Irregular Webcomic!

Archive     Cast     Forum     RSS     Books!     Poll Results     About     Search     Fan Art     Podcast     More Stuff     Random     Support on Patreon    
Updates: Monday, Tuesday, Thursday, Friday; reruns all other days
<   No. 2679   2010-05-28   >

Comic #2679

1 {scene: The Atlantic}
1 Long Tom: Arrrr! The maelstrom be spittin' us out! Where be we? Be takin' a readin'!
2 Dirque: Cap'n! We be in the year 1940!
3 Long Tom: Ye be determinin' that with a sextant?
3 Dirque: Nay, I be usin' me GPS system.
4 Long Tom: GPS?
4 Dirque: General Piratin' Savvy.

First (1) | Previous (2678) | Next (2680) || Latest Rerun (1568) | Latest New (3664)
First 5 | Previous 5 | Next 5 | Latest 5
Pirates theme: First | Previous | Next | Latest || First 5 | Previous 5 | Next 5 | Latest 5
This strip's permanent URL: http://www.irregularwebcomic.net/2679.html
Annotations off: turn on
Annotations on: turn off

In our reality, GPS stands for Global Positioning System, which is a system that uses multiple artificial satellites to provide navigational position information to Earth-based receiver units.

Essentially, the system works by allowing you to measure your distance precisely from a number of satellites:

But how do you get the distance to the satellites? Well, each of the approximately 30 satellites broadcasts a precise timing signal. This timing signal takes a different amount of time to reach you depending on how far away the satellite is, because of the finite speed of light. So if you know the time at your own location very precisely, you can simply subtract the satellite's broadcast time from that and multiply by the speed of light to give you the distance.

In practice, however, a GPS receiver doesn't know what the time is to enough precision. This means you have an extra unknown in your mathematical calculations. As you know, if you've remembered how to solve simultaneous equations from school, an extra unknown means you need an extra equation to solve the system. Which means if you can detect timing signals from four satellites, you can solve for the precise time and the three spatial coordinates that define your location as being one of the two possible points mentioned above.

This is actually enough to give you your location, on the assumption that you are close to the surface of the Earth. By close, I mean within a dozen or so kilometres - so this also works if you're in a plane, and it would also work if you were underground, except for the small detail that the GPS radio signals don't penetrate the ground, so you wouldn't actually be able to detect them in the first place. The second possible point you could be at, given your position relative to the GPS satellites, is almost certainly in deep space somewhere - and obviously you're not likely to be there.

In practice there are a lot of fiddly details and corrections for things like clock drift, atmospheric effects, and so on, which means that your calculated position carries with it a certain uncertainty. The more satellites you can see above the horizon and free of blocking objects (like mountains or buildings), the more information your GPS receiver can use and the more accurately your position can be figured out.

Interestingly, although GPS receivers are capable of calculating two possible locations from three satellite signals, civilian GPS receivers capable of reporting to the user the non-Earth-based second possible location are not allowed to be exported from the USA, under the International Traffic in Arms Regulations. (Which means, effectively, that no civilian GPS manufacturer will make such devices.) Firstly, you don't need to know that solution, since obviously you're not going to be in deep space. But then again, what's so harmful about knowing that position that the US government have seen fit to make it illegal export GPS receiver capable of telling you what it is?

Well it's also illegal to export GPS receivers to report your location if you're at an altitude higher than 18 km and travelling at a speed of over 515 metres per second (or 1000 knots). The reason is that if you are both of these things, then you're probably a ballistic missile... Obviously the US government doesn't want anyone to be using readily available GPS receivers for guiding home-made (or terrorist made) ballistic missiles.

Another interesting thing about GPS is that, despite calculating your position being quite tricky and requiring multiple satellite fixes and solving a system of simultaneous equations, determining your velocity is pretty easy. A signal from a single satellite gives you your velocity component in a direction along the sightline, because the radio frequency of the timing signal is Doppler shifted, and that shift can be measured easily and turned into a velocity.

LEGO® is a registered trademark of the LEGO Group of companies, which does not sponsor, authorise, or endorse this site.
This material is presented in accordance with the LEGO® Fair Play Guidelines.

Irregular Webcomic! | Darths & Droids | Planet of Hats | The Prisoner of Monty Hall
mezzacotta | Lightning Made of Owls | Square Root of Minus Garfield | The Dinosaur Whiteboard | iToons | Comments on a Postcard | Awkward Fumbles
Last Modified: Friday, 28 May 2010; 03:11:02 PST.
© 2002-2017 Creative Commons License
This work is copyright and is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 Unported Licence by David Morgan-Mar. dmm@irregularwebcomic.net