Closed-form transformation between geodetic and ellipsoidal coordinates


DOI: 10.1007/s11200-008-0002-6

Cite this article as:
Featherstone, W.E. & Claessens, S.J. Stud Geophys Geod (2008) 52: 1. doi:10.1007/s11200-008-0002-6


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.


geodetic coordinates ellipsoidal coordinates coordinate transformations ellipsoidal geodesy 

Copyright information

© Institute of Geophysics of the ASCR, v.v.i 2008

Authors and Affiliations

  1. 1.Western Australian Centre for Geodesy & The Institute for Geoscience ResearchCurtin University of TechnologyPerthAustralia

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