Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three-Body Problem

被引：25

作者：

Capinski, Maciej J. ^{[1
]}

Roldan, Pablo ^{[2
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[2] ETSEIB UPC, Dept Matemat Aplicada 1, Barcelona 08028, Spain

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2012年 / 11卷 / 01期

关键词：

center manifolds; normal forms; celestial mechanics; restricted three-body problem; covering relations; cone conditions; COVERING RELATIONS; SCATTERING MAP;

D O I：

10.1137/100810381

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a method of proving existence of center manifolds within specified domains. The method is based on a combination of topological tools, normal forms, and rigorous computer-assisted computations. We apply our method to obtain a proof of a center manifold in an explicit region around the equilibrium point L-1 in the Earth-Sun planar restricted circular three-body problem.

引用

页码：285 / 318

页数：34

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