Download This PaperOn Invariants of Families of Lemniscate Motions in the Two-Center Problem
34 Pages Posted: 7 May 2025
Abstract
We determine four topological invariants introduced by CieliebakFrauenfelder-Zhao, based on Arnold’s J+-invariant, of periodic lemniscate motions in Euler’s two-center problem.
Keywords: Periodic orbits, Arnold's J^+ invariant, Euler's two-center problem, Lemniscate motions, Stark-Zeeman systems
Suggested Citation: Suggested Citation
Kim, Seongchan and HAÜSSLER, HANNA, On Invariants of Families of Lemniscate Motions in the Two-Center Problem. Available at SSRN: https://ssrn.com/abstract=5245074 or http://dx.doi.org/10.2139/ssrn.5245074
Do you have a job opening that you would like to promote on SSRN?
Feedback
Feedback to SSRN