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Contact geometry of the restricted three-body problem

✍ Scribed by Peter Albers; Urs Frauenfelder; Otto Van Koert; Gabriel P. Paternain

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 260 KB
Volume: 65
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.21380

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✦ Synopsis

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. © 2011 Wiley Periodicals, Inc.

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