The Global Positioning System (GPS) relies on very accurate atomic clocks aboard a network of 24 satellites, each of which orbits the Earth in 12 hours To provide a resolution better than 1 meter on Earth, the clocks must not gain or lose more than 3 ns in 12 hours That is, the clocks must be accurate to 3 x 10-⁹ s/(12 hr) = 7 × 10-14 The satellites move at a speed v = 3.9 km/s in circular DO

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The Global Positioning System (GPS) relies on
very accurate atomic clocks aboard a network of
24 satellites, each of which orbits the Earth in 12 hours.
To provide a resolution better than 1 meter on Earth, the
clocks must not gain or lose more than 3 ns in 12 hours.
That is, the clocks must be accurate to
3 x 10-⁹ s/(12 hr) = 7 × 10-14
The satellites move at a speed v = 3.9 km/s in circular
orbits. Is it necessary for GPS receivers on Earth to
account for special relativistic effects?
Transcribed Image Text:The Global Positioning System (GPS) relies on very accurate atomic clocks aboard a network of 24 satellites, each of which orbits the Earth in 12 hours. To provide a resolution better than 1 meter on Earth, the clocks must not gain or lose more than 3 ns in 12 hours. That is, the clocks must be accurate to 3 x 10-⁹ s/(12 hr) = 7 × 10-14 The satellites move at a speed v = 3.9 km/s in circular orbits. Is it necessary for GPS receivers on Earth to account for special relativistic effects?
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