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A platform for research: civil engineering, architecture and urbanism
New solutions for the geodetic coordinate transformation
Abstract. The Cartesian-to-geodetic-coordinate transformation is approached from a new perspective. Existence and uniqueness of geodetic representation are presented, along with a clear geometric picture of the problem and the role of the ellipse evolute. A new solution is found with a Newton-method iteration in the reduced latitude; this solution is proved to work for all points in space. Care is given to error propagation when calculating the geodetic latitude and height.
New solutions for the geodetic coordinate transformation
Abstract. The Cartesian-to-geodetic-coordinate transformation is approached from a new perspective. Existence and uniqueness of geodetic representation are presented, along with a clear geometric picture of the problem and the role of the ellipse evolute. A new solution is found with a Newton-method iteration in the reduced latitude; this solution is proved to work for all points in space. Care is given to error propagation when calculating the geodetic latitude and height.
New solutions for the geodetic coordinate transformation
Jones, G. C. (author)
Journal of Geodesy ; 76
2002
Article (Journal)
English
BKL:
38.73
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