Closed-form transformation between geodetic and ellipsoidal coordinates |
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Authors: | Email author" target="_blank">W?E?FeatherstoneEmail author S?J?Claessens |
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Institution: | (1) Western Australian Centre for Geodesy & The Institute for Geoscience Research, Curtin University of Technology, GPO Box U1987, Perth, WA, 6845, Australia |
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Abstract: | We present formulas for direct closed-form transformation between geodetic coordinates (φ, λ, h) and ellipsoidal coordinates
(β, λ, u) for any oblate ellipsoid of revolution. These will be useful for those dealing with ellipsoidal representations
of the Earth’s gravity field or other oblate ellipsoidal figures. The numerical stability of the transformations for near-polar
and near-equatorial regions is also considered. |
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Keywords: | geodetic coordinates ellipsoidal coordinates coordinate transformations ellipsoidal geodesy |
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