基于B平面参数偏差最小二乘的火星探测轨道设计

摘要

The least norm of B-plane parameters deviation was adopted as target of Differential Correction Algorithm to design mars transfer trajectory. Firstly, Patched Conic Method was used to get initial values of control & target vector. Then precise design of mars transfer trajectory was accomplished by Least Square of B-Plane Parameters Deviation. The example shows that the position of B-plane parameters reaches meters level,while the transfer time reaches seconds level. Furthermore, the proposed method could be applied to the gravity-assist and mid-course guidance.%提出以 B 平面参数偏差的二范数为指标，通过迭代最小二乘设计火星探测轨道的方法。首先，通过圆锥曲线拼接猜测控制变量、目标变量初值，之后辅以微分修正，开展火星探测轨道精确设计。算例表明：研究方法只需3~10次迭代即可收敛，目标 B 平面参数位置偏差为米级，时间偏差达到秒级。此外该方法对不同探火机会有较强适应性，亦可推广至多天体借力飞行轨道设计和中途制导等领域。