Otto van Koert

E-mail: okoert@snu.ac.kr

University: Seoul National University

Publications:

Cieliebak K., Frauenfelder U., van Koert O.

Periodic Orbits in the Restricted Three-body Problem and Arnold’s $J^+$ -invariant
2017, vol. 22, no. 4, pp. 408-434

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.

Keywords: generic immersions into the plane, Arnold’s plane curve invariants, restricted threebody problem

Citation: Cieliebak K., Frauenfelder U., van Koert O., Periodic Orbits in the Restricted Three-body Problem and Arnold’s $J^+$ -invariant, Regular and Chaotic Dynamics, 2017, vol. 22, no. 4, pp. 408-434

DOI:10.1134/S1560354717040050

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