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# Geometric Range Modelling

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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: