Oblate Spheroidal Coordinates, Confocal Ellipsoidal Coordinates and Geodesy

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What is the name of the orthogonal coordinate system that is most commonly used in modern geodesy\geomatics engineering to model the reference ellipsoid? I suspect it is either oblate spheroidal coordinates or confocal ellipsoidal coordinates. Furthermore, please indicate one or more distinguishing features of the two aforementioned coordinate systems. Thank you.