$J^{+}$-like invariants of periodic orbits of the second kind in the restricted three body problem

Abstract

We determine three invariants: Arnold's $J^{+}$-invariant as well as ${\mathcal{J}}_1$ and ${\mathcal{J}}_2$ invariants, which were introduced by Cieliebak-Frauenfelder-van Koert, of periodic orbits of the second kind near the heavier primary in the restricted three-body problem, provided that the mass ratio is sufficiently small.

Final version, To appear in Journal of Topology and Analysis

References in corpus (1)

• On families of periodic orbits in the restricted three-body problem

Cited by in corpus (1)

• On families of periodic orbits in the restricted three-body problem