An Analytical Calculation Method of Damage Area on Missile Attacking Triangle Target
An Analytical Calculation Method of Damage Area on Missile Attacking Triangle Target
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发表时间：
2013
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通讯作者：
Li Ya-xiong
中科院分区：
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作者：
Li Ya-xiong
在导弹火力运用中，导弹攻击三角形目标的毁伤面积问题一直备受关注。导弹攻击三角形目标毁伤面积的计算是火力运用中毁伤问题研究的基础，其前提是能够快速、准确地计算该面积。基于斯图尔特定理，推导了圆与三角形相交面积的算法，借助数量积和向量积避免了复杂的计算。以三角形的一个顶点为圆心的圆与三角形的相交面积为基础，分析了相交面积的不同情况，并给出了具体的计算步骤。通过实例验证了该算法的正确性和可行性。
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 conditions of intersected area is analyzed and specific calculation steps are presented.The correctness and feasibility of this algorithm is verified with an example.