Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof
D. Wilczak, P. Zgliczynski
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 homo- and heteroclinic cycle between two Lyapunov orbits and an existence of symbolic dynamics on four symbols built on this cycle.
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