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2013
Impact Factor

    Adam Ligęza

    Publications:

    Ligęza A., Żołądek H.
    Abstract
    We consider the situation where three heavy gravitational bodies form the Lagrange configuration rotating in a fixed plane and the fourth body of negligible mass moves in this plane. We present three cases of so-called libration points and we study their stability using linear approximation and KAM theory. In some situations we prove the Lyapunov stability for generic values of some parameter of the problem.
    Keywords: Lagrange configuration, libration point, stability
    Citation: Ligęza A., Żołądek H.,  Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem, Rus. J. Nonlin. Dyn., 2021, Vol. 17, no. 4, pp.  369-390
    DOI:10.20537/nd210402

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