关于摄动二、三体问题的周期轨道

IF 3.2 Q2 ASTRONOMY & ASTROPHYSICS

Galaxies Pub Date : 2023-04-18 DOI:10.3390/galaxies11020058

Elbaz I. Abouelmagd, J. L. Guirao, J. Llibre

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引用次数: 0

摘要

在这项工作中，当扰动力与两个原物体的相应平均运动是守恒的时，导出了受限三体问题的扰动系统。因此，我们证明了当扰动力是守恒的或扰动运动具有自己的扩展Jacobian积分时，旋转Kepler问题的第一类和第二类周期轨道可以持续存在于所有受扰动的三体和圆约束的三体问题。

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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On the Periodic Orbits of the Perturbed Two- and Three-Body Problems

In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can persist for all perturbed two-body and circular restricted three-body problems when the perturbation forces are conservative or the perturbed motion has its own extended Jacobian integral.

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来源期刊

Galaxies Physics and Astronomy-Astronomy and Astrophysics

CiteScore

4.90

自引率

12.00%

发文量

100

审稿时长

11 weeks

期刊介绍： Es una revista internacional de acceso abierto revisada por pares que proporciona un foro avanzado para estudios relacionados con astronomía, astrofísica y cosmología. Areas temáticas Astronomía Astrofísica Cosmología Astronomía observacional: radio, infrarrojo, óptico, rayos X, neutrino, etc. Ciencia planetaria Equipos y tecnologías de astronomía. Ingeniería Aeroespacial Análisis de datos astronómicos. Astroquímica y Astrobiología. Arqueoastronomía Historia de la astronomía y cosmología. Problemas filosóficos en cosmología.