Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2007, Volume 3, Number 3, Pages 297–330 (Mi nd141)  
Symbolic dynamics in the planar three-body problem

R. Moeckel

School of Mathematics, University of Minnesota
Full-text PDF (431 kB)
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 Poincaré maps.
Keywords: Celestial Mechanics, three-body problem.
Document Type: Article
MSC: 70F10, 70F15, 37N05, 76Bxx
Language: Russian
Citation: R. Moeckel, “Symbolic dynamics in the planar three-body problem”, Nelin. Dinam., 3:3 (2007), 297–330
Citation in format AMSBIB
\Bibitem{Moe07}
\by R.~Moeckel
\paper Symbolic dynamics in the planar three-body problem
\jour Nelin. Dinam.
\yr 2007
\vol 3
\issue 3
\pages 297--330
\mathnet{http://mi.mathnet.ru/nd141}
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  • https://www.mathnet.ru/eng/nd/v3/i3/p297
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