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Cartesian and ellipsoidal coordinates

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FundamentalsFundamentals
Title Cartesian and ellipsoidal coordinates
Author(s) J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
Level Basic
Year of Publication 2011

The [math]\displaystyle{ (x,y,z) }[/math] ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as [math]\displaystyle{ (\lambda,\varphi, h) }[/math] ellipsoidal coordinates, where [math]\displaystyle{ \lambda }[/math] and [math]\displaystyle{ \varphi }[/math] are respectively the longitude and latitude from the ellipsoid, and [math]\displaystyle{ h }[/math] the height above it. Figure 1 illustrates the relation between Cartesian and ellipsoidal coordinates. The equations associated to this transformation are given in Ellipsoidal and Cartesian Coordinates Conversion.


Figure 1: Cartesian [math]\displaystyle{ (x,y,z) }[/math] and ellipsoidal [math]\displaystyle{ (\lambda, \varphi, h) }[/math] coordinates.