Astronomy and Astrophysics Library

Theory of Orbits

Volume 1: Integrable Systems and Non-perturbative Methods

Authors: Boccaletti, Dino, Pucacco, Prof. Giuseppe

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  • ISBN 978-3-662-03319-7
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About this Textbook

This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first volume begins with classical mechanics and with a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. They end with a final chapter on integrability of Hamilton-Jacobi systems and the search for constants of motion.

Reviews

From the reviews
"The book is ... didactically written and contains topics from classical to most modern ones, treated rigorously by indicating where complete proofs are to be found."
Zentralblatt für Mathematik, 1999

Table of contents (6 chapters)

  • Introduction — The Theory of Orbits from Epicycles to “Chaos”

    Boccaletti, Dino (et al.)

    Pages 1-13

  • Dynamics and Dynamical Systems — Quod Satis

    Boccaletti, Dino (et al.)

    Pages 15-124

  • The Two-Body Problem

    Boccaletti, Dino (et al.)

    Pages 125-175

  • The N-Body Problem

    Boccaletti, Dino (et al.)

    Pages 177-235

  • The Three-Body Problem

    Boccaletti, Dino (et al.)

    Pages 237-299

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-662-03319-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-540-58963-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-3-642-08210-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Theory of Orbits
Book Subtitle
Volume 1: Integrable Systems and Non-perturbative Methods
Authors
Series Title
Astronomy and Astrophysics Library
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03319-7
DOI
10.1007/978-3-662-03319-7
Hardcover ISBN
978-3-540-58963-1
Softcover ISBN
978-3-642-08210-8
Series ISSN
0941-7834
Edition Number
1
Number of Pages
XIII, 392
Topics