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

Question 71

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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.

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A speed of 20,000 km/h would mean 5.56 k...

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