3-Body problem in GR

被引：0

作者：

Chiba, Takamasa Chiba ^{[1
]}

Imai, Tatsunori Imai ^{[1
]}

Asada, Hideki Asada ^{[1
]}

机构：

[1] Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan

来源：

Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 | 2006年

关键词：

Gravitation;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a 3-body problem in general relativity. It is impossible to describe all the solutions to the three-body problem even for the 1/r potential. For the Newtonian gravity, a special solution was found firstly by Moore (1995) and re-discovered with a rigorous proof by mathematicians Chenciner and Montgomery (2000). This solution is that three massive particles chase each other in a figure-eight orbit. We try to find out a figure-eight orbit of three masses by taking account of the post-Newtonian corrections. In a 2-body system, the post-Newtonian corrections cause the famous periastron shift. Therefore, we investigate whether or not the periastron shift appears in our post-Newtonian 3-body system.

引用

页码：231 / 234

共 50 条

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[10] EULER 3-BODY PROBLEM
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