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arXiv · 1708.08392

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

Joontae Kim·Seongchan Kim
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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.

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Joontae Kim, Seongchan Kim. 2017-08-28. $J^+$-like invariants of periodic orbits of the second kind in the restricted three body problem. https://arxiv.org/abs/1708.08392

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