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Generation of launch windows for high-accuracy lunar trajectories

机译：生成用于高精度月球轨迹的发射窗口

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The purpose of this paper is to systematically establish in arbitrary timespan a full set of instantaneous ground launch windows for certain accurate three-dimensional asymmetric free return circumlunar trajectories tailored to human lunar missions for China, and in general propose a novel methodology useful for determining ground launch windows for other Earth-to-Moon trajectories. Using time-varying spherical trigonometry, an analytical design method for finding ground launch windows is developed with two-body model assumption. Windows appear when the Moon at arrival time and the Earth parking orbit nodes on lunar orbit plane have similar right ascensions. The numerical first guesses obtained almost instantly are within minutes of accurate solutions and refined to highly accurate trajectories by differential corrections of only one phase. A translunar launch window plot visualizing all monthly and daily launch windows differentiating two types of translunar injections is created. The method proposed can be used for automated generation of complete trajectory sets, and provide the basis for the preparation of launch timetables satisfying lunar mission requirements.
机译：本文的目的是在任意时间范围内系统地为针对中国人类登月任务的某些精确的三维非对称自由返回绕月轨迹建立一套完整的瞬时地面发射窗口，并总体上提出一种可用于确定地面的新颖方法发射其他地球到月球轨迹的窗口。利用时变球面三角法，在两体模型假设的基础上，开发了一种寻找地面发射窗口的分析设计方法。当到达时间的月亮和月球轨道平面上的地球停车轨道节点具有类似的右提升时，将出现窗户。几乎可以立即在精确解的几分钟内获得数值初值，并仅通过一个相位的微分校正就可以将其精确化为高精度轨迹。创建一个跨月发射窗口图，可视化所有月度和每日发射窗口，以区分两种类型的跨月注射。提出的方法可用于自动生成完整的轨迹集，并为编制满足月球任务要求的发射时间表提供基础。

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