A pr 2 00 2 Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body ProblemA Computer Assisted Proof

Abstract

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

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