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ISSN 2083-6473
ISSN 2083-6481 (electronic version)




Associate Editor
Prof. Tomasz Neumann

Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
A Study on the Errors in the Free-Gyro Positioning and Directional System
1 Korea Maritime and Ocean University, Busan, South Korea
ABSTRACT: This paper is to develop the position error equations including the attitude errors, the errors of nadir and ship's heading, and the errors of ship's position in the free-gyro positioning and directional system. In doing so, the determination of ship's position by two free gyro vectors was discussed and the algorithmic design of the free-gyro positioning and directional system was introduced briefly. Next, the errors of transformation matrices of the gyro and body frames, i.e., attitude errors, were examined and the attitude equations were also derived. The perturbations of the errors of the nadir angle including ship's heading were investigated in each stage from the sensor of rate of motion of the spin axis to the nadir angle obtained. Finally, the perturbation error equations of ship's position used the nadir angles were derived in the form of a linear error model and the concept of FDOP was also suggested by using covariance of position error.
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Citation note:
Jeong T.G.: A Study on the Errors in the Free-Gyro Positioning and Directional System. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 8, No. 2, doi:10.12716/1001.08.02.01, pp. 175-181, 2014

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