基于坐标转换和压缩比例的导弹碰撞概率算法

A Method for Calculating Missile Collision Probability Based on Coordinate Conversion and Compression Ratio

针对未来战场参战导弹数量多,传统弹道交叉算法评估弹道安全风险浪费空域的情况,提出了一种基于坐标转换和压缩比例的导弹碰撞概率算法。提出了压缩比例的数值计算法将导弹碰撞概率二维计算模型简化为一维求解,并对相应误差和影响因素进行了分析讨论。算例仿真表明,论文提出的导弹碰撞概率计算理论模型适用性通用性较强,能够较好较快评估出导弹碰撞风险,对未来战场导弹协同作战决策与评估具有重要意义。

In view of the large number of missiles participating in the future battlefield and the waste of airspace caused by tra⁃jectory safety risk assessed by traditional trajectory crossover algorithm,a method for calculating missile collision probability based on coordinate conversion and compression ratio is proposed.A compression ratio method is proposed to simplify the two-dimensional calculation model of missile collision probability to one-dimensional solution,and corresponding errors and influencing factors are analyzed and discussed.The simulation results show that the proposed theoretical model of missile collision probability calculation has strong applicability and versatility,and can evaluate missile collision risk better and faster.It is of great significance for future battlefield missile cooperative combat decision-making and evaluation.