# Solid angle definition from an ellipsoid surface

Let assume there is a unit sphere inside a oblate spheroid with minor axis 1 and major axis b. What is the surface area in the oblate spheroid surface produced from extending the subtended solid angle $$\omega$$ in the sphere?

• It’s obviously going to depend on the location and shape of the patch of the sphere that comprises that solid angle. – amd Jan 10 at 3:11
• Exactly, but is there a particular technique to described the relationship? – Jose E Calderon Jan 10 at 8:52
• You could try inverting the computation of solid angle for a patch of the ellipsoid: project from the unit sphere onto the ellipsoid and compute the resulting surface integral. – amd Jan 10 at 9:13
• @amd Thanks for pointing this out! It is Spheroid. Have corrected question. To be more specific- a Oblate Spheroid. – Jose E Calderon Jan 10 at 9:29
• you can well reduce the problem to 2D – G Cab Jan 10 at 9:38