS OF COMPUTATION 40 4.1 POSITION/VELOCITY IN
INTEGRALS 40 VI CONTENTS 4.2 POSITION/VELOCITY*TRUE ANOMALY 42 4.3
POSITION/VELOCITY*ECCENTRIC ANOMALY 44 4.4 SOLUTION OF KEPLER S EQUATION
45 4.5 COMPUTATION OF POSITION/VELOCITY 47 4.5.1 ALGORITHM NO. 1:
COMPUTING POSITION AND VELOCITY 47 4.5.2 ALGORITHM NO. 2: KEPLER S
EQUATION * SOLUTION 48 4.6 ORBITAL ELEMENTS 49 4.7 OTHER ORBITAL ELEMENT
SYSTEMS 56 4.7.7 DELAUNAY ELEMENTS 56 4.7.2 POINCARE ELEMENTS 56 5. THE
/ AND G FUNCTIONS 58 5.1 / AND G FUNCTIONS*DEVELOPMENT 59 5.2 / AND G
FUNCTIONS*TRUE ANOMALY 63 5.3 / AND G FUNCTIONS*ECCENTRIC ANOMALY 66
5.3.1 ALGORITHM NO. 3: COMPUTATION OF DELTA-E 70 5.4 / AND G
FUNCTIONS*UNIVERSAL VARIABLE 71 5.4.1 ALGORITHM NO. 4: USING UNIVERSAL
VARIABLES 76 5.4.2 ALGORITHM NO. 5: KEPLER S EQUATION * SOLUTION 77 5.5
/ AND G FUNCTIONS IN TIME 78 6. TWO-POINT BOUNDARY VALUE PROBLEMS 81 6.1
INTRODUCTION 81 6.2 LAMBERT S PROBLEM 81 6.3 UNIVERSAL VARIABLE 83 6.3.1
ALGORITHM NO. 6: SOLUTION OF LAMBERT S PROBLEM 86 6.4 LINEAR TERMINAL
VELOCITY CONSTRAINT 88 7. APPLICATIONS 91 7.1 INTERPLANETARY
TRAJECTORIES 91 7.1.1 HELIOCENTRIC PHASE 92 7.1.2 ALGORITHM NO. 7:
V-INFINITY VECTORS SOLUTION 93 7.1.3 PLANETOCENTRIC PHASE 93 7.7.4
PLANETARY FLY BY (GRAVITY TURN) 94 7.2 SPACE SHUTTLE ASCENT TARGETS 100
7.3 TWO-BODY ANYTIME-DEORBIT SOLUTION 103 7.4 RELATIVE MOTION 107 7.4.1
RADIAL DISPLACEMENT 108 7.4.2 VARYING ECCENTRICITY 110 7.4.3 PERIODIC
MOTION 110 7.4.4 ROTATION ABOUT THE Q AXIS 114 CONTENTS VII II
PERTURBATION METHODS 115 8. PERTURBATION THEORY 117 8.1 INTRODUCTION 117
5.7.7 EXPLANATION OF PERTURBATION THEORY 118 8.1.2 ELEMENTARY EXAMPLE *
HARMONIC OSCILLATOR 119 8.2 POISSON S METHOD 121 8.2.1 ELEMENTARY
EXAMPLE*HARMONIC OSCILLATOR 122 8.3 LAGRANGE VARIATION OF PARAMETERS 123
8.3.1 ELEMENTARY EXAMPLE * HARMONIC OSCILLATOR 124 8.4 TWO-BODY
INTEGRALS OF MOTION 126 8.5 INTERPRETATION OF C, E, AND N 127 8.6 THE
PERTURBED TWO-BODY PROBLEM 127 8.6.1 ENERGY AND SEMI-MAJOR AXIS 128
8.6.2 ANGULAR MOMENTUM 130 8.6.3 INCLINATION 131 8.6.4 THE NODE ANGLE Q
132 8.6.5 LAPLACE VECTOR 133 8.7 SOME PARTIALLY SOLVED PROBLEMS 134
8.7.1 CONSERVATIVE POTENTIALS 134 8.7.2 OBLATE PLANET POTENTIAL 135
8.7.3 TIME-DEPENDENT POTENTIAL 137 8.7.4 DERIVATIVES FOR A ROTATING
PLANET 139 8.7.5 DERIVATIVES FOR PERTURBATION BY A THIRD BODY 141 8.7.6
TETHERED SATELLITE PROBLEM 143 8.7.7 DRAG PROBLEM 145 9. SPECIAL
PERTURBATION METHODS 147 9.1 PROPAGATION ERROR 147 9.2 REGULARIZATION
148 9.3 REGULARIZING THE TWO-BODY PROBLEM 151 9.3.1 THE JACOBI INTEGRAL
155 9.3.2 CHANGE TO THE JACOBI INTEGRAL 155 9.3.3 THE TWO-BODY SOLUTION
156 9.3.4 INTRODUCTION OF 6 AND Y 15 8 9.3.5 THE SIGNIFICANCE OF 6 AND Y
159 9.4 SUMMARY OF THE ELEMENTS 160 9.5 SPERLING-BURDET APPROACH 161
9.5.7 EQUATIONS FOR THE SPATIAL ELEMENTS 163 9.5.2 EQUATIONS FOR THE
TEMPORAL ELEMENTS 172 VIII CONTENTS ^ 9.6 SUMMARY OF THE EQUATIONS 177
9.7 SPERLING-BURDET METHOD*EXAMPLES 178 9.7.7 OBLATE EARTH PLUS THE MOON
179 9.7.2 STABLE LIBRATION POINTS 180 9.7.3 CONTINUOUS RADIAL THRUST 182
10. RUNGE-KUTTA METHODS 184 10.1 INTRODUCTION 184 10.2 ERROR
CLASSIFICATION 185 10.3 RUNGE-KUTTA FIXED STEP 188 10.3.1 RUNGE-KUTTA
FIRST ORDER 189 10.3.2 RUNGE-KUTTA SECOND ORDER 190 10.4 RUNGE-KUTTA
