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arXiv · 2611.02781

Hyperbolic scattering in the planar n-body problem

Junhao Lie·Guowei Yu
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Abstract

For the planar $n$-body problem with homogeneous strong force potentials, given an arbitrary pair of normalized collision-free configurations $(a, b)$, we prove that for any positive energy $h$, there are infinitely many $h$-energy scattering orbits between $a$ and $b$.

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Junhao Lie, Guowei Yu. 2026-11-02. Hyperbolic scattering in the planar n-body problem. https://arxiv.org/abs/2611.02781

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