Generating families in the restricted three-body problem.. Pt. 2, Quantitative study of bifurcations / Michel Henon
- 作者： Henon, Michel.
- 其他作者：
- 其他題名：
- Springer e-books
- Quantitative study of bifurcations
- 出版： New York : Springer c2001
- 叢書名： Lecture notes in physics. Monographs ,m65
- 主題： Three-body problem. , Differentiable dynamical systems. , Celestial mechanics. , Artificial satellites--Orbits.
- ISBN： 9783540417330 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005167995 | 機讀編目格式
館藏資訊
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.