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

Couverture
Springer Science & Business Media, 18 nov. 2004 - 466 pages
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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Table des matières

Overview of the Work
3
The ComputerProgram ERDROT
9
Historical Background
19
The Equations of Motion
45
The Two and the ThreeBody Problems 123
122
Variational Equations
175
Theory of Perturbations
209
Numerical Solution of Ordinary Differential
252
Orbit Determination and Parameter Estimation
355
References
441
Abbreviations and Acronyms
449
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