Lecture Notes in Physics Monographs

Generating Families in the Restricted Three-Body Problem

II. Quantitative Study of Bifurcations

Authors: Henon, Michel

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About this book

The classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which many have been computed numerically. This is the second volume of an attempt to explain and organize the material through a systematic study of generating families, the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. We use quantitative analysis in the vicinity of bifurcations of types 1 and 2. In most cases the junctions between branches can now be determined. A first-order approximation of families of periodic orbits in the vicinity of a bifurcation is also obtained. This book is intended for scientists and students interested in the restricted problem, in its applications to astronomy and space research, and in the theory of dynamical systems.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-540-44712-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-540-41733-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $109.99
price for USA in USD
  • ISBN 978-3-662-14517-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Generating Families in the Restricted Three-Body Problem
Book Subtitle
II. Quantitative Study of Bifurcations
Authors
Series Title
Lecture Notes in Physics Monographs
Series Volume
65
Copyright
2001
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44712-2
DOI
10.1007/3-540-44712-1
Hardcover ISBN
978-3-540-41733-0
Softcover ISBN
978-3-662-14517-3
Series ISSN
0940-7677
Edition Number
1
Number of Pages
XII, 304
Topics