Non-collision singularities in a planar 4-body problem

Jinxin Xue Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, China

TBD mathscidoc:2203.43001

Acta Mathematica, 224, (2), 253-388, 2020.6
In this paper, we show that there is a Cantor set of initial conditions in the planar 4‑body problem such that all four bodies escape to infinity in a finite time, avoiding collisions. This proves the Painlevé conjecture for the 4‑body case, and thus settles the last open case of the conjecture.
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  title={Non-collision singularities in a planar 4-body problem},
  author={Jinxin Xue},
  booktitle={Acta Mathematica},
Jinxin Xue. Non-collision singularities in a planar 4-body problem. 2020. Vol. 224. In Acta Mathematica. pp.253-388.
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