Closed Form Solution for Geodetic Coordinates Transformation

David Y. Hsu

Abstract:	The purpose of this article is to provide a closed form solution for the problem of geodetic coordinate transfonna- tion, by treating it as a minimization problem subject to cer- tain boundary constraint. The exact solution is valid regard- less of the size of datum shift. NOTATION f4 = geodetic latitude 8 = geodetic longitude h = geodetic altitude a = semi major axis of an ellipsoid b = semi minor axis of an ellipsoid (XJJ) = rectangular coordinates W.Y,Z) = rectangular coordinates for point Q w,v,w = rectangular coordinates for point P N = east west radius of curvature v = Lagrange multiplier e = first eccentricity
Published in:	Proceedings of the 1992 National Technical Meeting of The Institute of Navigation January 27 - 29, 1992 Catamaran Resort Hotel San Diego, CA
Pages:	397 - 400
Cite this article:	Hsu, David Y., "Closed Form Solution for Geodetic Coordinates Transformation," Proceedings of the 1992 National Technical Meeting of The Institute of Navigation, San Diego, CA, January 1992, pp. 397-400.
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