We construct finite energy foliations and transverse foliations of neighbourhoods of the circular orbits in the rotating Kepler problem for all negative energies. This paper would be a first step towards our ultimate goal that is to recover and refine McGehee’s results on homoclinics [23] and to establish a theoretical foundation to the numerical demonstration of the existence of a homoclinic–heteroclinic chain in the planar circular restricted three-body problem [20], using pseudoholomorphic curves.

中文翻译：

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旋转开普勒问题中的横向叶状结构

我们在旋转开普勒问题中为所有负能量构建了圆形轨道邻域的有限能量叶状结构和横向叶状结构。本文将是实现我们最终目标的第一步，即恢复和完善 McGehee 关于同宿的结果 [23]，并为数值证明平面圆形受限三元中同宿-异宿链的存在奠定理论基础。身体问题[20]，使用伪全纯曲线。