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Targeting Ballistic Lunar Capture Trajectories Using Periodic Orbits

机译:使用周期轨道瞄准弹道月球捕获轨迹

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摘要

A particular periodic orbit in the Earth-sun circular restricted three-body problem is shown to have the characteristics needed for a ballistic lunar capture transfer. An injection from a circular parking orbit into the periodic orbit serves as an initial guess for a nonlinear targeting algorithm. By targeting appropriate parameters incrementally in increasingly complicated force models and using precise derivatives calculated from the state transition matrix, a reliable algorithm is produced. Ballistic lunar capture trajectories in restricted four-body systems are produced in a systematic way.
机译:地球-太阳圆形受限三体问题中的特定周期性轨道显示具有弹道月球捕获转移所需的特性。从圆形停放轨道到周期性轨道的注入充当非线性目标算法的初始猜测。通过在越来越复杂的力模型中逐步确定适当的参数并使用从状态转换矩阵计算出的精确导数,可以生成可靠的算法。在受限的四体系统中,弹道捕获的轨迹是系统生成的。

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