3D closed-form triangulation solution

[Lagomorph]

Hi,
I have 3 points in 3D space whose positions are known to me and a third target point, whose position I am trying to find. I can obtain the distance between each of the 3 points and the target point. I can easily get 3 equations to obtain the 3 coordinate variables, but these equations are nonlinear.

Do you guys know how I could get a simple, closed-form solution for each of the coordinate variables defining the target point? I figured that this would be a fairly standard problem, but I'm having finding anything written about it.

Thanks in advance.

 

[D H]

This isn't triangulation. Triangulation involves angles. You want something involving distance ... trilateration. See this wiki article on http://en.wikipedia.org/wiki/Trilateration" .