解析计算在月球中继卫星Halo轨道设计中的应用

面向月球中继卫星工程轨道设计需求，研究解析计算方法在地月系L2点halo轨道设计中的应用问题。在讨论圆型限制性三体问题三阶解析近似计算方法的基础上，分析了解析计算与数值计算的差异，给出了解析近似计算在工程约束下的适用范围，进而提出了基于解析计算的轨道设计和特征筛选方法。分别采用解析初值和数值初值进行halo轨道外推，比对验证采用解析计算设计轨道的可行性。研究结果表明,解析计算方法适用于月球中继卫星轨道的初步设计、特征分析和构型筛选。

Application of Analytical Calculation in Lunar Relay Satellite Halo Orbit Design

Oriented to the orbit design for a lunar relay satellite, application of the analytical calculation in earth-moon L2 libration point halo orbit design is studied. On basis of the third order analytical approximate calculation in circular restricted three-body problem, the differences between the analytical calculation and the numerical calculation are analyzed. Application range of the analytical approximate calculation is given with the engineering constraints. The orbit design and feature selection based on the analytical calculation are proposed then. The halo orbits are extrapolated based on the analytical calculation initial values and the numerical ones respectively. The feasibility of the orbit design using the analytical calculation is verified by comparisons. The research results show that the analytical calculation is appropriate for lunar relay satellite orbit initial design, feature analysis and configuration selection.