| 书目名称 | Generating Families in the Restricted Three-Body Problem |
| 副标题 | II. Quantitative Stu |
| 编辑 | Michel Hénon |
| 视频video | |
| 概述 | This is an in-depth study of an important model of a non-integrable Hamiltonian dynamical system.It will certainly trigger a host of interesting future research.Includes supplementary material: |
| 丛书名称 | Lecture Notes in Physics Monographs |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2001 |
| 关键词 | Approximation; Celestial mechanics; Dynamical Systems; Orbital Dynamics; Planetary Science; Space Navigat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-540-44712-1 |
| isbn_softcover | 978-3-662-14517-3 |
| isbn_ebook | 978-3-540-44712-2Series ISSN 0940-7677 |
| issn_series | 0940-7677 |
| copyright | Springer-Verlag Berlin Heidelberg 2001 |
发表于 2025-3-21 16:13:18
