On the bounded symmetrical motions in the three-body problem

Stepan P. Sosnitskii

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On the bounded symmetrical motions in the three-body problem

机译：关于三体问题的有界对称运动

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摘要

We study a special case of the three-body problem where two bodies are the same mass and there is a manifold of symmetrical motions. We find conditions of existence of bounded symmetric motions. To analyze stability, we substantially rely on the structure of the manifold of symmetric motions and use integrals of energy and angular momentum.

机译：我们研究了三体问题的一个特例，其中两个物体的质量相同，并且存在多个对称运动。我们找到有界对称运动存在的条件。为了分析稳定性，我们主要依靠对称运动的流形结构，并使用能量和角动量的积分。

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来源
《International journal of non-linear mechanics》 |2014年第12期|34-38|共5页
作者
Stepan P. Sosnitskii;
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作者单位

Institute of Mathematics of Ukrainian National Academy of Sciences, Tereshchenkivs'ka str 3, 01601 MSP, Kyiv-4, Ukraine;

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原文格式 PDF
正文语种 eng
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关键词
Symmetrical motion; A Hill stable pair; Distal motion; Bounded motion;

机译：对称运动一对山马stable;远端运动;有界运动;

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On the bounded symmetrical motions in the three-body problem

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