VARIABLE STEP 192 70.4.7 THERKFL(2) 194 70.4.2 ALGORITHM NO. 8: RKF4(5)
195 11. TYPES OF PERTURBATIONS 198 11.1 THIRD-BODY PERTURBATIONS 199
77.7.7 DEVELOPMENT OF THE PERTURBATION 200 77.7.2 BATTIN S APPROACH 203
77.7J DERIVATION OF F(Q) 204 11.1.4 CASE WHEN POSITION IS LARGE IN
MAGNITUDE , 205 11.2 POTENTIAL FUNCTION FOR A PLANET 207 7 7.2.7 CASE OF
A SATELLITE ABOUT THE EARTH 211 APPENDIXES 215 A. COORDINATE
TRANSFORMATIONS 217 A.I ROTATION OF COORDINATE SYSTEMS 217 A.2
TRANSFORMATION TO THE TWO-BODY SYSTEM 220 B. HYPERBOLIC MOTION 225 C.
CONIC SECTIONS 230 D. TRANSFER-ANGLE RESOLUTION 233 E. STUMPFF FUNCTIONS
236 F. ORBIT GEOMETRY 239 REFERENCES 243 INDEX 247
|
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| isbn | 0691044597 |
| language | English |
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| physical | XI, 250 S. graph. Darst. |
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| spelling | Bond, Victor R. Verfasser aut Modern astrodynamics fundamentals and perturbation methods Victor R. Bond and Mark C. Allman Princeton, NJ Princeton Univ. Press 1996 XI, 250 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Astrodynamique obspm Astrophysique Mécanique céleste obspm Mécanique céleste ram Théorie des perturbations obspm Astrodynamics Himmelsmechanik (DE-588)4127484-2 gnd rswk-swf Satellitendynamik (DE-588)4206759-5 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 s DE-604 Satellitendynamik (DE-588)4206759-5 s Allman, Mark C. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007195886&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bond, Victor R. Allman, Mark C. Modern astrodynamics fundamentals and perturbation methods Astrodynamique obspm Astrophysique Mécanique céleste obspm Mécanique céleste ram Théorie des perturbations obspm Astrodynamics Himmelsmechanik (DE-588)4127484-2 gnd Satellitendynamik (DE-588)4206759-5 gnd |
| subject_GND | (DE-588)4127484-2 (DE-588)4206759-5 |
| title | Modern astrodynamics fundamentals and perturbation methods |
| title_auth | Modern astrodynamics fundamentals and perturbation methods |
| title_exact_search | Modern astrodynamics fundamentals and perturbation methods |
| title_full | Modern astrodynamics fundamentals and perturbation methods Victor R. Bond and Mark C. Allman |
| title_fullStr | Modern astrodynamics fundamentals and perturbation methods Victor R. Bond and Mark C. Allman |
| title_full_unstemmed | Modern astrodynamics fundamentals and perturbation methods Victor R. Bond and Mark C. Allman |
| title_short | Modern astrodynamics |
| title_sort | modern astrodynamics fundamentals and perturbation methods |
| title_sub | fundamentals and perturbation methods |
| topic | Astrodynamique obspm Astrophysique Mécanique céleste obspm Mécanique céleste ram Théorie des perturbations obspm Astrodynamics Himmelsmechanik (DE-588)4127484-2 gnd Satellitendynamik (DE-588)4206759-5 gnd |
| topic_facet | Astrodynamique Astrophysique Mécanique céleste Théorie des perturbations Astrodynamics Himmelsmechanik Satellitendynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007195886&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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