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

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

2003-08-27

arxiv.org/abs/math/0308252v2

Mathematics

Dynamical Systems

12 pages, 5 figures

Scientific paper

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.

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