Bifurcations of periodic solutions near triangular libration points in the three-body problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 82-89.

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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, periodic solutions, asymptotic formulas.
Mots-clés : bifurcation
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M. G. Yumagulov; O. N. Belikova. Bifurcations of periodic solutions near triangular libration points in the three-body problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2010), pp. 82-89. http://geodesic.mathdoc.fr/item/IVM_2010_6_a7/

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