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I have an Oblate Ellipsoid which I can describe as a=b=2c. The values of a, b, and c are known to me.

I've encountered multiple representations of symbols here, so...

let Phi = angle from positive z-axis: 0<= Phi <=180.

let Theta = angle from positive x-axis: 0<= Theta <=360

Phi and Theta are also known to me.

How can I determine the radius where the vector described by Phi and Theta pass through the surface of the Ellipsoid?