超音速导弹轨迹的一种声学测量方法

An Acoustic Measurement Method of Supersonic Missile Trajectory

准确测量超音速导弹在过靶时刻的运行轨迹对科学评价武器系统对目标的打击性能具有重要意义。采用声学被动定位技术,利用导弹在飞行中产生的激波,可以实现对其轨迹的准确测量。本文提出了利用四元声纳阵实现轨迹测量的数学模型。模型中基于导弹轨迹矢量、激波波前和各阵元坐标间的几何关系,建立关于激波到达各阵元时间差和轨迹参量的非线性方程组。之后,通过此方程组解算导弹飞行轨迹,获得脱靶量信息。计算机仿真验证了文中提出方法的有效性。

It has great significance to measure the running trajectory of the supersonic missile accurately when the missile flies through the target for evaluating the hitting performance for the target of the weapon system scientifically.Using passive acoustic positioning technology the accurate measurement of the supersonic missile＇s trajectory can be realized by analyzing the shock wave generated by the missile in flight.This paper proposes the mathematical model of using four elements sonar array to achieve the trajectory measurements.Based on geometric relationships of missile trajectory vector, the wave front of the shock wave and the coordinates of each array element, nonlinear equations are set up which are about the arrival time difference of the shock wave and the trajectory parameters in this model.Next, the miss distance information can be got by solving the equations to compute the flying trajectory of the missile.Computer simulation results confirm the effectiveness of the method proposed in the paper.