Generating families in the restricted three-body problem / Michel Henon
- 作者： Henon, Michel.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： Berlin ;New York : Springer-Verlag c1997
- 叢書名： Lecture notes in physics.. New series m, Monographs ,m52
- 主題： Celestial mechanics. , Bifurcation theory. , Artificial satellites--Orbits. , Three-body problem.
- ISBN： 9783540638025 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005166584 | 機讀編目格式
館藏資訊
The classical three-body problem is of great 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. Here the author explains and organizes 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. Many cases are distinguished and studied separately and detailed recipies are given. Their use is illustrated by determining generating families, and comparing them with numerical computations for the Earth+Moon and Sun-Jupiter systems.