形状空间中的三体问题

IF 0.6 4区物理与天体物理 Q4 ASTRONOMY & ASTROPHYSICS

Solar System Research Pub Date : 2025-05-14 DOI:10.1134/S0038094624601877

V. B. Titov

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引用次数: 0

摘要

一般三体问题是在形状空间中考虑的。在这样一个空间中解决这个问题的方法有许多显著的特性。本文给出了三体问题在形状空间中的运动方程，研究了该问题的积分。事实证明，桑德曼不等式是形状空间中能量积分的一个简单结果。在形状空间中考虑了三体问题的周期解，研究了周期解的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Three-Body Problem in Shape Space

The general three-body problem is considered in shape space. Solutions to the problem in such a space have a number of remarkable properties. The paper presents the equations of motion of the three-body problem in shape space, the integrals of the problem are investigated. As it turns out, Sundman’s inequality is a simple consequence of the energy integral in the shape space. The periodic solutions obtained of the three-body problem are considered in shape space, and their properties are studied.

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来源期刊

Solar System Research 地学天文-天文与天体物理

CiteScore

1.60

自引率

33.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Solar System Research publishes articles concerning the bodies of the Solar System, i.e., planets and their satellites, asteroids, comets, meteoric substances, and cosmic dust. The articles consider physics, dynamics and composition of these bodies, and techniques of their exploration. The journal addresses the problems of comparative planetology, physics of the planetary atmospheres and interiors, cosmochemistry, as well as planetary plasma environment and heliosphere, specifically those related to solar-planetary interactions. Attention is paid to studies of exoplanets and complex problems of the origin and evolution of planetary systems including the solar system, based on the results of astronomical observations, laboratory studies of meteorites, relevant theoretical approaches and mathematical modeling. Alongside with the original results of experimental and theoretical studies, the journal publishes scientific reviews in the field of planetary exploration, and notes on observational results.