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math.DS2023
Super-hyperbolic orbits and non-collision singularities in a four-body problem
Guan Huang, Jinxin Xue
In this paper, we prove the existence of super-hyperbolic orbits in four-body problem, which solves a conjecture of Marchal-Saari. We also prove the existence of noncollision singu…
math.DS2022
A New Mechanism for Noncollision Singularities
Joseph Gerver, Guan Huang, Jinxin Xue
In this paper, we prove the existence of noncollision singularities in a planar four-body problem in a model different from [J. Xue,Acta Math.V224(2)253-388, 2020.]. In this model,…