Closed-Form transformation between geodetic and ellipsoidal coordinates

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 ellips...

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Main Authors: Featherstone, Will, Claessens, Sten
Format: Journal Article
Published: Springer 2008
Subjects:
Online Access:https://link.springer.com/
http://hdl.handle.net/20.500.11937/11589
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author Featherstone, Will
Claessens, Sten
author_facet Featherstone, Will
Claessens, Sten
author_sort Featherstone, Will
building Curtin Institutional Repository
collection Online Access
description 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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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T06:55:38Z
publishDate 2008
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spelling curtin-20.500.11937-115892018-09-25T02:49:09Z Closed-Form transformation between geodetic and ellipsoidal coordinates Featherstone, Will Claessens, Sten coordinate transformations ellipsoidal - geodesy Geodetic coordinates ellipsoidal coordinates 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. 2008 Journal Article http://hdl.handle.net/20.500.11937/11589 10.1007/s11200-008-0002-6 https://link.springer.com/ Springer fulltext
spellingShingle coordinate transformations
ellipsoidal - geodesy
Geodetic coordinates
ellipsoidal coordinates
Featherstone, Will
Claessens, Sten
Closed-Form transformation between geodetic and ellipsoidal coordinates
title Closed-Form transformation between geodetic and ellipsoidal coordinates
title_full Closed-Form transformation between geodetic and ellipsoidal coordinates
title_fullStr Closed-Form transformation between geodetic and ellipsoidal coordinates
title_full_unstemmed Closed-Form transformation between geodetic and ellipsoidal coordinates
title_short Closed-Form transformation between geodetic and ellipsoidal coordinates
title_sort closed-form transformation between geodetic and ellipsoidal coordinates
topic coordinate transformations
ellipsoidal - geodesy
Geodetic coordinates
ellipsoidal coordinates
url https://link.springer.com/
http://hdl.handle.net/20.500.11937/11589