The measurement of a series of distances between points on the surface of the earth, for the purpose of establishing relative positions of the points in surveying.
Trilateration is a method for determining the intersections of three sphere surfaces given the centers and radii of the three spheres.
huerm....... my gps device so brilliant... math-power.....See this diagram.....
We start with the equations for the three spheres
and
We need to find a point located at (x, y, z) that satisfies all three equations.
First we subtract the second equation from the first and solve for x:
Substituting this back into the formula for the first sphere produces the formula for a circle, the solution to the intersection of the first two spheres:
Substituting :
into the formula for the third sphere and solving for y there results:
Now that we have the x- and y-coordinates of the solution point, we can simply rearrange the formula for the first sphere to find the z-coordinate:
All this calculation has been made and use by our GPS to do tracking
Diagram credit: Wikipedia
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Source taken from :
FauSham @ Malaysia & Singapore Free Maps - MalFreeMaps
AMATEUR RADIO CALLSIGN: 9W2WFN
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