Methods of Celestial Mechanics: Volume II: Application to Planetary System, Geodynamics and Satellite Geodesy

Etukansi
Springer Science & Business Media, 19.11.2004 - 448 sivua

G. 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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Sisältö

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
Abbreviations and Acronyms
431
Name Index
435
Subject Index
437
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