Convexity in the Figure Eight Solution to the Three-Body Problem

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The figure eight is a remarkable solution to the Newtonian three-body problem in which the three equal masses chase each around a planar curve having the qualitative shape and symmetries of a figure eight. Here we prove that each lobe of this eight is convex.
12 pages, 5 figures

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Dynamical Systems, Mathematical Physics, 70F07

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http://salesiana.dossiersoluciones.com/handle/123456789/68389

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308252
 http://arxiv.org/abs/math/0308252

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arXiv