Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies

被引：48

作者：

Sharma, RK ^{[1
]}

Taqvi, ZA ^{[1
]}

Bhatnagar, KB ^{[1
]}

机构：

[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2001年 / 79卷 / 02期

关键词：

restricted three-body problem; libration points; rigid bodies; stability;

D O I：

10.1023/A:1011168605411

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This paper deals with the stationary solutions of the planar restricted three-body problem when the primaries are triaxial rigid bodies with one of the axes as the axis of symmetry and its equatorial plane coinciding with the plane of motion. It is seen that there are five libration points, two triangular and three collinear. It is further observed that the collinear points are unstable, while the triangular points are stable for the mass parameter 0 less than or equal to mu < mu (crit) (the critical mass parameter). It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of mu.

引用

页码：119 / 133

页数：15

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