Article

Studia Geophysica et Geodaetica

, Volume 52, Issue 1, pp 1-18

Closed-form transformation between geodetic and ellipsoidal coordinates

  • W. E. FeatherstoneAffiliated withWestern Australian Centre for Geodesy & The Institute for Geoscience Research, Curtin University of Technology Email author 
  • , S. J. ClaessensAffiliated withWestern Australian Centre for Geodesy & The Institute for Geoscience Research, Curtin University of Technology

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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.

Keywords

geodetic coordinates ellipsoidal coordinates coordinate transformations ellipsoidal geodesy