关键词: 应召搜潜, 分布概率, 均匀分布, 瑞利分布, 联合概率密度, 边缘概率密度

Abstract: Concerning the problem that has no formula to calculate the submarine distribution probability in call searching submarine, the paper gave out a formula to calculate the submarine distribution probability following the time changing for several typical cases. These typical cases included the initial position of the submarine obeying the normal distribution, the submarine heading obeying the uniform distribution in two-dimension plane, and the submarine velocity known or obeying the uniform distribution or obeying the Rayleigh distribution. Then the conclusion was proven right by Monte Carlo simulation. Also the joint probability density curves and the marginal probability density curves about the submarine distribution probability for several specific moments were given. The change of the submarine distribution probability in call searching submarine could be seen clearly through those curves, which is valuable to make the right search strategy in call searching submarine.

Key words: call searching submarine, distribution probability, uniform distribution, Rayleigh distribution, joint probability density, marginal probability density