The motion of Saturn coorbital satellites in the restricted three-body problem

被引：30

作者：

Llibre, J

Ollé, M

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

[2] Univ Politecn Catalunya, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain

来源：

ASTRONOMY & ASTROPHYSICS | 2001年 / 378卷 / 03期

关键词：

celestial mechanics; planets and satellites; solar system;

D O I：

10.1051/0004-6361:20011274

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus by means of horseshoe periodic orbits in the framework of the planar restricted three-body problem for the mass parameter mu = 3.5 X 10(- 9). The mechanism of existence of such orbits for any value of mu > 0 and the Jacobi constant C close to C(L-3), L-3 being an adequate collinear equilibrium point, is analyzed from two different points of view and a systematic way to compute the horseshoe periodic orbits is also described.

引用

页码：1087 / 1099

页数：13

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