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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2022 Volume 27, Issue 1, Pages 98–121 (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

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.

MSC: 34K17, 34K18, 34K20

Received: 26.03.2021
Accepted: 21.12.2021

Language: English

DOI: 10.1134/S1560354722010099



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© Steklov Math. Inst. of RAS, 2024