Guowei Yu

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math.DS2022

Hyperbolic and Bi-hyperbolic solutions in the planar restricted $(N + 1)$ -body problem

Guowei Yu

Consider the planar restricted $(N + 1)$ -body problem with trajectories of the $N (\geq 2)$ primaries forming a collision-free periodic solution of the $N$ -body problem, for any positi…

math.DS2019

Chazy-Type Asymptotics and Hyperbolic Scattering for the $n$ -Body Problem

Nathan Duignan, Richard Moeckel, Richard Montgomery +1

We study solutions of the Newtonian $n$ -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 $n$ -body Problem

Xijun Hu, Yuwei Ou, Guowei Yu

In the Newtonian $n$ -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…

Hyperbolic and Bi-hyperbolic solutions in the planar restricted (N+1)-body problem

Chazy-Type Asymptotics and Hyperbolic Scattering for the n-Body Problem

An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian n-body Problem

Hyperbolic and Bi-hyperbolic solutions in the planar restricted $(N + 1)$ -body problem

Chazy-Type Asymptotics and Hyperbolic Scattering for the $n$ -Body Problem

An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian $n$ -body Problem