Methods of Celestial Mechanics: Volume II: Application to Planetary System, Geodynamics and Satellite GeodesyG. Beutler's Methods of Celestial 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. |
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The three programs ERDROT , SATORB and PLASYS are , from the design point of view , key elements for a thorough understanding of the three topics . They are in particular helpful to develop a proper understanding of the order of ...
The Computer - Program ERDROT 9.3 The N - Body Problem Earth - Moon - Sun - Planets 9.4 Space Geodetic and Atmospheric Aspects of Earth Rotation . 382 371 372 376 378 10. The Computer - Program PLASYS 387 11.
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Inhalt
Volume II in Overview | 1 |
Part III Program System | 7 |
The Rotation of Earth and Moon | 13 |
Observational Basis | 16 |
The Rotation of a Rigid Earth and a Rigid Moon | 19 |
The Orbit of the Moon | 20 |
Rotation of the Rigid Earth | 30 |
Rotation of the Moon | 49 |
Development of the Inner Planetary System | 236 |
Minor Planets | 247 |
Development of an Ordinary Minor Planet | 255 |
Proper Elements of Minor Planets | 267 |
Resonance and Chaotic Motion | 269 |
Summary and Concluding Remarks | 293 |
The Program System Celestial Mechanics | 301 |
Installation | 303 |
Rotation of the NonRigid Earth | 60 |
Hookes Law and the Earths Deformations | 64 |
Atmosphere and Oceans | 80 |
The Poincare Earth Model | 96 |
Rotation of Earth and Moon A Summary | 116 |
Artificial Earth Satellites | 121 |
Oblateness Perturbations in the Light of FirstOrder Perturbation Theory | 125 |
Exploitation of the Oblateness Perturbation Characteristics | 140 |
HigherOrder Oblateness Perturbations | 142 |
HigherOrder Terms of the Earth Potential | 144 |
Resonance with Earth Rotation | 146 |
Geostationary Satellites | 147 |
GPS Satellites | 154 |
Perturbations due to the Earths Stationary Gravitational Field in Review | 166 |
FirstOrder General Perturbation Solutions | 168 |
Perturbation Equations in the Argument of Latitude u | 170 |
NonGravitational Forces | 171 |
Atmospheric Drag | 173 |
Density of the Upper Atmosphere | 175 |
Effect of Drag on Satellite Orbits | 178 |
Theoretical Interpretation of Drag Perturbations | 182 |
Radiation Pressure | 186 |
Simulations | 192 |
Theoretical Considerations Concerning Radiation Pressure | 195 |
Radiation Pressure as a Dissipative Force | 198 |
Advanced Modelling for Radiation Pressure | 199 |
Albedo of the Earth | 204 |
Comparison of Perturbations Acting on Artificial Earth Satellites | 205 |
Evolution of the Planetary System | 209 |
Development of the Outer Planetary System | 210 |
The Orbit of Jupiter Over Short Time Spans | 211 |
The Integration over Two Million Years in Overview | 214 |
Some Results from Spectral Analysis | 229 |
Running a Program | 304 |
Visualizing the Results | 306 |
The ComputerPrograms NUMINT and LINEAR | 309 |
The Use of Program NUMINT to Generate Hill Surfaces | 317 |
Program LINEAR | 319 |
The ComputerPrograms SATORB and LEOKIN | 321 |
Generation of Satellite Ephemerides | 322 |
Determination of Orbits Using Astrometric Positions | 326 |
Determination of GPS and GLONASS Orbits | 331 |
Kinematic LEO Orbits Program LEOKIN | 338 |
Dynamic and Reduced Dynamics LEO Orbits Using Program SATORB | 345 |
The ComputerProgram ORBDET | 353 |
Orbit Determination as a Boundary Value Problem | 360 |
Determination of a Circular Orbit | 365 |
The ComputerProgram ERDROT | 369 |
Earth Rotation | 370 |
Rotation of the Moon | 374 |
The ATBody Problem EarthMoonSunPlanets | 376 |
Space Geodetic and Atmospheric Aspects of Earth Rotation | 380 |
The ComputerProgram PLASYS | 385 |
Elements of Spectral Analysis and the ComputerProgram FOURIER | 393 |
Harmonic Analysis Using Least Squares Techniques | 395 |
Classical Discrete Fourier Analysis | 398 |
Amplitude Spectra and Power Spectra | 400 |
Fast Fourier Analysis | 401 |
Prograde and Retrograde Motions of Vectors | 406 |
The Computer Program FOURIER | 408 |
Examples | 415 |
References | 423 |
431 | |
Name Index | 435 |
437 | |
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Methods of Celestial Mechanics: Volume II: Application to Planetary System ... Gerhard Beutler Eingeschränkte Leseprobe - 2006 |
Methods of Celestial Mechanics: Volume II: Application to Planetary System ... Gerhard Beutler Keine Leseprobe verfügbar - 2004 |