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Geometric Range Modelling: Difference between revisions
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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. | |||
|Authors= J. Sanz Subirana, | |||
|Level=Basic | |Level=Basic | ||
|YearOfPublication=2011 | |YearOfPublication=2011 | ||
| | |Title={{PAGENAME}} | ||
}} | }} | ||
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: | 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\| {\mathbf r} | :: <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: | ||
*[[Satellite Coordinates]] | *[[Satellite Coordinates]] | ||
Latest revision as of 11:41, 13 January 2013
| Fundamentals | |
|---|---|
| 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: