采用状态转移矩阵的拦截中段制导方法

基于相对运动理论提出拦截中段制导方法。方法原理为,将拦截器初始轨迹与施加修正后的轨迹视为一主一从两空间目标,以相对运动理论描述从目标相对于主目标的运动规律,于是初始的修正量可由终点处相对状态求解。给出了一般形式的相对运动模型,运用几何法与变分法推导得到了J2摄动影响下相对运动的状态转移矩阵,在此基础上,提出了采用状态转移矩阵的拦截中段制导方法。仿真算例表明,提出的方法能够为工程实际中的拦截中段制导提供有效支持。

Midcourse guidance of interception using state transition matrix

In this paper a method of midcourse guidance of exoatmospheric interception is developed. The mechanism is, treating the initial and modified trajectories as chief and deputy objects respectively, modeling the dynamics of the deputy relative to the chief by the relative motion theory and the initial corrections can be obtained through the final relative states. Firstly the universal relative motion model is provided. Secondly the state transition matrix of relative motion under the influence of J2 disturbance is derived by employing the geometry and the variation method. Lastly the midcourse guidance method using state transition matrix is proposed. Simulation example shows that the proposed method serves as an efficient support for midcourse guidance of interceptors in practice.