基于投影变换判断导弹残骸落区安全性能的算法

An Algorithm for Judging the Safety Performance of Missile Wreckage Falling Area Based on Projection Transform

为实现定量判断导弹残骸落区安全性问题,设计了地球投影变换的相关算法并推导了从地理坐标系到切平面二维坐标系的转化过程,提出了一种判断确定两多边形交集区域范围的算法,快速判断确定了相应残骸落区和规避区域在二维坐标系上的交集区域,通过构建二维正态分布模型快速计算交集区域概率,并将交集区域概率与设置阈值比较,定量判断出了导弹残骸落区内相应规避区域的安全性。算例结果表示,该算法易于实现,计算精度较高,能够较大程度上降低残骸落区内规避区域的转移损失,具有一定的实际应用价值。

In order to quantitatively judge the safety of missile wreckage falling area,the related algorithm of earth projection transformation is designed and the transformation process from geographic coordinate system to tangent plane two-dimensional coor⁃dinate system is deduced.An algorithm for judging and determining the intersection area of two polygons is proposed.The intersec⁃tion area of wreckage falling area and avoidance area in two-dimensional coordinate system is determined by fast judgment.The two-dimensional normal distribution model calculates the probability of the intersection area quickly,and compares the probability of the intersection area with the setting threshold,and quantitatively judges the safety of the corresponding evasion area in the mis⁃sile wreckage falling area.The numerical results show that the algorithm is easy to implement and has high accuracy.It can reduce the transfer loss of the evasion area in the wreckage falling area to a large extent,and has certain practical application value.