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Beutler G. — Methods of Celestial Mechanics: Volume I: Physical, Mathematical, and Numerical Principles
Beutler G. — Methods of Celestial Mechanics: Volume I: Physical, Mathematical, and Numerical Principles



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Название: Methods of Celestial Mechanics: Volume I: Physical, Mathematical, and Numerical Principles

Автор: Beutler G.

Аннотация:

G. Beutler's Methods of Celestical Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics. The accompanying CD-ROM enables readers to employ this software themselves and also serves as to illustrate and reinforce the related theoretical concepts.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1 edition

Год издания: 2005

Количество страниц: 464

Добавлена в каталог: 21.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Outer planetary system, Polar moment of inertia      II 219
Outer planetary system, Semi-major axes      II 220
Outer planetary system, Sidereal revolution periods      II 216 217
Outer planetary system, Spectral analysis      II 231
Outer planetary system, Synodic revolution periods      II 216
Outer planetary system, Total energy      II 216
PAI-system      I 70 80 84 85 88 100 104 113 114; 72 83 103 106 107 377
Parameter estimation      I 7; II 4
Parameter estimation, A posteriori variance      I 359
Parameter estimation, Fourier analysis      II 395
Parameter estimation, Iterative solution      I 360
Parameter estimation, Least squares method      I 355; II 395
Parameter estimation, Least squares principle      I 358; II 398
Parameter estimation, Linearization      I 361
Parameter estimation, Nonlinear problems      I 355
Parameter estimation, Normal equations      I 359; II 399
Parameter estimation, Observations      I 355
Parameter estimation, Residuals      I 358
Parameter estimation, Satellite geodesy      I 404
Parametrized post-Newtonian equations      I 4 117 118
Permanent deformation of Earth      II 68
Perturbation equations      I 210
Perturbation function      I 55
Perturbation methods      I 210
Perturbation terms      I 55
Perturbation theory      I 5 209—250
Perturbation theory, Decomposition of perturbations      I 228
Perturbation theory, Development of perturbation function      I 242
Perturbation theory, Encke-type equations      I 211
Perturbation theory, Equation for mean anomaly      I 247
Perturbation theory, First order perturbations      I 240
Perturbation theory, Gaussian equations      I 210 215
Perturbation theory, Gaussian equations, General form      I 216
Perturbation theory, Gaussian equations, Geometrical elements      I 219
Perturbation theory, Gaussian equations, Laplacian vector      I 218
Perturbation theory, Gaussian equations, Orbit normal vector      I 218
Perturbation theory, Gaussian equations, R’-, S’-, W’-decomposition      I 231
Perturbation theory, Gaussian equations, Time of pericenter      I 220
Perturbation theory, Gaussian equations, T’-, N’-, W’-decomposition      I 231
Perturbation theory, Gaussian equations, Vector form      I 223
Perturbation theory, General perturbations      I 210
Perturbation theory, Higher order perturbations      I 240
Perturbation theory, Lagrange planetary equations General form      I 233
Perturbation theory, Lagrange planetary equations Standard form      I 238
Perturbation theory, Lagrange's planetary equations      I 210
Perturbation theory, Perturbation term      I 209
Perturbation theory, Perturbed motion      I 209
Perturbation theory, Position gradients of elements      I 235
Perturbation theory, Special perturbations      I 210
Perturbation theory, Two-body term      I 209
Perturbation theory, Unperturbed motion      I 209
Perturbation theory, Velocity gradients of elements      I 228
Perturbations due to atmospheric drag      II 180
Perturbations due to higher-order terms      II 146—148
Perturbations, Long-period      I 246
Perturbations, Secular      I 246
Perturbations, Short-period      I 246; II 213
Perturbed motion      I 209
Physical libration      II 58
Piazzi, G.      I 28
Planck, M.K.E.L.      II 188
Planetary system      II 211—299
Planetary system, Age      II 216
