Stability and periodicity in the Sitnikov three-body problem when primaries are oblate spheroids

被引：0

作者：

M. A. Rahman

D. N. Garain

M. R. Hassan

机构：

[1] S. K. M. University,P. G. Department of Mathematics

[2] S. M. College,undefined

来源：

Astrophysics and Space Science | 2015年 / 357卷

关键词：

Sitnikov problem; Oblateness; Iteration of Green’s function; Lindstedt-Poincare method; Series solution; Stability; Poincare section;

D O I：

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摘要：

This paper deals with the effect of oblateness of the primaries of equal masses on the series solutions of the Sitnikov problem of three bodies. Effects of oblateness have also been shown on the stability of libration points and Poincare surface of section. Here series solutions have been developed with the help of iteration process of Green’s function and by the Lindstedt-Poincare method. Following Murray and Dermott (Solar System Dynamics, Cambridge University Press, Cambridge, 1999) we have checked the stability of the equilibrium points in the Sitnikov problem. Periodicity and quasi-periodicity have been examined by drawing the Poincare surfaces of section using the mathematical software.

引用

共 30 条

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