Proves uniqueness of Busemann functions for hyperbolic rays sharing a limit shape in the N-body problem, yielding corollaries that such motions are eventually minimizers and that geodesic rays are generically unique without collisions.
Marchal, How the method of minimization of action avoids singularit ies, Celestial Mech
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Uniqueness of hyperbolic Busemann functions in the Newtonian N-body problem
Proves uniqueness of Busemann functions for hyperbolic rays sharing a limit shape in the N-body problem, yielding corollaries that such motions are eventually minimizers and that geodesic rays are generically unique without collisions.