Planetary system, Comets      II 212
Planetary system, Energy      I 58
Planetary system, Evolution      I 12; II 7 211
Planetary system, Force function      I 58
Planetary system, Inner system      II 211 238—249
Planetary system, Minor planets      II 211 249—299
Planetary system, Outer system      II 211 212 238
Planetary system, Potential energy      I 58
Planetary system, Sidereal and synodic revolution periods      II 239
Planets, Eccentricities      II 211
Planets, Inclinations      II 211
Planets, Masses      II 211
Planets, Revolution periods      II 211
Planets, Semi-major axes      II 211
Planets, Synodic periods      II 239
Poincare Earth model      I 11; II 6
Poincare Earth model, Equations of motion      II 107
Poincare Earth model, Free core nutation      II 115
Poincare Earth model, Free motion      II 108
Poincare Earth model, Period of free core nutation      II 117
Poincare Earth model, Precession and nutation      II 114
Poincare equations for Earth rotation      II 107
Poincare, H.      I 26 172;
Point mass      I 45 49
Poisson brackets      I 233
Poisson brackets of elements      I 237
Poisson's ratio      II 67
Poisson, S.D.      I 233; II 67
Polar moment of inertia      I 55 59;
Polar motion      I 417 418; 32
Polar tides      II 69
Polar wobble      II 17 32 123
Power spectrum      II 402
Precession      I 36; II 17
Precession period      II 15
Precise Orbit Determination      I 423
Primary equations      I 176; II 272
Principal axes of inertia      I 70
Principal moments of inertia      I 69 70
Probleme restreint      I 5 26 152 155—174;
Probleme restreint, Commensurability      I 173
Probleme restreint, Instability of Straight Line Solutions      I 170
Probleme restreint, Jacobi constant      I 158
Probleme restreint, Jacobi constant, reduced      I 160
Probleme restreint, Jacobi integral      I 158
Probleme restreint, Periodic solutions      I 171
Probleme restreint, Reduced masses      I 160
Probleme restreint, Stability of triangular solutions      I 167
Probleme restreint, Stationary solution      I 163
Probleme restreint, Straight line solutions      I 163
Probleme restreint, Tisserand criterion      I 158
Probleme restreint, Triangular solutions      I 165
Probleme restreint, Variational equations      I 167
Prograde Chandler motion      II 64
Prograde free polar motion      II 36
Prograde motion of a 2-d vector      II 410
Prograde motion of node      II 125 143
Prograde motion of pericenter      II 28 126 229 236 244 261 266
Prograde polar motion      II 50
Prograde polar motion due to ocean tides      II 96
Program system Celestial Mechanics      II 303—309
Program system Celestial Mechanics, Directory structure      II 306
Program system Celestial Mechanics, Help panels      II 304
Program system Celestial Mechanics, Menu system      II 304
Program system Celestial Mechanics, Visualization of results      II 308
Proper eccentricity      II 287
Proper elements      I 13; II 9 256 270 298
Pseudo-stochastic pulses      I 428 429
Ptolemaeus, C.      I 20
Quasar      I 32 49;
Quasi-inertial geocentric system      I 65 74 100;
Radiation pressure      II 7 173 175 188—207
Radiation pressure, Acceleraton      II 189
Radiation pressure, Advanced modelling      II 201
Radiation pressure, Albedo      II 206
Radiation pressure, Dissipative component      II 200
Radiation pressure, Earth shadow      II 190
Radiation pressure, Eclipse phase      II 190
Radiation pressure, y-bias      II 203
Reduced dynamics method      I 427 430
Refraction      I 32 363
Refraction, Ionospheric      I 34
Refraction, Tropospheric      II 20
Relativistic two-body problem      I 147—150; II 3
Resonant motion of minor planets      I 14; II 9 271
Resonant motion of satellites      II 7 148—168
Retrograde motion of a 2-d vector      II 410
Retrograde motion of node      II 125 223 226 245 266 298
Retrograde motion of pericenter      II 126
Retrograde polar motion due to ocean tides      II 96
Richardson, L.F.      I 275
Rigid body      I 45
Rigid rotating system      I 92
Rotation matrix      I 141 142
Rounding errors      I 207 210 292 331;
Runge, C.D.T.      I 272
Saros period      II 32
Satellite geodesy      I 32 404;
