Calculation of Favorable Advance Angle Based on Maximum Entropy Distribution under Uncertain Homing Range

Abstract

In order to solve the favorable advance angle in the case of an uncertain homing range of torpedoes, the influence of homing range on torpedo firing was first analyzed. It was pointed out that when the actual homing range of torpedoes was less than its binding value, the favorable advance angle obtained from the calculation became smaller, and the probability of torpedo discovery was significantly reduced. Secondly, the weighted average discovery probability of torpedoes was defined. On this basis, a favorable advance angle calculation method was proposed to maximize the weighted average discovery probability. Then, according to the principle of maximum entropy, two maximum entropy distribution models for the actual homing range of torpedoes were given, and the formula for solving the favorable advance angle under this distribution model was obtained. Finally, the favorable advance angle in the case of an uncertain homing range of torpedoes was obtained through simulation.

Keywords

• acoustic homing torpedo
• homing range
• favorable advance angle
• maximum entropy distribution