超视距防空导弹中末制导交接班时的目标捕获概率研究

摘要

中末制导交接班时的目标捕获概率是超视距防空导弹作战过程中的一个重要指标。为了快速计算中末制导交接班时的目标捕获概率，通过将导弹和目标的三维空间散布转换为视线坐标系下弹目相对位置向量的均值和方差，建立了一种红外导引头中末制导交接班时的目标捕获概率解析计算模型，并利用蒙特卡洛方法验证了其有效性。以此模型为基础，采用正交试验方法完成了目标捕获概率的灵敏度分析，极差和方差分析结果均表明，导引头视场角对目标捕获概率的影响最显著，弹目相对位置向量在视线坐标系OyL 轴和OzL 轴上投影的方差次之。%The target acquisition probability is an important parameter at hand⁃off from midcourse to terminal guidance of a be⁃yond visual range ( BVR) air defense missile. In order to calculate the target acquisition probability with low computational cost, the distributions of the missile and the target in three⁃dimensional space were transformed to the mean and variance of relative range vector in line⁃of⁃sight coordinate firstly, and then an analytical model was established to calculate the target acquisition probability of a kind of missile with an infrared seeker. After the analytical model was verified by the Monte Carlo method, it was employed to investigate the sensitivity of the target acquisition probability by means of orthogonal experiments. The results of range analysis and variance analysis both prove that the influence of seeker field angle on the target acquisition probability is dominated, and influences of variances of projections of relative range vector along OyL and OzL direction in line⁃of⁃sight coordinate are the second.