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arXiv · 2505.05052

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

Hanna Haeussler·Seongchan Kim
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Abstract

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.

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Hanna Haeussler, Seongchan Kim. 2025-05-08. On invariants of families of lemniscate motions in the two-center problem. https://doi.org/10.1016/j.geomphys.2025.105583.

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