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Geometric Range Modelling: Difference between revisions
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<math>\rho_{rcv}^{sat}=\left\| {\mathbf r}_{rcv}-{\mathbf 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}_{rcv}-{\mathbf r}^{sat}\right \|=\sqrt{(x_{rcv}-x^{sat})^2+(y_{rcv}-y^{sat})^2+(z_{rcv}-z^{sat})^2} \qquad \mbox{(1)}</math> | ||
Revision as of 08:32, 8 August 2011
| Fundamentals | |
|---|---|
| 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 |
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}_{rcv}-{\mathbf r}^{sat}\right \|=\sqrt{(x_{rcv}-x^{sat})^2+(y_{rcv}-y^{sat})^2+(z_{rcv}-z^{sat})^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: