Convexity in the Figure Eight Solution to the Three-Body Problem
classification
🧮 math.DS
math-phmath.MP
keywords
eightfigureproblemsolutionthree-bodyaroundchaseconvex
read the original 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.
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