Relative equilibrium in the three-body problem with a rigid body

被引：2

作者：

Fanny, C ^{[1
]}

Badaoui, E ^{[1
]}

机构：

[1] Univ Paris 06, UFR Mecan, Modelisat Mecan Lab, F-75230 Paris 05, France

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1997年 / 69卷 / 03期

关键词：

relative equilibrium; three-body problem; rigid body; oblate ball; elongated ball;

D O I：

10.1023/A:1008225105537

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In the three-body problem, where two bodies are punctual and the third is rigid, we prove the existence of some relative equilibrium configurations where the rigid body is either an homogeneous ball, an oblate or an elongated ball. In particular, we found conditions of relative equilibrium of Euler and Lagrange type and several families of relative equilibrium configurations, where the triangle of the two punctual bodies and the mass center of the rigid body is isosceles or having unequal sides.

引用

页码：293 / 315

页数：23

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