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
收藏
页码：285 / 318
页数：34
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