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The emergent intensity from a star's atmosphere is I1.
Before the light from the star reaches the observer, it
passes through a dust shell with optical depth T < 1 and
source function S which is independent of T.
Beginning with the equation of radiative transfer
IS, show that the observed intensity is,
dI
dT
=
10 ≈ I₁ (1 − T) + ST.
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