月球低轨道的高保真半解析理论
High-Fidelity Semianalytical Theory for a Low Lunar Orbit
摘要：
我们已经开发了一个半解析理论的低空月球轨道的目的是验证什么的最低阶的引力模型应考虑，以产生现实的结果，可以应用于分析和设计的实际任务。为此，我们考虑了一个由50 × 50的引力场和来自地球的第三体引力组成的微扰模型。首先，简要描述了发展理论的过程。然后重点讨论了冻结轨道的搜索问题，分别分析了引力模型中各个调和项的影响。当包含高阶纬向谐波时，会出现新的冻结轨道族。此外，冻结轨道可能存在的偏心率和倾角值也会发生变化。这一影响非常重要，需要加以考虑，因为忽略高次谐波可能导致预测在某些倾角上存在冻结轨道，在这些倾角上冻结轨道的偏心率实际上超过撞击极限。因此，已经证实，与其他作者一致，50x50的引力模型应该是实际应用中考虑的最小值。
英文摘要：
We have developed a semi-analytical theory for low-altitude lunar orbits with the aim of verifying what the minimum order of the gravitational model to be considered should be in order to produce realistic results that can be applied to the analysis and design of real missions. With that purpose, we have considered a perturbation model that comprises a 50x50 gravitational field and the third-body attraction from the Earth. Initially, the process of developing the theory is briefly described. Then, the discussion is focused on the search for frozen orbits, for which the effect of each harmonic term of the gravitational model is analyzed separately. As higher-order zonal harmonics are included, new families of frozen orbits can appear. In addition, the eccentricity and inclination values for which frozen orbits can exist change. This effect is very important and needs to be taken into consideration, because ignoring high-order harmonics can lead to predict the existence of frozen orbits at certain inclinations at which the frozen-orbit eccentricity actually falls beyond the impact limit. Consequently, it has been verified that, in agreement with other authors, a 50x50 gravitational model should be the minimum to be considered for real applications.
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