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

Joontae Kim; Seongchan Kim

arxiv: 1708.08392 · v3 · pith:BLZXPEIBnew · submitted 2017-08-28 · 🧮 math.DS · math.SG

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

Joontae Kim , Seongchan Kim This is my paper

classification 🧮 math.DS math.SG

keywords invariantskindmathcalorbitsperiodicproblemrestrictedsecond

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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.

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

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