New Families of Periodic Orbits in Hill's Problem of Three Bodies

被引：0

作者：

Michel Hénon

机构：

[1] C.N.R.S.,

[2] Observatoire de la Côte d'Azur,undefined

[3] B.P. 4229,undefined

来源：

Celestial Mechanics and Dynamical Astronomy | 2003年 / 85卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The search for symmetric periodic solutions of Hill's problem, begun in Hénon (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 g3, begun in Hénon (1970). In all of these families, both ends consist of orbits of increasing dimensions with Γ → −∞. They can be continued into second species families, which are identified.

引用

页码：223 / 246

页数：23

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