Satellite Laser ranging      I 9 35;
Scientific satellites, CHAMP      I 423
Scientific satellites, GOCE      II 209
Scientific satellites, GPS/MET      II 181
Scientific satellites, GRACE      II 209
Scientific satellites, Lageos      I 35
Scientific satellites, Pageos      I 33
Scientific satellites, Starlette      I 35 II
Secular Love number      II 74
Secular perturbations      II 267
Semi-latus rectum      I 127 128
Short arc method      I 428
Sidereal time      I 46; II 17 94
Silentium, Circular orbit      I 371
Silentium, Observations      I 365
Silentium, Orbit improvement      I 396
Silentium, Two-body orbit      I 381
Solar constant      II 189
Solar flux      II 177
Space geodesy      I 31 404;
Special perturbations      I 210
Spectral analysis      II 395
Speed of light (Astr. units)      I 148
Speed of light (SI)      II 15
Spherical harmonic functions      I 102
Spherical harmonic functions, Degree      I 103
Spherical harmonic functions, Order      I 103
Spherical harmonic functions, Sectorial terms      I 107
Spherical harmonic functions, Tesseral terms      I 107
Spherical harmonic functions, Zonal terms      I 106
State vector      I 51 140 257
stepsize      I 262
Stepsize control      I 295 403; 281 285
Stepsize selection, Rule of thumb      I 348
strain      II 66
Strain (longitudinal)      II 67
Strain (transversal)      II 67
Stratosphere      II 179
Stress      II 66
Sun, mass      II 15
Sun, radius      II 15
Synodic revolution period      I 246; II 213
Taylor, B.      I 254
Tectonic motion      II 63
Tectonic plates      II 63
Terrestrial time      I 47 117
Thermosphere      II 179
Three-body problem      I 4 150—174;
Tidal deformation      I 98
Tidal force      I 10; II 76
Tide gauges      II 82
Tide-generating potential      II 76
Tisserand criterion      I 158
Tisserand system      I 93
Tisserand, F.      I 93 152 158;
Titius, J.D.      I 27
Titius-Bode rule      I 27
Tombaugh, C.W.      I 27
TOPEX/Poseidon mission      I 40; II 82
TOPEX/Poseidon orbit and satellite characteristics      II 194
torque      I 76; II 21
Trans-Neptunian Objects      II 250
trojans      I 169; II 253
Troposphere      II 179
True anomaly      I 21 127 131 132
Tukey, J.W.      II 396
Two-body problem      I 4 123—144;
Two-body problem, Asymptotes of hyperbola      I 130
Two-body problem, Clairaut's equation      I 126
Two-body problem, Energy constant      I 127
Two-body problem, Energy theorem      I 128
Two-body problem, Fundamental equation      I 126
Two-body problem, Laplace integral      I 130
Two-body problem, Laplace vector      I 130
Two-body problem, Law of areas      I 123
Two-body problem, Orbital plane      I 123
Two-body problem, Polar equation      I 127
Two-body problem, Semi-latus rectum of conic section      I 127
universal time      I 36 46
Universal time coordinated      I 47
Unperturbed motion      I 209
UT1-UTC      I 36; II 19 123
Variation      II 31
Variation of constants      II 47
Variational equations      I 5 167 175—207; 272—274 297
Variational equations, Dynamical parameters      I 176
Variational equations, Efficient solution      I 202
Variational equations, Elliptic orbits      I 186
Variational equations, Example (minor planet)      I 196
Variational equations, Example (two-body)      I 193
Variational equations, General structure      I 178
Variational equations, Homogeneous system      I 179
Variational equations, Hyperbolic orbits      I 192
Variational equations, Inhomogeneous system      I 180
Variational equations, Initial values      I 176
Variational equations, Minor planet      I 195
Variational equations, N-body problem      I 198
Variational equations, Parabolic orbits      I 190
Variational equations, Primary equations      I 176
Variational equations, Two-body problem      I 183
Vernal equinox      I 50
Very long baseline inter ferometry      I 32 36; 19
Virial theorem      I 55 59
Volcano      I 29
von Oppolzer, T.      II 41
Wegener, A.L.      I 420; II 63
Wettzell VLBI telescope      II 19
Wild, P.      I 369
Wisdom, J.      I 14; II 9
World Geodetic System 1984      I 37
Zimmerwald Observatory      I 408
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