The grey atmosphere in the Eddington approximation predicts the limb-darkening law .

PHYSICS · Multi-part · Fermi University Physics · Astrophysics & Cosmology · Radiation, radiative transfer and stellar atmospheres · Radiation, radiative transfer and stellar atmospheres

Stars from the Inside, Ch Radiative transfer solved: the grey atmosphere, the diffusion limit and the curve of growth

Problem

The grey atmosphere in the Eddington approximation predicts the limb-darkening law I(0,μ)/I(0,1)=(2+3μ)/5I(0,\mu)/I(0,1) = (2+3\mu)/5. ((a)) Find the predicted intensity ratio at μ=0.5\mu = 0.5. ((b)) Find the direction cosine μ\mu at which the predicted ratio falls to exactly 0.50.5.

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