应召搜潜中已知概略航向的潜艇分布概率计算

Calculation of Submarine Distribution Probability in Call Searching Submarine for Approximate Heading by Known

针对应召搜潜过程中已知概略航向的潜艇分布概率计算的问题,推导了潜艇的初始位置服从正态分布、潜艇概略航向已知、潜艇航速已知或服从均匀分布或服从瑞丽分布等几种情况下,潜艇概率的分布随时间变化的计算公式,并通过蒙特卡罗方法验证了所推导公式的正确性,给出了部分时刻潜艇位置联合概率密度的计算结果。

For the problem of calculating the submarine distribution probability in call searching submarine for approximate heading by known,the paper gives several formula to calculate the submarine distribution probability following the time changing for several cases. These cases include the initial position of the submarine obeying the normal distribution,the submarine heading obeying the uniform distribution in approximate heading,and the submarine velocity known or obeying the uniform distribution or obeying the Rayleigh distribution. Then proving the conclusion is right by Monte Carlo simulation. Also the joint probability density curves about the submarine distribution probability for several specific moments are given.