|
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.
Received: 26.03.2021 Accepted: 21.12.2021
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
Linking options:
https://www.mathnet.ru/eng/rcd1155 https://www.mathnet.ru/eng/rcd/v27/i1/p98
|
Statistics & downloads: |
Abstract page: | 75 | References: | 25 |
|