Stabilization of chaotic behavior in the restricted three-body problem

被引：1
|
作者：
Dzhanoev, Arsen [1 ]
Loskutov, Alexander [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Dept Phys, Moscow 119992, Russia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 10期
关键词：
restricted three-body problem; Sitnikov problem; Melnikov method;
D O I：
10.1142/S0218127407019433
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The restricted three-body problem on the example of a perturbed Sitnikov case is considered. On the basis of the Melnikov method we study a possibility to stabilize the obtained chaotic solutions by two bodies placed in the triangular Lagrange points. It is shown that in this case, in addition to regular and chaotic solutions, there exist stabilized solutions.
引用
收藏
页码：3603 / 3606
页数：4
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