Convexity in the Figure Eight Solution to the Three-Body Problem
Dynamical Systems
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0308252,
title = {Convexity in the Figure Eight Solution to the Three-Body Problem},
author = {Toshiaki Fujiwara and Richard Montgomery},
journal= {arXiv preprint arXiv:math/0308252},
year = {2007}
}
Comments
12 pages, 5 figures