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Earth Deformation Effect: Difference between revisions

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After computing each tidal displacement, the receiver location is given by:
The vector of tidal displacements for each one of such effects is labelled <math>\Delta {\mathbf r}_{sol}</math> , <math>\Delta {\mathbf r}_{ocn}</math> and <math>\Delta {\mathbf r}_{pol}</math>, respectively. After computing each tidal displacement, the receiver location is given by:


::<math>
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Revision as of 11:22, 6 February 2012


FundamentalsFundamentals
Title Earth Deformation Effect
Author(s) J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
Level Basic
Year of Publication 2011
Logo gAGE.png

The receiver station coordinates are affected by tidal motions that must be accounted for when high accuracy is required. It is important to point out that these effects do not affect GNSS signals, but if the tidal effects were not considered the station coordinates would oscillate with relation to a mean value as a consequence of these effects.

The main reasons for the earth's crust to vary and modify the receiver location coordinates are summarised in:


The vector of tidal displacements for each one of such effects is labelled [math]\displaystyle{ \Delta {\mathbf r}_{sol} }[/math] , [math]\displaystyle{ \Delta {\mathbf r}_{ocn} }[/math] and [math]\displaystyle{ \Delta {\mathbf r}_{pol} }[/math], respectively. After computing each tidal displacement, the receiver location is given by:

[math]\displaystyle{ {\mathbf r} ={\mathbf r}_M+\Delta {\mathbf r}_{sol}+\Delta {\mathbf r}_{ocn}+\Delta {\mathbf r}_{pol} \qquad\mbox{(1}) }[/math]


where [math]\displaystyle{ {\mathbf r}_M }[/math] is given by equation (2).
[math]\displaystyle{ {\mathbf r}_{0}={\mathbf r}_M+{\boldsymbol \Delta}_{ARP}+{\boldsymbol \Delta}_{APC} \qquad\mbox{(2}) }[/math]


where [math]\displaystyle{ {\mathbf r}_{M} }[/math] is the position of Monument Marker in a ECEF reference frame. [math]\displaystyle{ {\boldsymbol \Delta}_{ARP} }[/math] is the offset vector defining the ARP position relative to the Monument Marker, and [math]\displaystyle{ {\boldsymbol \Delta}_{APC} }[/math] the offset vector defining the APC position relative to the ARP (see Receiver Antenna Phase Centre).