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arXiv · 2008.08762

Existence of partially hyperbolic motions in the N-body problem

Juan Manuel Burgos
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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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Juan Manuel Burgos. 2020-08-20. Existence of partially hyperbolic motions in the N-body problem. https://arxiv.org/abs/2008.08762

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