Noncollision singularities in a planar 4-body problem

@article{Xue2020NoncollisionSI,
  title={Noncollision singularities in a planar 4-body problem},
  author={Jinxin Xue},
  journal={Acta Mathematica},
  year={2020},
  volume={224},
  pages={253-388}
}
ON PAINLEVÉ CONJECTURE
In this paper, we review the stream of ideas around the Painlevé conjecture–the existence of noncollision singularities (or finite time blowup solutions) in Newtonian N -body problem. We outline the
Geodesic Rays of the N-Body Problem
For the Newtonian N -body problem, we study the Jacobi–Maupertuis metric of the nonnegative energy levels. We show that the geodesic rays are expansive, that is to say, all the distances between the
Analysis