Generating families in the restricted three-body problem
by Michel Hénon and Michel Henon
The classical restricted problem of three bodies is of fundamental importance for its applications to 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 a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case.
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| Edition | Availability |
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1
Generating Families in the Restricted Three-Body Problem: II. Quantitative Study of Bifurcations
Oct 03, 2013, Springer
paperback
3662145170 9783662145173
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2
Generating Families in the Restricted Three-Body Problem
Oct 03, 2013, Springer
paperback
3662141566 9783662141564
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3
Generating Families in the Restricted Three-Body Problem: II. Quantitative Study of Bifurcations
2003, Springer London, Limited
in English
3540447121 9783540447122
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4
Generating Families in the Restricted Three-Body Problem
2003, Springer London, Limited
in English
3540696504 9783540696506
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5
Generating Families in the Restricted Three-Body Problem: II. Quantitative Study of Bifurcations (Lecture Notes in Physics)
May 18, 2001, Springer
Hardcover
in English
- 1 edition
3540417338 9783540417330
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6
Generating families in the restricted three-body problem
1997, Springer-Verlag, Springer
in English
3540638024 9783540638025
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