The contact geometry of the restricted 3-body problem

Details The contact geometry of the restricted 3-body problem The contact geometry of the restricted 3-body problem

2010-10-11

arxiv.org/abs/1010.2140v1

Mathematics

Symplectic Geometry

29 pages, 1 figure

Scientific paper

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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