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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 6, Pages 82–89 (Mi ivm6947)  
This article is cited in 2 scientific papers (total in 2 papers)

Bifurcations of periodic solutions near triangular libration points in the three-body problem

M. G. Yumagulov, O. N. Belikova

Chair of Applied Mathematics and Information Technologies, Sibai Institute (branch) of Bashkir State University, Sibai, Russia
Full-text PDF (179 kB) Citations (2)
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Abstract: We consider the problem on bifurcations of periodic solutions near triangular libration points in the plane elliptic bounded three-body problem. We determine values of the mass parameter such that at small values of the eccentricity the problem has non-stationary periodic solutions close to a libration point. We determine bifurcation types and study the asymptotic for the mentioned solutions.
Keywords: three-body problem, libration points, bifurcation, periodic solutions, asymptotic formulas.
Received: 25.04.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 6, Pages 69–74
DOI: https://doi.org/10.3103/S1066369X10060083
Bibliographic databases:
Document Type: Article
UDC: 521.135
Language: Russian
Citation: M. G. Yumagulov, O. N. Belikova, “Bifurcations of periodic solutions near triangular libration points in the three-body problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 6, 82–89; Russian Math. (Iz. VUZ), 54:6 (2010), 69–74
Citation in format AMSBIB
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\by M.~G.~Yumagulov, O.~N.~Belikova
\paper Bifurcations of periodic solutions near triangular libration points in the three-body problem
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 6
\pages 82--89
\mathnet{http://mi.mathnet.ru/ivm6947}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779424}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 6
\pages 69--74
\crossref{https://doi.org/10.3103/S1066369X10060083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649534289}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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