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Beutler G. — Methods of Celestial Mechanics: Volume I: Physical, Mathematical, and Numerical Principles |
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Предметный указатель |
Aberration, annual I 363
Aberration, diurnal I 363
accelerometers I 41; II 83 174
Adams, J.C. I 29
Albedo radiation pressure II 175 206 327 330
Altimetry I 40 412; 194
Amplitude spectrum II 402
Angular momentum functions II 84
Angular momentum, point masses I 57
Angular momentum, Solid body I 69; II 37
Angular velocity vector I 66; II 15 17 32 37 51 55 56 85 100 102 113
Annual equation II 31
Anomaly, eccentric I 133 138
Anomaly, equation I 134
Anomaly, mean I 134 138
Anomaly, true I 133 138
Apollo missions II 19
Apparent place I 363
Approximation errors I 292 331
Area-to-mass ratio II 173 194 201 327
Argument of latitude I 125 132 220 225 231 371; 133 135 157 170 172 204
Artificial Earth satellites I 11; II 3 6
Artificial Earth satellites, Anomalistic period II 140
Artificial Earth satellites, Draconitic period II 140
Artificial Earth satellites, Sidereal period II 140
Artificial Earth satellites, Typical perturbations (GPS) II 209
Artificial Earth satellites, Typical perturbations (LEOs) II 208
Asteroids II 249
Astrometric position I 7 33 361 363—366
Atmospheric angular momentum I 10; II 6
Atmospheric drag II 7 173 175—187
Atomic time I 47 117
Attitude of a satellite I 96 111—117
Attitude stabilization I 114
Axial angular momentum function II 85
Barometric formula II 177
Barycentric dynamical time I 47 117
Bernese GPS Software II 303
Bessel, F.W. I 325
Bode, J.E. I 27
Body of negligible mass I 54; II 211
Body-fixed system I 64 78
Bradley, J. II 200
Brahe, T. I 19; II 31
Brouwer, D. I 340
Brown, E.W. II 25
Bruns, H. I 59
Cartesian coordinate system I 46 48
Cartesian product I 183 354
Cassini, G.D. II 51
Center of mass, Earth I 412; II 123
Center of mass, Earth-Moon I 48 371;
Center of mass, Point masses I 56 152
Center of mass, Satellite I 426
Center of mass, Solid body I 64
CHAMP I 41 423;
Chandler period I 10 418; 63
Chandler, S.C. I 418; II 63
Charge coupled device I 7 29 358 396
Chebyshew, P.L. I 326
Chiron I 30; II 250
Clairaut, A.-C. I 25 150;
Climate II 8 248
Collocation method I 7 255 376 389 403; 193 272 281 285
Commensurability in probleme restreint I 173
Commensurability of revolution periods II 271
Commensurability of revolution periods, Earth-Venus II 239
Commensurability of revolution periods, Jupiter-Saturn II 213 238
Commensurability of revolution periods, Minor planet-Jupiter II 256
Commensurability of revolution periods, Neptune-Pluto II 218
Commensurability of revolution periods, Uranus-Neptune II 236
Commensurability of satellite revolution period with sidereal day II 148
Computer program, ERDROT I 17; II 4 12 18 371—385
Computer program, FOURIER I 17; II 8 13 410—422
Computer program, LEOKIN I 16; II 12 340—347
Computer program, LINEAR I 15 255 324; 321—322
Computer program, NUMINT I 15 255 263; 311—320
Computer program, ORBDET I 16 365 396; 355—370
Computer program, PLASYS I 17 145 174 255; 8 12 387—393
Computer program, SATORB I 15 145 403; 6 11 123 323—340 347—353
Conic sections I 128
Conjunction of planets II 213
Constant of gravitation (Astr) I 48
Constant of gravitation (SI) I 48; II 15
Continental drift II 63
Cooley, J.W. II 396
Coordinate frame I 49
Coordinate system I 49
Copernicus, N. I 20
Correlation of VLBI signals II 21
Cosmic geodesy I 31
Critical inclination II 126 138
d'Alembert, J.L.R. I 25; II 24
Danielson, G.C. II 396
de Laplace, P.S. I 25; II 155 216
Definite integral I 320
Deformation of a celestial body I 92
Deformation of the Earth II 66 68 69 77 121
Delaunay, C.E. II 94
