RNAV Training Manual - Keilir
RNAV Training Manual - Keilir
RNAV Training Manual - Keilir
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How does GPS work?<br />
9. Illustration of the GPS navigation calculation<br />
Stage 2: The accurate fix<br />
Two dimensional illustration of the GPS navigation calculation<br />
Determining pseudorange from 3 satellites results in<br />
3 equations with 3 unknowns: the x,y position of the<br />
receiver and t, the local clock bias<br />
Satellite position known from<br />
Navigation Message ephemeris data<br />
Pseudoranges g calculated from<br />
PRN correlation time shift<br />
Clock bias unknown,<br />
thus receiver position<br />
unknown<br />
The navigation processor solves these equations to<br />
determine a clock bias which gives the best intersect<br />
between the three bias-adjusted true range arcs<br />
Pseudorange arc<br />
True range arc<br />
Best fit local clock bias<br />
(all three black arrows represent<br />
the same clock bias)<br />
Best fit position p<br />
solution<br />
The actual method used is analogous to this; 4 satellites provide 4 range spheres spheres, and thus<br />
4 equations to solve for the unknown 3D x,y,z position of the receiver and its clock bias<br />
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