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Regular and Chaotic Dynamics, 2016, Volume 21, Issue 1, Pages 126–135
DOI: https://doi.org/10.1134/S156035471601007X (Mi rcd70) 		 
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
Citations (9)
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DOI: https://doi.org/10.1134/S156035471601007X
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.
Funding agency Grant number
Coordenaҫão de Aperfeiҫoamento de Pessoal de Nível Superior
We would like to thank CAPES/MathAmSud for financial support during the preparation of this work.
Received: 15.09.2015
Accepted: 30.09.2015
Bibliographic databases:
Document Type: Article
MSC: 34D20, 70F07, 70F15
Language: English
Citation: Lucas Rezende Valeriano, “Parametric Stability in Robe's Problem”, Regul. Chaotic Dyn., 21:1 (2016), 126–135
Citation in format AMSBIB
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\by Lucas Rezende Valeriano
\paper Parametric Stability in Robe's Problem
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 1
\pages 126--135
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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