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The Vector Function for Distance Travelled in Great Circle Navigation

Published online by Cambridge University Press:  15 December 2006

Wei-Kuo Tseng  and
Hsuan-Shih Lee
Wei-Kuo Tseng
Affiliation:
(China College of Marine Technology and Commerce and National Taiwan Ocean University)
Hsuan-Shih Lee
Affiliation:
(National Taiwan Ocean University) (Email: wilco0917@yahoo.com.tw)
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Abstract

Traditionally, on a great circle, the latitude or longitude of a waypoint is found by inspection. In this paper, using an elementary knowledge of vector algebra including linear combination of vectors and vector basis, we provide an easy method for finding the equation of a great circle path as a parameterized curve. By use of this vector function of distance travelled, the latitude and longitude of waypoints can be found based on the distance from departure point along a great circle. The approach is intended to appeal to the navigator who is interested in the mathematics of navigation and who, nowadays, solves his navigation problems with a personal computer.

Keywords

Great CircleLinear CombinationGeodesic
Type
Forum
Information
The Journal of Navigation , Volume 60 , Issue 1 , January 2007 , pp. 158 - 164
Copyright
© 2007 The Royal Institute of Navigation

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