Existence of partially hyperbolic motions in the N-body problem

2020/08/20 by Burgos, Juan Manuel · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.08762

Abstract

In the context of the Newtonian N-body problem, we prove the existence of a partially hyperbolic motion with prescribed positive energy and any initial collisionless configuration. Moreover, it is a free time minimizer of the respective supercritical Newtonian action or equivalently a geodesic ray for the respective Jacobi-Maupertuis metric.

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• On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem

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