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