Restricted three-body problem when one of the primaries is an ellipsoid

被引：18

作者：

Idrisi, M. Javed ^{[1
]}

Taqvi, Z. A. ^{[1
]}

机构：

[1] Al Falah Sch Engn & Technol, Dept Appl Sci & Humanities, Faridabad 121004, Haryana, India

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2013年 / 348卷 / 01期

关键词：

Restricted three-body problem; Libration points; Linear stability; Elliptic integrals; TRIANGULAR POINTS; LIBRATION POINTS; PERIODIC-ORBITS; 3; BODY; STABILITY; OBLATENESS; RADIATION; EXISTENCE;

D O I：

10.1007/s10509-013-1534-y

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

This paper deals with the existence and the stability of the libration points in the restricted three-body problem when the smaller primary is an ellipsoid. We have determined the equations of motion of the infinitesimal mass which involves elliptic integrals and then we have investigated the collinear and non collinear libration points and their stability. This is observed that there exist five collinear libration points and the non collinear libration points are lying on the arc of the unit circle whose centre is the bigger primary. Further observed that the libration points either collinear or non-collinear all are unstable.

引用

页码：41 / 56

页数：16

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