Density of atmosphere II 177
Descartes, R. I 46
Deterministic chaos I 26; II 274
Development of perturbation function I 242
Direct perturbation term I 55
Discoveries in Celestial Mechanics I 27
Doodson variables II 94
Doodson, A.T. II 94
Doppler observations I 32
DORIS system I 40
Draconitic month II 23
Drag perturbations, Eccentricity II 186
Drag perturbations, Perigee and apogee II 187
Drag perturbations, Semi-major axis II 186
Earth orientation parameters II 18
Earth rotation (non-rigid) II 62—118
Earth rotation (non-rigid), Atmosphere and oceans II 82
Earth rotation (non-rigid), Deformations II 68
Earth rotation (non-rigid), Lunisolar tides II 74
Earth rotation (non-rigid), Poincare Earth model II 98
Earth rotation (non-rigid), Poincare equations for Earth rotation II 107
Earth rotation (non-rigid), Polar tides II 69
Earth rotation (non-rigid), Proofs for non-rigidity II 62
Earth rotation (rigid) II 32—51
Earth rotation (rigid), Angular velocity II 36
Earth rotation (rigid), Forced motion II 40
Earth rotation (rigid), Free motion II 32
Earth rotation (rigid), Free polar motion II 32
Earth rotation (rigid), Nearly diurnal period II 39
Earth rotation (rigid), Nutation II 43
Earth rotation (rigid), Oppolzer motion II 41 50
Earth rotation (rigid), Precession II 43
Earth rotation parameters II 18
Earth's angular momentum vector II 35
Earth's angular velocity vector II 35
Earth's figure axis II 35
Earth's gravity model I 108
Earth's potential function I 101
Earth, angular velocity II 15
Earth, core II 99
Earth, Core flattening II 99
Earth, Core mass II 99
Earth, Core moments of inertia II 99
Earth, Core-mantle boundary II 99
Earth, Crust II 99
Earth, Elastic mantle II 99
Earth, equatorial radius II 15
Earth, flattening II 15
Earth, Flattening (dynamical) II 15
Earth, Form factor II 15
Earth, Gravity field I 362
| Earth, length of day II 15
Earth, Liquid outer core II 99
Earth, Love numbers II 15
Earth, Mantle II 99
Earth, mass II 15
Earth, Mean distance to Sun II 15
Earth, Moments of inertia II 15
Earth, Oblateness II 6
Earth, Permanent deformation II 68
Earth, polar radius II 15
Earth, Polar tides II 69
Earth, Solid inner core II 99
Eclipse year II 23
Ecliptic I 50
Edgeworth — Kuiper belt I 13 30 392 396; 250 296 363
Edgeworth, K. II 250
Effective angular momentum functions II 89
Einstein, A. I 29
Encke's method I 6 211
Encke, J.F. I 211
Ephemerides I 356
Ephemeris Time I 31 46
Equation of the Center II 30
Equations of motion I 3 45—122
Equations of motion, Artificial satellites I 96—117
Equations of motion, Planetary system I 51—55
Equations of motion, Relativistic version I 117—121
Equations of motion, Rotation of a planet I 71—95
Equatorial angular momentum functions II 85
Error propagation, Approximation error I 348
Error propagation, Floating point numbers I 332
Error propagation, General law I 350
Error propagation, Local approximation error I 341
Error propagation, Local rounding errors I 334
Error propagation, Rounding errors in anomaly I 337
Error propagation, Rounding errors in integrals I 336
Error propagation, Rule of thumb I 350
Euler angles I 64; II 37 41 53 107
Euler angles (satellite attitude) I 113
Euler equations, Earth rotation I 89
Euler equations, Rotation of Moon I 89
Euler period I 10; II 5 36 63
Euler's kinematic equations I 66 68
Euler's method for numerical integration I 7 254 259
Euler, L. I 23 150 163;
European Center for Medium-Range Weather Forecasts II 82
European Space Agency II 155
Evection II 31
Excess length of day II 18
Exosphere II 179
Families of minor planets II 256
Fast Fourier transformation I 17; II 13 395 403
Fictitious masses I 153
Figure axis I 70
First integrals I 55
First integrals, Angular momentum I 57
