2 papers
math.DS2019
Chazy-Type Asymptotics and Hyperbolic Scattering for the -Body Problem
Nathan Duignan, Richard Moeckel, Richard Montgomery +1
We study solutions of the Newtonian -body problem which tend to infinity hyperbolically, that is, all mutual distances tend to infinity with nonzero speed as $t \rightarrow +\in…
math.DS2019
An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian -body Problem
Xijun Hu, Yuwei Ou, Guowei Yu
In the Newtonian -body problem for solutions with arbitrary energy, which start and end either at a total collision or a parabolic/hyperbolic infinity, we prove some basic resul…