
#1
Nov2211, 12:41 AM

P: 54

Hello,
I need to calculate how accurate a GPS system is using only Special Relativity and a very basic knowledge of GR (without tensors...which is limited). I'm not sure where to begin however... where does the uncertainty in the measurement come from? How can I calculate the size of the uncertainty of a GPS position? Any references or insight would be GREATLY APPRECIATED. Thanks PF, J 



#2
Nov2411, 03:53 AM

P: 604

You can pretty much calculate the discrepancy using the following equations and quantities
Time dilation due to gravity (GR) [tex]d\tau=dt\sqrt{1\frac{2M}{r}}[/tex] where [itex]M=Gm/c^2[/itex] Time dilation due to velocity (SR) [tex]d\tau=dt\sqrt{1\frac{v^2}{c^2}}[/tex] Quantities required Earth's mass Earth's (mean) radius satellite's altitude satellite's velocity 


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