导弹打击三角形目标命中概率计算方法

摘要

The hitting probability on missile attacking target is one of the basic problems in missile firepower use. And a complex shaped target can be divided into several triangle targets. Based on numerical integral method and Round Coverage Function,an algorithm of hitting probability on missile attacking triangle target is derived and an Gauss-Legendre integral method is applied on the problem. Numerical examples show that this algorithm can give reliable and quick resolve to this problem. The algorithm,which has a certain universal,can also be applied to the hitting probability calculation to polygon targets.%对目标的命中概率计算问题是导弹火力运用中的基本问题，而复杂面目标可以分解成多个三角形目标。以数值积分法为基础，利用圆覆盖函数的计算方法，推导了导弹打击三角形目标命中概率的计算公式，提出了利用高斯-勒让德积分法进行积分计算的方法，并通过算例证明，该计算方法在命中概率问题的求解中具有更高的可靠性和精度。算法可应用于计算任意多边形目标的命中概率计算问题，具有一定的通用性。