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This article is cited in 9 scientific papers (total in 9 papers)
Parametric Stability in Robe's Problem
Lucas Rezende Valeriano Departamento de Matemática, Universidade Federal de Sergipe, Cidade Universitária Prof. José Aloísio de Campos, São Cristóvão, SE, Brasil
Abstract:
In this work we have given a Hamiltonian formulation to Robe's problem, obtaining again the classic results. We have computed the resonances existing in the circular case and obtained some information with regard to the linear stability of the central equilibrium of Robe's problem in the elliptic case. In some critical cases we have constructed, in the parameter plane, the boundary curves that separate the regions of stability and instability.
Keywords:
Robe's problem, restricted three-body problem, parametric stability.
Received: 15.09.2015 Accepted: 30.09.2015
Citation:
Lucas Rezende Valeriano, “Parametric Stability in Robe's Problem”, Regul. Chaotic Dyn., 21:1 (2016), 126–135
Linking options:
https://www.mathnet.ru/eng/rcd70 https://www.mathnet.ru/eng/rcd/v21/i1/p126
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Abstract page: | 216 | References: | 46 |
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