Work

Hyperbolic scattering in the planar n-body problem

Year: 2026

Type: preprint

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 $b$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2611.02781

Authors: Lie, Junhao, Yu, Guowei

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225154465

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