This is a problem I initially solved while I was a patient in the mental
hospital. A few years later I was testing it to see if it actually worked,
which it didn't, so I got into it again with a vengeance, solved every
possibility and tested all calculations for any situation on an Excel
spreadsheet. This is the result of my work. It's already been solved
before but I had to find out for myself.
http://jons-math.bravehost.com/triangulation.html
A necessary requirement for GPS is to determine the distance between the
satellite and the receiver. Somebody told me once that they do that with a
time stamp on the signal from the satellite. Even so I still don't see how
that distance can be determined. Can anyone enlighten me as to how this is
done? I can believe there's a cesium clock on the satellite, but not
synchronized with the receiver. Let me know.
My spreadsheet that instantaneously computes the solution for any input can be downloaded at,
http://jons-math.bravehost.com/triangulation/triangulation03.xls