Methods of Celestial Mechanics : Volume I: Physical, Mathematical, and Numerical Principles. 1st ed. 2005

種類:

電子ブック

責任表示:

by Gerhard Beutler

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005

著者名:

• Beutler, Gerhard.
• SpringerLink (Online service)

シリーズ名:

Astronomy and Astrophysics Library ;

ISBN:

9783540268703 [3540268707]    

注記:

Physical, Mathematical, and Numerical Principles -- Overview of the Work -- Historical Background -- The Equations of Motion -- The Two- and the Three-Body Problems -- Variational Equations -- Theory of Perturbations -- Numerical Solution of Ordinary Differential Equations: Principles and Concepts -- Orbit Determination and Parameter Estimation.
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. After a brief review of the history of celestial mechanics, the equations of motion (Newtonian and relativistic versions) are developed for planetary systems (N-body-problem), for artificial Earth satellites, and for extended bodies (which includes the problem of Earth and lunar rotation). Perturbation theory is outlined in an elementary way from generally known mathematical principles without making use of the advanced tools of analytical mechanics. The variational equations associated with orbital motion - of fundamental importance for parameter estimation (e.g., orbit determination), numerical error propagation, and stability considerations - are introduced and their properties discussed in

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