Theory of Orbits

Volume 1: Integrable Systems and Non-perturbative Methods

  • Dino Boccaletti
  • Giuseppe Pucacco

Part of the Astronomy and Astrophysics Library book series (AAL)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Dino Boccaletti, Giuseppe Pucacco
    Pages 1-13
  3. Dino Boccaletti, Giuseppe Pucacco
    Pages 15-124
  4. Dino Boccaletti, Giuseppe Pucacco
    Pages 125-175
  5. Dino Boccaletti, Giuseppe Pucacco
    Pages 177-235
  6. Dino Boccaletti, Giuseppe Pucacco
    Pages 237-299
  7. Dino Boccaletti, Giuseppe Pucacco
    Pages 301-362
  8. Back Matter
    Pages 363-393

About this book

Introduction

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.

Keywords

Celestial mechanics Chaotic motion Orbits Star Stellar dynamics Three-body problem astronomy stellar

Authors and affiliations

  • Dino Boccaletti
    • 1
  • Giuseppe Pucacco
    • 2
  1. 1.Dipartimento di Matematica “Guido Castelnuovo”Università degli Studi di Roma “La Sapienza”RomaItaly
  2. 2.Dipartimento di FisicaUniversità degli Studi di Roma “Tor Vergata”RomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03319-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08210-8
  • Online ISBN 978-3-662-03319-7
  • Series Print ISSN 0941-7834
  • About this book
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