火星探测直接转移轨道精确求解研究

针对火星探测直接转移轨道精确求解问题, 提出了一种快速微分修正算法. 基于二体模型建立控制参数和目标参数偏差关系的数学模型, 并由此求解系统的偏导数矩阵; 采用B平面参数作为中间变量, 对算法进行两层迭代设计, 有效地减少了求解过程中的积分运算次数. 以2018年火星探测机会为例对算法进行了验证, 仿真结果表明, 利用圆锥曲线拼接法得到的轨道初值, 求解一条标准轨道只需6~9次积分迭代. 通过STK对计算结果进行了对比和验证. 

Research on Precise Design of the Mars Probe Ballistic Trajectory

This paper studies the problems of precise design of the Mars probe ballistic trajectory. A fast differential correction algorithm is given.The model of the relationship between the difference of the independent and dependent variables is formulated using the two-body equations,by which the partial derivatives matrix can easily be calculated.Using the impact parameter B as mid variables, the algorithm is designed to be a two-layer iterative procedure,which can notably reduce the times of orbit propagation c...