GPS
satellites orbit the earth with a speed of 14000 km/hr relative to
fixed positions on earth. Is this a relativistic speed? By how much
do clocks on the satellites lag behind clocks on earth per day? If
the timing of signals from the satellites received by an earth
receiver must have 20 ns precision to determine position within 5
meters, can special relativity be ignored? How long before the
difference in time measurements would exceed the required
precision?