Application of the Gauss' Method to the Stellar Three Body Problem

被引：0
|
作者：
A. Abad
F. Belizón
机构：
[1] Universidad de Zaragoza,Grupo de Mecánica Espacial
[2] Real Observatorio de la Armada,undefined
来源：
Celestial Mechanics and Dynamical Astronomy | 1997年 / 68卷
关键词：
Three body problem; Multiple stars; Elliptic integrals;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we deal with the stellar three body problem, that is one star is far away from the other two stars. The outer orbit is assumed to be Keplerian. To analyze the effect of the distant star on the orbit of the close stars, we use the Gauss method; this method consist in replacing the gravitational attraction of the third star by the gravitational attraction of an infinitesimal non-homogeneous elliptic ring. We obtain the force vector for the Gauss method in terms of elliptic integrals. Finally we compare the results obtained by this model with the classical third body model.
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页码：43 / 51
页数：8
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