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arXiv · 1810.05796

The contact geometry of the spatial circular restricted 3-body problem

Wanki Cho·Hyojin Jung·Geonwoo Kim
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Abstract

We show that a hypersurface of the regularized, spatial circular restricted three-body problem is of contact type whenever the energy level is below the first critical value (the energy level of the first Lagrange point) or if the energy level is slightly above it. A dynamical consequence is that there is no blue sky catastrophe in this energy range.

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Wanki Cho, Hyojin Jung, Geonwoo Kim. 2018-10-13. The contact geometry of the spatial circular restricted 3-body problem. https://doi.org/10.1007/s12188-020-00222-y

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