The Post-Newtonian Hill Problem

被引：1
|
作者：
Steklain Lisboa, A. F. [1 ]
Letelier, P. S.
机构：
[1] Univ Tecnol Fed Parana, Dept Matemat, BR-80230901 Curitiba, Parana, Brazil
来源：
2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES 2013 (IC-MSQUARE 2013) | 2014年 / 490卷
基金：
巴西圣保罗研究基金会;
关键词：
D O I：
10.1088/1742-6596/490/1/012156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A relativistic approach of the Hill Problem is presented by using an approximate binary system metric obtained from the first post-Newtonian expansion (1PN). We employ Poincare maps and Lyapunov exponents to study the stability of bounded orbits of the system for different mass arrangements, and compare with the classical problem based on Newtonian dynamics. We find that for larger masses the system become totally stable, a striking behaviour that is not predicted by the Newtonian dynamics.
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页数：4
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