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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 1, Pages 98–121
DOI: https://doi.org/10.1134/S1560354722010099 (Mi rcd1155) 		 
On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem

Yocelyn Péerez-Rothena, Lucas Rezende Valerianob, Claudio Vidala

a Departamento de Matemática, Universidad del Bío-Bío, Casilla 5-C, Concepción, VIII-Región, Chile
b Departamento de Matemática, Universidade Federal de Sergipe, Av. Marechal Rondon, s/n Jardim Rosa Elze, São Cristóvão-SE, Brazil
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DOI: https://doi.org/10.1134/S1560354722010099
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.
Keywords: charged problem, restricted three-body problem, parametric stability.
Received: 26.03.2021
Accepted: 21.12.2021
Bibliographic databases:
Document Type: Article
MSC: 34K17, 34K18, 34K20
Language: English
Citation: Yocelyn Péerez-Rothen, Lucas Rezende Valeriano, Claudio Vidal, “On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem”, Regul. Chaotic Dyn., 27:1 (2022), 98–121
Citation in format AMSBIB
\Bibitem{PerValVid22}
\by Yocelyn P\'eerez-Rothen, Lucas Rezende Valeriano, Claudio Vidal
\paper On the Parametric Stability of the Isosceles Triangular
Libration Points in the Planar Elliptical Charged Restricted
Three-body Problem
\jour Regul. Chaotic Dyn.
\yr 2022
\vol 27
\issue 1
\pages 98--121
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