Yocelyn Pérez-Rothen, Lucas Rezende Valeriano, Claudio Vidal
{"title":"On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem","authors":"Yocelyn Pérez-Rothen, Lucas Rezende Valeriano, Claudio Vidal","doi":"10.1134/S1560354722010099","DOIUrl":null,"url":null,"abstract":"<div><p>We consider the planar charged restricted elliptic three-body\nproblem (CHRETBP). In this work\nwe consider the parametric stability of the isosceles triangle equilibrium solution denoted by <span>\\(L_{4}^{iso}\\)</span>. We construct the boundary surfaces of the stability/instability regions in the space of the parameters <span>\\(\\mu\\)</span>, <span>\\(\\beta\\)</span> and <span>\\(e\\)</span>, which are parameters of the mass, charges associated to the primaries and the eccentricity of the\nelliptic orbit, respectively.</p></div>","PeriodicalId":752,"journal":{"name":"Regular and Chaotic Dynamics","volume":"27 1","pages":"98 - 121"},"PeriodicalIF":0.8000,"publicationDate":"2022-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Regular and Chaotic Dynamics","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S1560354722010099","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
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.