4 ms·
Came here to (wrongly) correct your statement, as I remembered that the only relevant effect was from special relativity. It turns out it is the exact opposite
by muxator 8y ago
Came here to (wrongly) correct your statement, as I remembered that the only relevant effect was from special relativity.
It turns out it is the exact opposite: general relativity effects prevail [0]. Thanks for forcing me to check!
> Special Relativity predicts that the on-board atomic clocks [...] should fall behind clocks on the ground by about 7 microseconds per day [...] due to the time dilatation effect of their relative motion.
> Further, the satellites are in orbits [...] where the curvature of spacetime due to the Earth's mass is less than it is at the Earth's surface. A prediction of General Relativity is that clocks closer to a massive object will seem to tick more slowly [...]. A calculation using General Relativity predicts that the clocks in each GPS satellite should get ahead of ground-based clocks by 45 microseconds per day.
> The combination of these two relativitic effects means that the clocks on-board each satellite should tick faster than identical clocks on the ground by about 38 microseconds per day (45-7=38)!
[0] http://www.astronomy.ohio-state.edu/~pogge/Ast162/Unit5/gps.html http://www.astronomy.ohio-state.edu/~pogge/Ast162/Unit5/gps....