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{{Article Infobox2
{{Article Infobox2
|Category=Fundamentals
|Category=Fundamentals
|Authors=J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
|Level=Basic
|YearOfPublication=2011
|Title={{PAGENAME}}
|Title={{PAGENAME}}
|Authors= J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
|Level=Medium
|YearOfPublication=2011
|Logo=gAGE
}}
}}
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_{rcv}^{sat}</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\|{\mathbf r}^{sat}-{\mathbf r}_{rcv}\right \|=\sqrt{(x^{sat}-x_{rcv})^2+(y^{sat}-y_{rcv})^2+(z^{sat}-z_{rcv})^2} \qquad \mbox{(1)}</math>




==Related Articles==
==Related Articles==
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:
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:


*[[Geometric Range Modelling Satellite Coordinates]]
*[[Satellite Coordinates]]
*[[Geometric Range Modelling Relative Path Range Effect]]
*[[Relativistic Path Range Effect]]


[[Category:Fundamentals]]
[[Category:Fundamentals]]
[[Category:GNSS Measurements Modelling]]
[[Category:GNSS Measurements Modelling]]

Latest revision as of 11:41, 13 January 2013


FundamentalsFundamentals
Title Geometric Range Modelling
Author(s) J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
Level Basic
Year of Publication 2011

The geometric range [math]\displaystyle{ \rho_{rcv}^{sat} }[/math] is the Euclidean distance between the satellite and receiver coordinates at the transmission and reception time, respectively:


[math]\displaystyle{ \rho_{rcv}^{sat}=\left\|{\mathbf r}^{sat}-{\mathbf r}_{rcv}\right \|=\sqrt{(x^{sat}-x_{rcv})^2+(y^{sat}-y_{rcv})^2+(z^{sat}-z_{rcv})^2} \qquad \mbox{(1)} }[/math]


Related Articles

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: