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"content": "Calculating the fractional frequency shift of the satellite clock compared to the ground clock is a homework problem in GR textbooks. \n\nOrbiting at 4.2 Earth radii, SR slows it down by ~ 250 parts in 10¹². The GR effect speeds it up by ~ 697 parts in 10¹².\n\nGeneral relativity produces the larger effect, and the orbiting clocks runs ahead of the earthbound clock by around 446 parts in 10¹². That’s an extra 38,500 nanoseconds per day. \n\nThis is a lot for GPS, which requires really precise timing.",
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