| 书目名称 | Generating Families in the Restricted Three-Body Problem |
| 编辑 | Michel Hénon |
| 视频video | |
| 概述 | The first classification of the orbit structure of a seemingly non-integrable system in every detail |
| 丛书名称 | Lecture Notes in Physics Monographs |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 1997 |
| 关键词 | astronomy; bifurcation; dynamical systems; three-body problem |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-540-69650-4 |
| isbn_softcover | 978-3-662-14156-4 |
| isbn_ebook | 978-3-540-69650-6Series ISSN 0940-7677 |
| issn_series | 0940-7677 |
| copyright | Springer-Verlag Berlin Heidelberg 1997 |
发表于 2025-3-21 18:49:54
