The GPS System Requires Time Accuracy of the Order of a Few

Essay

The GPS system requires time accuracy of the order of a few tens of nanoseconds (ns) for the clocks aboard the satellites.At the high altitudes where the satellites are deployed, their orbital speeds are about 20,000 km/h.Show, considering special relativity alone, that corrections are needed in order to keep the surface of Earth and orbiting satellites synchronized to within the required accuracy.