arXiv:math/0201278 Abstract

arXiv:math/0201278 [math.DS]Abstract References Reviews Resources

Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof

Published 2002-01-29, updated 2002-04-17Version 2

The restricted circular three-body problem is considered for the following parameter values $C=3.03$, $\mu=0.0009537$ - the values for {\em Oterma} comet in the Sun-Jupiter system. We present a computer assisted proof of an existence of homo- and heteroclinic cycle between two Lyapunov orbits and an existence of symbolic dynamics on four symbols built on this cycle.

Comments: 40 pages, 11 figures

DOI: 10.1007/s00220-002-0709-0

Categories: math.DS, math.NA

Subjects: 65P20, 65P10

Keywords: computer assisted proof, planar restricted circular, heteroclinic connections, periodic orbits, restricted circular three-body problem

Tags: journal article

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