A study of submarine trajectories in the Ionian Sea based on difference equations

Abstract

This paper addresses the problem of undersea submersible detection, aiming to find a method to determine the three-dimensional coordinates of a submersible within a certain error range. Firstly, the core of the problem is analyzed, and seven key factors affecting the motion path of the submersible are summarized, including initial velocity, drift velocity, current velocity and direction, water depth and topography, time factor, weather conditions, and other factors. Subsequently, a model to establish the equations of motion of the submersible and parameterized current data is proposed, and simulations and calculations are carried out by MATLAB. The effects of Coriolis force and drag on the motion of the submersible were further discussed and the equations of motion of the submersible were established using differential equations. Finally, a MATLAB program was designed for the simulation of the horizontal trajectory of the submersible, and the simulation results show the trajectory of the submersible after the loss of power.