On invariants of families of lemniscate motions in the two-center problem
arXiv:2505.05052 · doi:10.1016/j.geomphys.2025.105583.
Abstract
We determine four topological invariants introduced by Cieliebak-Frauenfelder-Zhao, based on Arnold's -invariant, of periodic lemniscate motions in Euler's two-center problem.