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Analogues between 2D Linear Equations and Great Circle Sailing

Published online by Cambridge University Press:  20 August 2013

Wei-Kuo Tseng  and
Wei-Jie Chang
Wei-Kuo Tseng
Affiliation:
(Department of Merchant Marine, National Taiwan Ocean University)
Wei-Jie Chang*
Affiliation:
(Department of Merchant Marine, National Taiwan Ocean University)
*
(E-mail: [email protected])
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Abstract

This paper presents the similarities between equations used for great circle sailing and 2D linear equations. Great circle sailing adopts spherical triangle equations and vector algebra to solve problems of distance, azimuth and waypoints on the great circle; these equations are sophisticated and deemed hard for those unfamiliar with them, whereas on the other hand, 2D linear equations can be solved easily with basic algebra and trigonometry definitions. By pointing out the similarities, readers can quickly comprehend great circle equations and grasp just how similar they are to the corresponding 2D linear equations.

Keywords

Linear EquationsGreat Circle SailingAnalogue Equations
Type
Research Article
Information
The Journal of Navigation , Volume 67 , Issue 1 , January 2014 , pp. 101 - 112
Copyright
Copyright © The Royal Institute of Navigation 2013 

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