奔月轨道的一种求解方法

月球探测器转移轨道的计算通常归结为对商点边值问题的求解，而找到一种计算效率高、迭代次数少、同时具有较好收敛性的算法对于设计者来说是一件很重要的事。本文采用建立在B平面上的参数作为目标轨道参数，改进了状态转移矩阵迭代方法，并与状态转移矩阵方法相结合使用，给出了一种奔月轨道的求解方法。该方法具有计算效率高、迭代次数少的特点，并且对轨道状态量具有良好的线性关系(即对初始条件具有良好的收敛性)。计算算例表明了这种方法的有效性。

One method of calculating cislunar transfer trajecotry

The problem of calculating translunar trajectories can be treated as solving the boundary value problems of two points.To find an effective,targeting method is very important for designer.The B plane parameters built on target celestial body are used as targeting orbital parameter,and based on State Transition Matrix targeting method,a combination targeting method for calculating translunar trajectories is presented.Some examples has shown that this method has good efficiency of calculation and iterative speed,and good property of linear convergence with orbit state,that is,no very precise initial guess value for calculation is needed.