11.1.7 Transforming GPS Surveying Results: Coordinate Systems & Datums

CARTESIAN TO ELIPSOIDAL

Similarly, the output adjusted GPS coordinates and the VCV matrix of transformation models is often expressed in the Cartesian formulation. The corresponding ellipsoidal coordinates can be calculated by several methods, one of which is:

(11.1-14)

where

The VCV matrix of these ellipsoidal coordinates can be calculated from:

VCVh = J . VCVXYZ . JT

(11.1-15)

where the Jacobian matrix J is given by:

(11.1-16)

The conversion of the VCV matrix of more than one point can be done in the same manner as indicated in eqn (11.1-13).

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© Chris Rizos, SNAP-UNSW, 1999