Periodic orbits of the restricted three-body problem

被引：11
|
作者：
Mathlouthi, S [1 ]
机构：
[1] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 06期
关键词：
D O I：
10.1090/S0002-9947-98-01731-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove, using a variational formulation, the existence of an infinity of periodic solutions of the restricted three-body problem. When the problem has some additional symmetry tin particular, in the autonomous case), we prove the existence of at least two periodic solutions of minimal period T, for every T > 0. We also study the bifurcation problem in a neighborhood of each closed orbit of the autonomous restricted three-body problem.
引用
收藏
页码：2265 / 2276
页数：12
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