How GPS Uses Relativity
Lesson notes
Overview
Satellite clocks need corrections for both speed and gravity. This topic is rated advanced and is number 221 of 227 in Physics. Deeper models, formal results and harder reasoning.
What you are seeing
The panel above shows the steps of a process, laid out in order. Click a step to see what happens next. The animation is drawn live from the model, so everything you see responds to the sliders. Press Space to pause, use Restart to replay from the start, and change the speed to slow down quick events.
In depth
GPS satellites carry atomic clocks, and relativity affects them in two ways. Their orbital speed slows their clocks by about 7 microseconds per day, while the weaker gravity at altitude speeds them up by about 45 microseconds per day, a net gain of roughly 38 microseconds per day. Left uncorrected, position errors would grow by about 10 km every day. The clocks are therefore adjusted before launch, a practical confirmation of both special and general relativity.
Reading the relationship
The expression "38 µs per day" is a compact summary of the idea. It uses the symbols s, p, e, r, d, a; name what each one stands for before you start. Then use the sliders to see how changing one quantity changes the others.
A guided exploration
1. Run the animation once with the default settings and describe in words what happens. 2. Change one slider at a time and note which quantity responds most. 3. Push each slider to its extreme and decide whether the result still makes sense.
Try this
Try to explain why the pattern holds, not just what it is. Look for limiting cases and what happens at the edges.
Common pitfalls
Check units and directions first. Many mistakes come from mixing up a scalar with a vector, or from using a formula outside the conditions where it holds.
How it connects
It builds on “How a Nuclear Reactor Works”, the topic before it in Physics. Once you are comfortable, continue with “Hydrostatic Pressure vs Depth for Water”.
Why it matters
Physics explains how the world moves, heats, shines and interacts, and the same principles power technology around you.
Where you might use it
- Revising “How GPS Uses Relativity” before a class, exam or certification
- Designing vehicles, bridges and devices where motion, forces or waves must be predicted
- Understanding how sensors, lasers and communication links actually work
- Explaining everyday phenomena such as sound, light, heat and orbits
Frequently asked questions
What is How GPS Uses Relativity?
Satellite clocks need corrections for both speed and gravity. It is an advanced topic in Physics.
How do I use the How GPS Uses Relativity simulation?
The panel at the top shows the steps of a process, laid out in order. Click a step to see what happens next. Move the sliders one at a time, then press Space to pause the animation and look closer.
What does the formula mean?
The expression 38 µs per day packs the idea into symbols. Name each symbol first, then change one quantity with the sliders and see which others respond.
Who is this topic for?
Deeper models, formal results and harder reasoning. If the quiz feels hard, reread the lesson notes and try the previous topic first.
What should I learn before this?
Start with “How a Nuclear Reactor Works”, the previous topic in Physics. Each topic in a subject builds on the ones before it.
How do I track my progress?
Press “Mark as learned” on this page. Progress is stored only in this browser and is never sent anywhere. The Browse page can show topics you have learned or still need to learn.