How GPS Works: Satellites, Signals & Triangulation

Your position, from 20,000 km above

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Trilateration: Where Three Circles Meet

Each satellite tells you its distance but not direction. That distance defines a circle of possible positions. Click to place your phone, and watch three satellite circles narrow down the location to a single point.

Click anywhere to place your position. Satellites measure their distance to you.

distance = speed_of_light * signal_travel_time
If a signal takes 0.067 seconds at 300,000 km/s, the satellite is 20,100 km away. Measure distance to three satellites and there is only one point on Earth where all three circles overlap.
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The GPS Constellation

31 satellites orbit Earth at 20,200 km altitude. They are arranged so at least 4 are visible from any point on Earth at any time. Watch them orbit.

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GPS in Everything

GPS started as a military project. Now it is embedded in nearly every device and industry.

Navigation

Car GPS, walking directions, airplane routing. 4 billion GPS devices are in use worldwide. The original military-only system was opened to civilians in 1983.

Timing

Cell towers, financial markets, and power grids use GPS for nanosecond-accurate time synchronization. GPS is as much a timing system as a location system.

Science

Geologists track tectonic plate movement (cm/year). Wildlife biologists track animal migration. Farmers use GPS-guided tractors for precision planting.

Fun Fact

GPS satellites must account for Einstein's relativity. Their atomic clocks tick 38 microseconds faster per day due to lower gravity (general relativity) and time dilation from orbital speed (special relativity). Without this correction, GPS would drift 10 km per day.

GPS Expert!

You've learned how satellites orbiting 20,000 km above Earth pin down your exact location using nothing but precise timing. Three circles of distance, overlapping at one point. Simple geometry, extraordinary precision.

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Position Fixes
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Time Exploring

Satellites Broadcast Time

Each of 31 GPS satellites broadcasts its position and the exact time from its atomic clock. Your phone receives these signals.

Distance from Delay

Light travels at 300,000 km/s. If a signal takes 0.067 seconds to arrive, the satellite is 20,000 km away. Distance = speed * time.

Trilateration Finds Position

One satellite gives a sphere of possible positions. Two satellites narrow it to a circle. Three satellites give a single point. Four corrects for clock error.

Accuracy from Atomic Clocks

GPS atomic clocks are accurate to 1 nanosecond. A 1-nanosecond error = 30 cm position error. Civilian GPS is accurate to about 3 meters.

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