Astronomy and Astrophysics Library

Methods of Celestial Mechanics

Volume I: Physical, Mathematical, and Numerical Principles

Authors: Beutler, Gerhard

  • Paperback edition of this successful graduate textbook
  • Gives a detailed introduction into the theoretical concepts of celestial mechanics as used in planetary sciences and satellite navigation
  • Addresses numerical techniques and GPS navigation
  • G. Beutler is an internationally known expert
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eBook $79.99
price for USA (gross)
  • ISBN 978-3-540-26870-3
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  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-3-642-14857-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Table of contents (2 chapters)

  • Numerical Solution of Ordinary Differential Equations: Principles and Concepts

    Pages 253-354

  • Orbit Determination and Parameter Estimation

    Pages 355-440

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-540-26870-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-3-642-14857-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Methods of Celestial Mechanics
Book Subtitle
Volume I: Physical, Mathematical, and Numerical Principles
Authors
Series Title
Astronomy and Astrophysics Library
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-26870-3
DOI
10.1007/b138225
Softcover ISBN
978-3-642-14857-6
Series ISSN
0941-7834
Edition Number
1
Number of Pages
XVI, 466
Topics