Periodic orbits of the Sitnikov problem via a Poincare map

被引：39

作者：

Corbera, M

Llibre, J

机构：

[1] Univ Vic, Escola Politecn Super, Dept Fis & Matemat Aplicades, Barcelona 08500, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2000年 / 77卷 / 04期

关键词：

Sitnikov motions; periodic orbits; Poincare map; symmetric periodic orbits;

D O I：

10.1023/A:1011117003713

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper by means of a Poincare map, we prove the existence of symmetric periodic orbits of the elliptic Sitnikov problem. Furthermore, using the presence of the Bernoulli shift as a subsystem of that Poincare map, we prove that not all the periodic orbits of the Sitnikov problem are symmetric periodic orbits.

引用

页码：273 / 303

页数：31

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