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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 9, Pages 1538–1549 (Mi zvmmf248)  
This article is cited in 3 scientific papers (total in 3 papers)

Numerical estimates for stability domains of Lagrangian solutions to the restricted three-body problem

E. A. Grebenikova, D. Kozak-Skovorodkinab

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b University of Podlasie, Siedlce, 08-110, Poland
Full-text PDF (1545 kB) Citations (3)
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Abstract: The geometric parameters of stability domains of Lagrangian solutions to the classical restricted three-body problem are quantitatively estimated. It is shown that these domains are ellipsoid-like plane figures stretched along the tangent to the circle that passes through the Lagrangian triangle solutions. A heuristic algorithm is proposed for determining the maximum size of these domains of attraction.
Key words: differential equations, Hamiltonian systems, KAM theory, computer algebras, Birkhoff transformations.
Received: 15.02.2007
Revised: 23.04.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 9, Pages 1477–1488
DOI: https://doi.org/10.1134/S0965542507090096
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: E. A. Grebenikov, D. Kozak-Skovorodkina, “Numerical estimates for stability domains of Lagrangian solutions to the restricted three-body problem”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007), 1538–1549; Comput. Math. Math. Phys., 47:9 (2007), 1477–1488
Citation in format AMSBIB
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\by E.~A.~Grebenikov, D.~Kozak-Skovorodkina
\paper Numerical estimates for stability domains of Lagrangian solutions to the restricted three-body problem
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 9
\pages 1538--1549
\mathnet{http://mi.mathnet.ru/zvmmf248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2387662}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 9
\pages 1477--1488
\crossref{https://doi.org/10.1134/S0965542507090096}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848828814}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i9/p1538
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :111
    References:23
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