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Coordinates Computation from Almanac Data: Difference between revisions

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The almanac data allow to compute a raw estimation of the satellites coordinates (1-2 km  1-$\sigma$ error), which is needed for signal acquisition by the receiver.
The almanac data allow to compute a raw estimation of the satellites coordinates (1-2 km  <math>1- \sigma</math> error), which is needed for signal acquisition by the receiver.


The almanac data consist of a reduced set of parameters (with respect to broadcast ephemeris), as it is shown in table 1 for GPS satellites. Similar data is broadcast for Galileo.
The almanac data consist of a reduced set of parameters (with respect to broadcast ephemeris), as it is shown in table 1 for GPS satellites. Similar data is broadcast for Galileo.


Thence, the same equations as in article [[GPS and Galileo Satellite Coordinates Computation]] can be used to compute the coordinates from almanac, just taking:
Thence, the same equations as in article [[GPS and Galileo Satellite Coordinates Computation]] can be used to compute the coordinates from almanac, just taking:
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::<math> \Delta n =C_{uc}=C_{us}=C_{rc}=C_{rs}=C_{ic}=C_{is}=0</math>
::<math> \Delta n =C_{uc}=C_{us}=C_{rc}=C_{rs}=C_{ic}=C_{is}=0</math>


and
:and


::<math> i=54^o+\delta i \qquad \mbox{(GPS satellites)} </math>
::<math> i=54^o+\delta i \qquad \mbox{(GPS satellites)} </math>




::[[File: Coord_Comp_Alm.png|none|thumb|400px|'''''Table 1:''''' GPS broadcast almanac parameters.]]   
::[[File: Coord_Comp_Alm.png|none|thumb|640px|'''''Table 1:''''' GPS broadcast almanac parameters.]]   





Revision as of 10:05, 5 August 2011


FundamentalsFundamentals
Title Coordinates Computation from Almanac Data
Author(s) J. Sanz Subirana, JM. Juan Zornoza and M. Hernandez-Pajares, University of Catalunia, Spain.
Level Medium
Year of Publication 2011
Logo gAGE.png


The almanac data allow to compute a raw estimation of the satellites coordinates (1-2 km [math]\displaystyle{ 1- \sigma }[/math] error), which is needed for signal acquisition by the receiver.

The almanac data consist of a reduced set of parameters (with respect to broadcast ephemeris), as it is shown in table 1 for GPS satellites. Similar data is broadcast for Galileo.


Thence, the same equations as in article GPS and Galileo Satellite Coordinates Computation can be used to compute the coordinates from almanac, just taking:

[math]\displaystyle{ \Delta n =C_{uc}=C_{us}=C_{rc}=C_{rs}=C_{ic}=C_{is}=0 }[/math]
and
[math]\displaystyle{ i=54^o+\delta i \qquad \mbox{(GPS satellites)} }[/math]


Table 1: GPS broadcast almanac parameters.


Notes