12 research outputs found
Periodic orbits in the restricted three-body problem and Arnold's -invariant
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
-invariant, we introduce invariants of periodic orbits in planar
Stark-Zeeman systems and study their behaviour.Comment: 36 Pages, 16 Figure