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Natural Sciences · Intermediate · Lesson 6 of 7

How GPS Works

Timing signals from orbit

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • GPS measures distance from signal travel time: d=c Δtd = c\,\Delta t.
  • A 1 μs clock error means 300 m of distance error.
  • Four satellites solve for position and the receiver’s clock error.
  • Relativity shifts the satellite clocks by 38 μs per day, which must be corrected.

Steps

  1. Distance from time
  2. A tiny timing error
  3. Solve for the clock error
  4. From orbit
  5. How many satellites?
  6. Without relativity