理想声自导鱼雷运动要素的距离方位观测解算方法

为快速预测鱼雷的声自导弹道,以特定时刻相对本舰的距离、舷角为运动要素,将其弹道参数化为以此要素为初值的微分方程组的解,论证了其解析解与一个代数方程等价,证明了此方程经变换后可用标准牛顿方法计算。考虑声速的作用,建立了发射、接收点分开的主动声纳探测模型,构造了基于距离、方位观测值解算鱼雷运动要素的相对较优的弹道拟合准则。实现了小样本条件下理想声自导弹道估计的快速计算。仿真实验证实,该方法预测的弹道可满足反鱼雷鱼雷射击参数计算的需要。

Method of Solving Motion Factors of Ideal Acoustic Homing Torpedo by Distance and Bearing Observations

To predict the trajectory of acoustic homing torpedo fastly,the distance and bearing relative to this ship for specified time were taken as the torpedo motion factors,and the trajectory was parameterized to the solution of differential equations taking the factors as initial value. The result demonstrates that the analytic solution is equivalent to an algebraic equation, and this transformed algebraic-equation can be calculated using standard Newton method. A detection model of active sonar with the separation of sending and receiving point was established by considering sound speed influence. Based on the observation value of distance and azimuth,a relatively superior criterion named trajectory fitting for solving the motion factor was constructed. The fast calculation was realized for estimating the ideal acoustic homing trajectory under the conditions of small samples. Simulation results show that the torpedo trajectory predicted by this method can meet the parameters calculation for firing anti-torpedo torpedo.