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Academic Journal of Mathematical Sciences, 2024, 5(3); doi: 10.25236/AJMS.2024.050306.

A solution to the problem of finding lost submarines

Author(s)

Kehan Liu, Kaida Hou, Xiaotian Zhang

Corresponding Author:
Kehan Liu
Affiliation(s)

Department of Mathematics and Statistics, Hubei University, Wuhan, 430062, China

Abstract

In this paper, based on the submersible's own dynamic characteristics, ocean currents, water resistance, seawater density and other factors, we construct the differential equation of submersible dynamics, solve and simulate the prediction of the submersible's real-time position by using the difference method, and find that the motion of the submersible presents a general trend of horizontal to the east and a small range of stable fluctuations. For the uncertainty, we analyzed both the influencing factors and the probability estimation, and obtained the uncertainty factors of the coupled influence of underwater environmental factors, sensor measurement errors, and seafloor topography.

Keywords

Network Structure Model; Search and Rescue Plan; Equations of the Dynamics of the Submersible

Cite This Paper

Kehan Liu, Kaida Hou, Xiaotian Zhang. A solution to the problem of finding lost submarines. Academic Journal of Mathematical Sciences (2024) Vol. 5, Issue 3: 37-43. https://doi.org/10.25236/AJMS.2024.050306.

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