Impact Factor

Otto van Koert

Seoul National University


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
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

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