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arXiv · 1010.2140

The contact geometry of the restricted 3-body problem

Peter Albers·Urs Frauenfelder·Otto van Koert·Gabriel P. Paternain
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Abstract

We show that the planar circular restricted three body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of Contact Topology to understand this particular dynamical system.

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Peter Albers, Urs Frauenfelder, Otto van Koert, Gabriel P. Paternain. 2010-10-11. The contact geometry of the restricted 3-body problem. https://doi.org/10.1002/cpa.21380

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