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Geometric Range Modelling: Difference between revisions

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The geometric range <math>\rho</math> is the Euclidean distance between the satellite and receiver coordinates at the transmission and reception time, respectively:
The geometric range <math>\rho</math> is the Euclidean distance between the satellite and receiver coordinates at the transmission and reception time, respectively:


<math>\rho_{rcv}^{sat}=  \left\| r_{rcv}-r^{sat} \right \|=\sqrt{(x_{rcv}-x^{sat})^2+(y_{rcv}-y^{sat})^2+(z_{rcv}-z^{sat})^2} </math>
<math>\rho_{rcv}^{sat}=  \left\| r_{rcv}-r^{sat} \right \|=\sqrt{(x_{rcv}-x^{sat})^2+(y_{rcv}-y^{sat})^2+(z_{rcv}-z^{sat})^2} </math>

Revision as of 15:41, 29 March 2011


FundamentalsFundamentals
Title Geometric Range Modelling
Author(s) J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
Level Medium
Year of Publication 2011
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The geometric range [math]\displaystyle{ \rho }[/math] is the Euclidean distance between the satellite and receiver coordinates at the transmission and reception time, respectively:


[math]\displaystyle{ \rho_{rcv}^{sat}= \left\| r_{rcv}-r^{sat} \right \|=\sqrt{(x_{rcv}-x^{sat})^2+(y_{rcv}-y^{sat})^2+(z_{rcv}-z^{sat})^2} }[/math]


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The algorithms to compute the transmission time from the measurement time,the satellite coordinates as well as the geometric-range pre-modelling are provided in the following entries: