Email this article Periodic orbits in the restricted three-body problem and Arnold’s J+-invariant
- Authors: Cieliebak K.1, Frauenfelder U.1, van Koert O.2
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Affiliations:
- Mathematisches Institut
- Department of Mathematics and Research Institute of Mathematics
- Issue: Vol 22, No 4 (2017)
- Pages: 408-434
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218667
- DOI: https://doi.org/10.1134/S1560354717040050
- ID: 218667
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Abstract
We apply Arnold’s theory of generic smooth plane curves to Stark–Zeeman systems. This is a class of Hamiltonian dynamical systems that describes the dynamics of an electron in an external electric and magnetic field, and includes many systems from celestial mechanics. Based on Arnold’s J+-invariant, we introduce invariants of periodic orbits in planar Stark–Zeeman systems and study their behavior.
About the authors
Kai Cieliebak
Mathematisches Institut
Author for correspondence.
Email: kai.cieliebak@math.uni-augsburg.de
Germany, Universitätsstrasse 14, Augsburg, 86159
Urs Frauenfelder
Mathematisches Institut
Email: kai.cieliebak@math.uni-augsburg.de
Germany, Universitätsstrasse 14, Augsburg, 86159
Otto van Koert
Department of Mathematics and Research Institute of Mathematics
Email: kai.cieliebak@math.uni-augsburg.de
Korea, Republic of, San 56-1, Sillim-dong, Gwanak-gu, Seoul, 08826
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