An Introduction to Modern Astrophysics · Problem 9.23

The Interiors of Stars — Carroll & Ostlie

Physics — Astrophysics · limb-darkening-source-function

Problem

Verify that if the source function is Sλ=aλ+bλτλ,vS_\lambda = a_\lambda + b_\lambda \tau_{\lambda,v}, then the emergent intensity is given by Eq. (9.57), Iλ(0)=aλ+bλcos⁡θI_\lambda(0) = a_\lambda + b_\lambda \cos\theta.

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