The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: gps
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  

Posts: 5
Registered: 1/25/05
Posted: Sep 19, 2012 5:12 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


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:

Then from satellites located at vectors A,B,C at scalar distances AD, BD,
this is how I calculated the position D:

This page is long with a lot of equations, but to cut to the chase, enter
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


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.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.