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Circular plane in a sphere

  1. Aug 17, 2010 #1
    Hi everyone,

    I'm no mathematician and I've found myself a bit stuck with this problem.

    I have a sphere with a radius of one centred at the origin, and two straight lines that run through the centre. I also know, in spherical coordinates, the angles phi (horizontal rotation) and theta (vertical rotation) of each of those lines. These two lines define a circular plane within the sphere and I want to calculate the angle to each of those lines from some zero reference in the circular plane. I figure the obvious references are theta = pi/2 (because I'm not going to have a case where theta = 0 or pi) and phi = 0. However, I'm a bit stumped on how to calculate my angles from one of these references.

    Anyone have any ideas?

    Hopefully that makes sense.

    Thanks.
     
  2. jcsd
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