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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 6, Pages 82–89 (Mi ivm6947)

This article is cited 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

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.

UDC: 521.135

Received: 25.04.2008


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:6, 69–74

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