On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2022-02-04 DOI:10.1134/S1560354722010099

Yocelyn Pérez-Rothen, Lucas Rezende Valeriano, Claudio Vidal

引用次数: 0

Abstract

We consider the planar charged restricted elliptic three-body problem (CHRETBP). In this work we consider the parametric stability of the isosceles triangle equilibrium solution denoted by \(L_{4}^{iso}\). We construct the boundary surfaces of the stability/instability regions in the space of the parameters \(\mu\), \(\beta\) and \(e\), which are parameters of the mass, charges associated to the primaries and the eccentricity of the elliptic orbit, respectively.

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平面椭圆带电受限三体问题中等腰三角形振动点的参数稳定性

考虑平面带电受限椭圆三体问题(CHRETBP)。本文考虑等腰三角形平衡解的参数稳定性，用\(L_{4}^{iso}\)表示。我们在参数\(\mu\), \(\beta\)和\(e\)的空间中构造了稳定/不稳定区域的边界面，这些参数分别是质量参数，与初等轨道相关的电荷参数和椭圆轨道的偏心率参数。

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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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.