First integrals, Center of mass I 56
First integrals, Energy I 58
First integrals, Planetary system I 55—61
First orbit determination I 8 28 361 366;
First-order perturbations I 240
Floating point numbers I 332
Force function I 55
Fourier analysis II 395
Fourier analysis, Amplitude spectrum II 402
Fourier analysis, Coefficients II 397
Fourier analysis, Fast Fourier transformation II 403
Fourier analysis, Fourier series II 396
Fourier analysis, Fundamental frequency II 396
Fourier analysis, Fundamental period II 396
Fourier analysis, Lemma by Danielson and Lanczos II 406
Fourier analysis, Observation equations II 397
Fourier analysis, Power spectral density II 403
Fourier analysis, Power spectrum II 402
Fourier analysis, Prograde and retrograde motion II 408
Fourier analysis, Strategy depth II 407
Fourier analysis, Zero padding II 407
Fourier coefficients II 397
Fourier series II 396
Fourier transformation I 17; II 13 395 400
Fourier, J.B.F. II 395
Fourier, J.B.J. I 17; II 13
Free core nutation II 6 115
Fundamental arguments of nutation II 94
Fundamental equation of first orbit determination I 390
Fundamental law of error propagation I 207 351 352
Galilei transformation I 52
Galilei, G. I 52
Galle, J.G. I 29
Gauss, C.F. I 28; II 131
Gaussian constant I 48
Gaussian perturbation equations I 210 230
Gaussian quadrature I 255; II 4
General perturbations I 210
Geodetic astronomy I 31
geoid I 412
Geostationary satellites I 12; II 130 142 149—155
Geostationary satellites, Development of orbital pole II 153
Geostationary satellites, Equation for longitude II 152
Geostationary satellites, Perturbation in longitude II 149
Geostationary satellites, Perturbation of semi-major axis II 149
Global Positioning System I 32 36;
Global Positioning System, Code observations I 38
Global Positioning System, Constellation I 37
Global Positioning System, Double difference processing I 416 428
Global Positioning System, Observation equations I 414 416
Global Positioning System, Occultation technique I 42
Global Positioning System, Orbit characteristics II 194
Global Positioning System, Orbital manoeuvres II 158
Global Positioning System, Phase observations I 38
Global Positioning System, Precise point positioning I 425
Global Positioning System, Satellite I 12 37
Global Positioning System, Satellite characteristics II 194
Global Positioning System, Satellite, schematic view I 96
Global Positioning System, Spaceborne receivers I 41
Global Positioning System, Zero difference processing I 427
GOCE I 41; II 83
GPS perturbations II 156—168
GPS perturbations, Equation for resonant argument II 163
GPS perturbations, Examples II 149
GPS perturbations, Heuristic explanation of resonant perturbations II 156
GPS perturbations, Mean vs. shallow resonance II 161
GPS perturbations, Periods of resonant perturbations II 167
GPS/MET I 423
Grace I 41; II 83
Gravitational constant I 25
Gravitational deflection of light I 363
Gravity potential I 102; II 68
Gravity stabilization I 116
Great inequality I 246; II 216 235
Harmonic analysis II 395
Harmonic functions I 102
Hecuba gap II 254 275 283
Heliocentric reference frame I 53
Heliocentric vector I 52
Herschel, J.F.W. I 27
Hilda group I 14; II 9 253 275
Hilda group, Histogram of conjunctions II 283
Hilda group, Initial state II 277
Hilda group, Ljapunov characteristic exponents II 279 281
Hill Surfaces I 160
Hill, G.W. I 26 160;
Hipparchus I 34; II 30
HIPPARCOS mission I 34
Hirayama, K. I 30; II 256
History of Celestial Mechanics, Planetary system I 19—30
History of Celestial Mechanics, Space geodesy I 31—42
Homosphere II 179
Hooke's law I 10; II 5 66—68
Hooke, R. I 25; II 66
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