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Topic: gps
Replies: 0

 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.