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Started by Alistair Grant (@captain_al) ·

how GPS has to correct for relativity

5 sources · 27 min down the hole

How I got here

Started with
Does GPS really need relativity?
Ended at
Atomic clock

The Trail

  1. “gps relativity correction” (google.com)
  2. Global Positioning System (en.wikipedia.org)
  3. Error analysis for the Global Positioning System (en.wikipedia.org)
  4. Gravitational time dilation (en.wikipedia.org)
  5. Atomic clock (en.wikipedia.org)

What I came away with

Satellite clocks run fast by about 45 microseconds a day from weaker gravity and slow by about 7 from their speed, a net of roughly 38 microseconds. Uncorrected, position errors would build up by kilometers per day.

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