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Cartesian and ellipsoidal coordinates: Difference between revisions
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{{Article Infobox2 | {{Article Infobox2 | ||
|Category=Fundamentals | |Category=Fundamentals | ||
|Authors=J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain. | |||
|Authors=J. Sanz Subirana, | |||
|Level=Basic | |Level=Basic | ||
|YearOfPublication=2011 | |YearOfPublication=2011 | ||
|Title={{PAGENAME}} | |||
}} | }} | ||
The <math>(x,y,z)</math> ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as <math>(\lambda,\varphi, h)</math> ellipsoidal coordinates, where <math>\lambda</math> and <math>\varphi</math> are respectively the longitude and latitude from the ellipsoid, and <math>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]]. | The <math>(x,y,z)</math> ECEF Cartesian coordinates of the above mentioned Terrestrial frames can be expressed in the associated ellipsoid as <math>(\lambda,\varphi, h)</math> ellipsoidal coordinates, where <math>\lambda</math> and <math>\varphi</math> are respectively the longitude and latitude from the ellipsoid, and <math>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]]. | ||
Revision as of 07:51, 18 January 2012
| Fundamentals | |
|---|---|
| Title | Cartesian and ellipsoidal coordinates |
| Author(s) | J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, 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.
