New families of periodic orbits in Hill's problem of three bodies

被引：83

作者：

Hénon, M ^{[1
]}

机构：

[1] Observ Cote Azur, CNRS, F-06304 Nice 4, France

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2003年 / 85卷 / 03期

关键词：

Hill's problem; periodic orbits; second species families; numerical integration;

D O I：

10.1023/A:1022518422926

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The search for symmetric periodic solutions of Hill's problem, begun in Henon (1996) for simple-periodic orbits, is extended to double- and triple-periodic orbits. Seven new families are found. We also complete the description of family g(3), begun in Henon (1970). In all of these families, both ends consist of orbits of increasing dimensions with Gamma --> -infinity. They can be continued into second species families, which are identified.

引用

页码：223 / 246

页数：24