This investigation selects orbits appropriate for a deep-space relay terminal to ensure continuous communication between Earth and Mars. Geometric constraints are derived and are used to evaluate the fitness of several periodic orbit families in the sun-Earth and sun-Mars circular-restricted three-body systems. It is determined that Mars Trojan orbits provide the best solution. Families of these orbits are presented and studied for stability in a multibody model. It is shown that with no station-keeping, appropriately chosen orbits satisfy the geometric telecommunication constraints for decades. Outbound transfer costs from Earth and orbit insertion costs are computed in both Keplerian and ephemeris-level multibody regimes. The use of an outbound Mars flyby significantly lowers the orbit insertion cost.

中文翻译：

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火星木马轨道持续地火星通信

这项研究选择了适合深空中继终端的轨道，以确保地球与火星之间的持续通信。推导了几何约束，并将其用于评估太阳地球和太阳火星圆形受限三体系统中几个周期轨道族的适合度。确定火星木马轨道提供了最佳解决方案。介绍了这些轨道的族，并研究了多体模型的稳定性。结果表明，没有位置保持，适当选择轨道满足几何约束电信了几十年。在开普勒级和星历级多体体系中都计算了地球的出站转移成本和轨道插入成本。火星飞越的出站使用大大降低了轨道插入成本。