This work studies the performance of periodic orbits to observe and conduct space traffic management (STM) in cislunar space, with the aim of finding a preferable trajectory for future missions focused on detection, tracking, initial orbit estimate formation, and orbit estimate maintenance. A measure is mathematically developed to quantitatively evaluate the observation performance of a given trajectory for observing cislunar space, taking into account the observer’s motion, the sun’s motion, apparent brightness of a reference object, a region of interest between the Earth and the moon, and other relevant constraints an observer might encounter, such as the location and eclipses of the Earth and moon. This measure is then used to study multiple families of repeating trajectories and phasing, simulating the dynamic paths of cislunar trajectories through time, with knowledge of the sun’s location to inform apparent magnitude calculations. A key finding of this work is that retrograde periodic orbits whose periods are $m\text{:}n$ resonant with the moon’s synodic period possess excellent characteristics for cislunar observation. Certain L1 Lyapunov and L2 Lyapunov trajectories are near-optimal when evaluated for observational capability and stability. The periodic orbits are capable of obtaining phasing such that, from the observer’s perspective, the sun is nearly constantly illuminating a region of interest in between the Earth and the moon.

这项工作研究了周期性轨道的性能，以观察和进行月球空间中的空间交通管理（STM），目的是为未来的任务寻找更好的轨迹，重点是探测，跟踪，初始轨道估计的形成和轨道估计的维护。在数学上开发了一种措施，以定量评估给定轨迹的观测月球空间的性能，其中要考虑观测者的运动，太阳的运动，参考物体的视在亮度，地球与月球之间的关注区域以及观察者可能遇到的其他相关限制，例如地球和月球的位置和日食。然后，该度量用于研究重复轨迹和定相的多个族，通过了解太阳的位置来模拟明显的幅度计算，从而模拟随时间变化的月球轨迹的动态路径。这项工作的一个关键发现是逆行的周期轨道是$米\text{：}ñ$与月球的定理周期共鸣具有很好的顺月观测特性。当评估观测能力和稳定性时，某些L1 Lyapunov和L2 Lyapunov轨迹接近最佳。周期轨道能够获得相位，从而从观察者的角度来看，太阳几乎一直在照亮地球和月球之间的一个感兴趣区域。