Loosely captured orbits with circulating and pulsating eccentricity vectors have a variety of attractive mission design properties, including low insertion costs, near-circular and highly eccentric phases, mid- to high inclinations, long-term stability, and spatially distributed close approaches. Such orbits are the known result of averaging third-body perturbations over the spacecraft and system motions. Unfortunately, the doubly averaged model does not match long-term unaveraged motion well at high altitudes. Singly averaged dynamics are accurate for orbits with much higher semimajor axis values, providing a mechanism to predict and characterize high-altitude motion in the unaveraged model. In this work, singly averaged circulating, eccentric orbits are surveyed in the specific context of the dimensioned Earth–Moon system, where high-altitude orbits are expected to have the most useful applications. A global search is performed over non-impacting system resonances, and families of periodic orbits are used as a framework to map the feasible space. The resulting database of periodic orbits is provided as an online supplement. The singly averaged families are shown to provide a reliable bridge between the analytic results of the doubly averaged system and initial guesses that converge to periodic orbits in the unaveraged model. Non-impacting circulating, eccentric orbits are demonstrated to maintain their structure for multiple years in a high-fidelity force model. These circulating, eccentric, lunar orbits may be useful for human-crewed space stations, dedicated science orbits, extended missions, loitering orbits, or transfers between the Lagrange points and low-lunar orbits.

具有循环和脉动偏心向量的松散捕获的轨道具有多种吸引人的任务设计特性，包括低插入成本，近圆形和高偏心相位，中高倾斜度，长期稳定性以及空间分布的近距离进近。这样的轨道是在航天器和系统运动上平均第三人称扰动的已知结果。不幸的是，双重平均模型在高海拔地区不能很好地匹配长期非平均运动。单一平均动力学对于半主轴值高得多的轨道是准确的，从而提供了一种机制来预测和表征非平均模型中的高空运动。在这项工作中，在规模化的地球-月球系统的特定环境下，对单个平均的偏心环行轨道进行了测量，高空轨道有望成为最有用的应用。全局搜索是在非碰撞系统共振上执行的，并且周期性轨道族用作映射可行空间的框架。作为在线补充，提供了所得的周期性轨道数据库。单平均族显示出在双平均系统的分析结果和收敛到非平均模型中周期轨道的初始猜测之间提供了可靠的桥梁。在高保真力模型中，无碰撞的离心偏心轨道被证明可以保持其结构多年。这些循环的，偏心的月球轨道可能对人类空间站，专用科学轨道，扩展任务，游荡轨道，