导弹打击三角形目标毁伤面积的一种解析计算方法

An Analytical Calculation Method of Damage Area on Missile Attacking Triangle Target

导弹火力运用研究中常常需要进行导弹打击面目标的毁伤面积计算,而三角形目标的毁伤面积计算是火力运用中诸多毁伤问题研究的基础,快速准确地完成其运算是前提。以斯特瓦尔特定理为基础,推导了圆与三角形相交部分面积的计算方法,通过点乘和叉乘有效回避了复杂计算,以圆心为三角形一个顶点时的三角形与圆相交部分面积计算为研究对象,分析了两者相交面积计算的各种情况,并给出具体计算步骤。算例表明,该算法运算量小,计算结果准确可靠。

It is always discussed in missile firepower use that the damage area on missile attacking triangle target. The calculation of damage area on missile attacking triangle target is the basis for the research of damage problems in firepower use. The precondition is the quick and correct calculation of it. Based on Stewart theorem,the algorithm of intersected area with circle and triangle is deduced, complex calculation is avoided with the help of multiplication scalar and multiplication cross. Based on the intersection area of a triangle and a circle with its center as a vertex of the triangle,different e conditions of intersected area is analyzed and specific calculation steps are presented. The correctness and feasibility of this algorithm is verified with an example.