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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 4, Pages 323–329
DOI: https://doi.org/10.1134/S1560354720040012 (Mi rcd1067) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Parametric Stability of a Pendulum with Variable Length in an Elliptic Orbit

José Laudelino de Menezes Netoa, Hildeberto E. Cabralb

a Departamento de Ciências Exatas, Universidade Federal da Paraíba, 58297-000 Rio Tinto, Brazil
b Departamento de Matemática, Universidade Federal de Pernambuco, 50670-901 Recife, Brazil
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DOI: https://doi.org/10.1134/S1560354720040012
Abstract: We study the dynamics of a simple pendulum attached to the center of mass of a satellite in an elliptic orbit. We consider the case where the pendulum lies in the orbital plane of the satellite. We find two linearly stable equilibrium positions for the Hamiltonian system describing the problem and study their parametric stability by constructing the boundary curves of the stability/instability regions.
Keywords: pendulum, parametric stability.
Received: 14.12.2019
Accepted: 15.05.2020
Bibliographic databases:
Document Type: Article
MSC: 70F15, 34D20, 70H14
Language: English
Citation: José Laudelino de Menezes Neto, Hildeberto E. Cabral, “Parametric Stability of a Pendulum with Variable Length in an Elliptic Orbit”, Regul. Chaotic Dyn., 25:4 (2020), 323–329
Citation in format AMSBIB
\Bibitem{De Cab20}
\by Jos\'e Laudelino de Menezes Neto, Hildeberto E. Cabral
\paper Parametric Stability of a Pendulum with Variable Length in an Elliptic Orbit
\jour Regul. Chaotic Dyn.
\yr 2020
\vol 25
\issue 4
\pages 323--329
\mathnet{http://mi.mathnet.ru/rcd1067}
\crossref{https://doi.org/10.1134/S1560354720040012}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088806660}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:23
     
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