Closed-Form transformation between geodetic and ellipsoidal coordinates
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Open access
Authors
Featherstone, Will
Claessens, Sten
Date
2008Type
Journal Article
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Featherstone, Will and Claessens, Sten. Closed-Form transformation between geodetic and ellipsoidal coordinates. Studia Geophysica et Geodaetica 52 (1): 1-18.
Source Title
Studia Geophysica et Geodaetica
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Department of Spatial Sciences
Faculty of Science & Engineering
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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 gravityfield or other oblate ellipsoidal figures. The numerical stability of the transformations for nearpolarand near-equatorial regions is also considered.
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