Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.


perseus
Posts:
5
Registered:
1/25/05


gps
Posted:
Sep 19, 2012 5:12 AM


GPS
The coordinates of 3 or more satellites are known:
A=(xa, ya, za) B=(xb, yb, zb) C=(xc, yc, zc) . .
Let the coordinates of the position be,
D=(xd, yd, zd) (unknown)
However, the distances AD, BD, CD are known. This is how:
http://www.kowoma.de/en/gps/signals.htm
Then from satellites located at vectors A,B,C at scalar distances AD, BD, CD, this is how I calculated the position D:
http://trilateration.bravehost.com/
This page is long with a lot of equations, but to cut to the chase, enter the satellite positions A, B, C and the distances AD, BD, CD in the embedded spreadsheet at the end of the page for immediate solutions.
The spreadsheet carries out all of the calculations of the provided equations.
Jon
To further this project I'd like the entered data and consequent solution to display a proportional graphic of 3 intersecting spheres, which can then be rotated/zoomed to observe its aspects.



