Loss of accuracy compensation in determining a vessel's location with a mixed distribution of position line measurement errors

Authors

DOI:

https://doi.org/10.21014/actaimeko.v15i3.2177

Keywords:

maritime vessel, ship, navigational measurement equipment, accuracy of position, redundant lines of position (LOPs), compensation of error, mixed probability distribution laws, numerical experiment, natural experiment, safe navigation, measurement

Abstract

The objective of the investigation is to improve the accuracy of a ship’s position, based on navigational measuring equipment. The errors introduced into this process by key types of onboard equipment, including the GPS receiver, marine radar, and sextant, are analyzed. The errors of the sensors from which the measurement results are transmitted to the radar (gyrocompass, log, echo, etc.) are also considered. A multi-stage sequence in calculating the total positioning error from various navigational sources is also taken into account. The method for cumulative error compensation using redundant lines of position (LOPs) is proposed. The required measure of redundancy is determined based on derived analytic dependencies. The results of numerical experiments and natural observations are presented, confirming the appropriateness of using the proposed method. The proposed method and its results demonstrate its potential to improve positioning accuracy and ensure safe navigation.

Author Biographies

Igor Burmaka, National University “Odessa Maritime Academy”, Didrikhson str. 8, 65052 Odessa, Ukraine

Ship’s Handling Department (Head of Department)

Captain

Dr. Sc. (Techn.), Prof.

 

Bogdan Alieksieichuk, National University “Odessa Maritime Academy”, Didrikhson str. 8, 65052 Odessa, Ukraine

Ship’s Handling Department (Senior Lecturer)

Iryna Zhuravska, Petro Mohyla Black Sea National University, 68 Desantnykiv str. 10, 54003 Mykolaiv, Ukraine

Department of Computer Engineering (Head of Department)

Dr. Sc. (Techn.), Prof.

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Published

2026-09-15

Issue

Vol. 15 No. 3 (2026)

Section

Research Papers

License

Copyright (c) 2026 Igor Burmaka, Bogdan Alieksieichuk, Olha Burenko, Iryna Zhuravska

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