Symbolic dynamics in the planar three-body problem


    2007, Vol. 3, No. 3, pp.  297-330

    Author(s): Moeckel R.

    A chaotic invariant set is constructed for the planar three-body problem. The orbits in the invariant set exhibit many close approaches to triple collision and also excursions near infinity. The existence proof is based on finding appropriate «windows» in the phase space which are stretched across one another by flow-defined Poincare’ maps.
    Keywords: CelestialMechanics, three-body problem
    Citation: Moeckel R., Symbolic dynamics in the planar three-body problem, Rus. J. Nonlin. Dyn., 2007, Vol. 3, No. 3, pp.  297-330
    DOI:10.20537/nd0703003


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