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

 

 

Editor-in-Chief

Associate Editor
Prof. Tomasz Neumann
 

Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
www http://www.transnav.eu
e-mail transnav@umg.edu.pl
An Algorithmic Study on Positioning and Directional System by Free Gyros
1 Korea Maritime and Ocean University, Busan, South Korea
ABSTRACT: The authors aim to establish the theory necessary for developing free gyro positioning system and focus on measuring the nadir angle by using the motion rate of a free gyro. The azimuth of a gyro vector from the North can be given by using the property of the free gyro. The motion rate of the spin axis in the gy-ro frame is transformed into the platform frame and again into the NED (north-east-down) navigation frame. The nadir angle of a gyro vector is obtained by using the North components of the motion rate of the spin axis in the NED frame. The component has to be transformed into the horizontal component of the gyro by using the azimuth of the gyro vector and then has to be integrated over the sampling interval. Meanwhile the authors suggest north-finding principle by the angular velocity of the earth?s rotation. That is, ship's heading is obtained by using the fore-and-aft and athwartship components of the motion rate of the spin axis in the NED frame.
REFERENCES
Farrell, J. and Barth, M.(1999), “The Global Positioning System and Inertial Navigation”, Mcgraw-hill, pp. 44-50.
Jekeli, C.(2000), “Inertial Navigation Systems with Geodetic Applications”, Walter de Gruyter, p.25.
Jeong, T.G.(2005), “A Study on the Errors in the Free-Gyro Positioning System (Ⅰ)”, International Journal of Navigation and Port Research, Vol. 29, No. 7, pp. 611-614.
Jeong, T.G. and Park, S.C.(2006), “A Theoretical Study on Free Gyroscopic Compass”, International Journal of Navigation and Port Research, Vol. 30, No. 9, pp. 729-734.
Jeong, T.G. & Park, S.C.(2007), “An Algorithmic Study on Free-Gyro Positioning System(Ⅰ) - Measuring Nadir Angle by using the Motion Rate of a Spin Axis -”, Journal of Navigation and Port Research, Vol. 31, No. 9, pp. 751~757.
Park, S.C. and Jeong, T.G.(2004), “A Basic Study on Position Fixing by Free Gyros”, Journal of Korean Navigation and Port Research, Vol.28, No.8, pp. 653-657.
Rogers, R.M(2003), “Applied Mathematics in Integrated Navigation Systems”, 2nd ed., AIAA, pp.65-66.
Titterton, D.H. and Weston, J.L.(2004), “Strapdown Inertial Navigation Technology”, AIAA, p. 287
Citation note:
Jeong T.G., Park S.C.: An Algorithmic Study on Positioning and Directional System by Free Gyros. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 5, No. 3, pp. 297-302, 2011

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