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
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