An Introduction to Modern Astrophysics · Problem 9.18

The Interiors of Stars — Carroll & Ostlie

Physics — Astrophysics · eddington-approximation-intensity-isotropy

Problem

Using the Eddington approximation for a plane-parallel atmosphere, determine the values of

I_{\rm in}

and

I_{\rm out}

as functions of the vertical optical depth. At what depth is the radiation isotropic to within 1\%?