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Transformation between Terrestrial Frames
|Title||Transformation between Terrestrial Frames|
|Author(s)||J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.|
|Year of Publication||2011|
From elemental linear algebra, all transformations between two Cartesian coordinate systems can be decomposed in a shift vector , three consecutive rotations around the coordinate axes (, , ), and a scale factor (). That is, they can be described by the following equation, which involves 7 parameters:
Adopting the convention used by IERS, the previous equation (1) can be written as follows:
where , , are three translation parameters, is a scale factor and , and are three rotation angles.
Transformation parameters from ITRF2000 to past ITRFs are listed in table 4.1 of IERS Conventions (2003) [Denis et al., 2004].
- ^ [Denis et al., 2004] Denis, D., McCarthy and Petit, G., 2004. IERS Conventions (2003). IERS Technical Note 32. IERS Convention Center., Frankfurt am Main.