How does GPS work?

In this video, we deep dive into the math behind the Global Positioning System (GPS). Using simple ideas of geometry, we can accurately determine any location on Earth.

Mathematical thinking skills help us solve problems, and understand and see the world more clearly.

#math #education #learning #gps #geometry #math #maths #teaching #circles #parenting #students

[ankitashwin]

This channel's videos should get millions of views!! ❤

[mwalter]

This is very well illustrated and explained, thanks! I've gone through many videos explaining GPS, this is the best! 🤗

[palestrinha]

The explanation and effort to bring the overlaping 3D images was great! Very Nice!

[andreimunteanu]

I have a quick question: Wouldn't 3 GPS satellites suffice to pinpoint your exact location on earth? Since you will always get two intersection points, one located on the face of the earth and one somewhere in outer space, couldn't we assume that we are located on the earth?

[Jay-Atom]

Fantastic video and animation. One of the best explanations I’ve seen.

[timsong]

There's a mistake in your video. If you want to locate the point near the earth, 3 satellites is enough. Beacause one of the 2 points that calculated by 3 satellites is far away from earth, it can't be the results obviously. The reason why need 4 satellites at least is because besides 3 dimentional coordiations, another unknown one is "clock error" of the receiver. Just because the clock on the receivers can't use the atomic clocks like that on the satellites.

[BhaveshKumar-]

Thank you so much...
In was just finding videos about GPS system but didn't find anything helpful content from them and then I see your video. As you use animation for better explanation; Now my doubt is clear .
Again Thanks ❤❤

[RichardDSilva-gn]

Very well explained. I was looking for a video like this to teach my students. I teach them the subject GIS. Appreciate your efforts. Thanks.

[sehajpalsingh]

Thank you for making such good content.

[mathwithsud]

Manan sir aapke bolne ka tareeka kamal hai…. Mujhe aapko hindi mein sunna hai… aapki audience badh jayegi…. Majaaa aa gaya sun kar and aapko dekh kar… wonderfully explained

[soniyams]

Sir, Is this that simple to Understand!!!
And You made it!
Hearing you teach, motivates to teach anything as simple as possible to students! Thank You for sharing your knowledge into simple pieces.

[iuppiterzeus]

I suspect that not every GPS receiver has an atomic clock. How will it work then ? only from the time difference between the received times ?

[amarbs]

The clock in GPS receivers won't have correct time t2 so how does it get this time?

[Karthik-vgko]

what if all the three points are in same direction ..

[Muji]

YouTube channel name Mujtaba like a good time

[petrhojzak]

There were quite a few mistakes in the video. GPS device does not communicate with the satellites. It only keeps receiving. Before the GPS device can calculate distance from the satellites, it needs to sync its time with the time of the GPS satellites (it's clock can not maintain accurate time for too long). I was hoping you will show this math as it won't be easy. Also if you are using USA's GPS, you need to wait to see where the satellites actually are (unless you have downloaded assistance data not too long ago). Unlike for example Galileo, GPS does not have geo synchronous orbits. They keep sending their locations every now and then. That is why a cold start of GPS takes a longer time compared to warm start (the GPS device caches the locations for a short time). Final mistake is the minimum number of satellites, which is 3. But in this way you will get less precise 2D fix instead of a more precise 3D fix that requires 4 satellites.

[nbATlarge]

Nonsense. The 4th satellite is for time reference, as the clock in the phone or other receiver is not accurate enough to validate the signals coming from the other 3..