Convexity in the Figure Eight Solution to the Three-body Problem
نویسندگان
چکیده
The figure eight is a recently discovered periodic solution to the Newtonian three-body problem in which three equal masses traverse a single closed planar curve which has the form of a figure eight (figure 1). See [Moore], and [CM]. In particular, it has one point of self-intersection, the origin, which divides the eight into two symmetric parts, its two lobes. In [CM] it was proved that each lobe is star-shaped. Here we prove convexity of the lobes.
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