标题： 二重对称的周期轨道在具有扁平次级主天体的空间 Hill 月球问题中 显示英文标题

标题： Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary

摘要： 在本文中，我们考虑了空间圆形Hill月球问题中双对称周期轨道族的存在性，其中原点处的次级主天体是扁平的。通过将不动点定理应用于方程，在消除近似系统一阶扰动中的短周期效应后，用Poincare-Delaunay元素表示双对称性的周期条件，证明了其存在性。 显示英文摘要

摘要： In this article we consider the existence of a family of doubly-symmetric periodic orbits in the spatial circular Hill's lunar problem, in which the secondary primary at the origin is oblate. The existence is shown by applying a fixed point theorem to the equations with periodical conditions expressed in Poincare-Delaunay elements for the double symmetries after eliminating the short periodic effects in the first-order perturbations of the approximated system.