On invariants of families of lemniscate motions in the two-center problem

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Autores principales: Haeussler, Hanna, Kim, Seongchan
Formato: Preprint
Publicado: 2025
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author Haeussler, Hanna
Kim, Seongchan
author_facet Haeussler, Hanna
Kim, Seongchan
contents We determine four topological invariants introduced by Cieliebak-Frauenfelder-Zhao, based on Arnold's $J^+$-invariant, of periodic lemniscate motions in Euler's two-center problem.
format Preprint
id arxiv_https___arxiv_org_abs_2505_05052
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On invariants of families of lemniscate motions in the two-center problem
Haeussler, Hanna
Kim, Seongchan
Dynamical Systems
Symplectic Geometry
We determine four topological invariants introduced by Cieliebak-Frauenfelder-Zhao, based on Arnold's $J^+$-invariant, of periodic lemniscate motions in Euler's two-center problem.
title On invariants of families of lemniscate motions in the two-center problem
topic Dynamical Systems
Symplectic Geometry
url https://arxiv.org/abs/2505.05052