TRAVELING ON THE CURVED EARTH

Allen R. Miller, Ira S. Moskowitz, and Jeff Simmen

Peer Reviewed

Abstract: By using the interpretation of rotations in three-dimensional space as certain 3 x 3 matrices (without even knowing explicitly any of the properties of these matrices), together with an elementary knowledge of vector analysis that includes the notion of dot product, we give an easy method for finding the equations of great circle paths (on spherical surfaces) as parameter&d curves-first in terms of Cartesian coordinates, and then in terms of the more useful navigational coordinates of latitude and longitude.
Published in: NAVIGATION, Journal of the Institute of Navigation, Volume 38, Number 1
Pages: 71 - 78
Cite this article: Miller, Allen R., Moskowitz, Ira S., Simmen, Jeff, "TRAVELING ON THE CURVED EARTH", NAVIGATION, Journal of The Institute of Navigation, Vol. 38, No. 1, Spring 1991, pp. 71-78.
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