PreprintarXiv licencearXiv
Hyperbolic scattering in the planar n-body problem
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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BibTeX
@misc{lie2026hyperbolic,
title = {{Hyperbolic scattering in the planar n-body problem}},
author = {Junhao Lie and Guowei Yu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.02781},
eprint = {2611.02781},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.02781},
}
RIS
TY - UNPB
TI - Hyperbolic scattering in the planar n-body problem
AU - Junhao Lie
AU - Guowei Yu
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.02781
UR - https://arxiv.org/abs/2611.02781
AB - 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.
ER -