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.

中文翻译：

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空间圆形受限三体问题的接触几何

我们表明，每当能级低于第一个临界值（第一个拉格朗日点的能级）或能级略高于它时，正则化、空间圆形受限三体问题的超曲面就是接触类型。一个动力学结果是在这个能量范围内没有蓝天灾难。