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

Author: Gerhard Beutler
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
Series: Astronomy and astrophysics library
Edition/Format:   eBook : Document : English
Summary:
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  Read more...
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Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gerhard Beutler
ISBN: 3540268707 9783540268703
OCLC Number: 1066533098
Description: 1 online resource (XVI, 466 p.) online resource.
Contents: 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.
Series Title: Astronomy and astrophysics library
Other Titles: In cooperation with Prof. Leos Mervart and Dr. Andreas Verdun
Responsibility: by Gerhard Beutler.
More information:

Abstract:

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 considerable detail. Numerical methods, especially for orbit determination and orbit improvement, are discussed in considerable depth. The algorithms may be easily applied to objects of the planetary system and to Earth satellites and space debris.

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