most citedGlobally minimizing parabolic motions in the Newtonian N-body problem

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math.DG2024

On potentials whose level sets are orbits

Philippe Bolle, Marco Mazzucchelli, Andrea Venturelli

A level orbit of a mechanical Hamiltonian system is a solution of Newton equation that is contained in a level set of the potential energy. In 2003, Mark Levi asked for a character…