Keplerian periodic orbits in the isosceles problem

被引：0

作者：

Alfaro, M ^{[1
]}

Monleón, CC ^{[1
]}

机构：

[1] Univ Valencia, Fac Matemat, Dept Matemat Aplicada, E-46003 Valencia, Spain

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1999年 / 75卷 / 01期

关键词：

isosceles three-body problem; periodic orbits; analytic continuation;

D O I：

10.1023/A:1008310812509

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The planar isosceles three-body problem where the two symmetric bodies have small masses is considered as a perturbation of the Kepler problem. We prove that the circular orbits can be continued to saddle orbits of the Isosceles problem. This continuation is not possible in the elliptic case. Their perturbed orbits tend to a continued circular one or approach a triple collision. The basic tool used is the study of the Poincare maps associated with the periodic solutions.

引用

页码：17 / 27

页数：11

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