On the stability of the planar n + 1 ring body problem with quasi-homogeneous potentials
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Autores: Mercedes Arribas Jiménez
, Antonio Elipe Sánchez , Manuel Pedro Palacios Latasa
- Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 35, 2011, págs. 13-20
- Idioma: inglés
- Enlaces
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Resumen
In a previous work we analyzed the linear stability of the planar n+1 ring body problem where the potential of the central body is a Manev’s type potential. By introducing a perturbation parameter (ǫ0) to the Newtonian potential associated with the central primary, we showed that unstable cases for the unperturbed problem, as n ≤ 6, may become stable for some values of the perturbation.
The purpose of this paper is to study the possibility of increasing the range of values of the mass parameter (μ = m/m0) and the parameter ǫ0 that let stable the configuration. For that, we introduce a second perturbation term (with parameter ǫ1) to the Newtonian potential of the bodies in the ring. We show some results for different values of the parameters.
