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Paper detail

Noncollision Singularities in a Planar Four-body Problem

In this paper, we show that there is a Cantor set of initial conditions in the planar four-body problem such that all four bodies escape to infinity in a finite time, avoiding collisions. This proves the Painlevé conjecture for the four-body case, and thus settles the last open case of the conjecture.

preprint2020arXivOpen access
Jinxin Xue
math-phmath.DSmath.MP
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