Richard Moeckel

Address: Minneapolis, MN 55455, USA

E-mail: rick@math.umn.edu

University: School of Mathematics, University of Minnesota

Publications:

Moeckel R.

Symbolic dynamics in the planar three-body problem
2007, Vol. 3, No. 3, pp. 297-330

Abstract

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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