Yuwei Ou

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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…

math.DS2019

Linear stability of the elliptic relative equilibrium with $(1 + n)$ -gon central configurations in planar $n$ -body problem

Xijun Hu, Yiming Long, Yuwei Ou

We study the linear stability of $(1 + n)$ -gon elliptic relative equilibrium (ERE for short), that is the Kepler homographic solution with the $(1 + n)$ -gon central configurations. We…

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

Linear stability of the elliptic relative equilibrium with (1+n)-gon central configurations in planar n-body problem

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

Linear stability of the elliptic relative equilibrium with $(1 + n)$ -gon central configurations in planar $n$ -body problem