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

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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 formulas for the mentioned solutions.

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Authors and Affiliations

  1. Sibai Institute (Branch), Bashkir State University, ul. Belova 21, Sibai, 453833, Russia

    M. G. Yumagulov & O. N. Belikova

Authors
  1. M. G. Yumagulov
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  2. O. N. Belikova
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Correspondence to M. G. Yumagulov.

Additional information

Original Russian Text © M.G. Yumagulov and O.N. Belikova, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 6, pp. 82–89.

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Yumagulov, M.G., Belikova, O.N. Bifurcations of periodic solutions near triangular libration points in the three-body problem. Russ Math. 54, 69–74 (2010). https://doi.org/10.3103/S1066369X10060083

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  • DOI: https://doi.org/10.3103/S1066369X10060083

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