The effects of aberration and advection in plane-parallel and absorbing media

We have calculated the changes that would occur in mean intensity due to the presence of aberration and advection terms in radiative transfer equation. We have considered an absorbing medium with velocities 1000, 2000, 3000, 4000, and 5000 km s−1 (β-0.0033, 0.017, where β=V/C,V is the velocity of the medium andC is the velocity of the light). Calculations have been done in a comoving frame with monochromatic radiation field. We have calculated the deviation in mean intensity defined as\(\bar J = \{ [J(V = 0) - J(V > 0)]/J(V = 0)]\), whereJ is the mean intensity. We have taken two types of absorbing media (1) with a source of constant emission and (2) with emission source. As the emission decreases as 1/n2 wheren is the number of layer, wheren=1 corresponds to τmax and n=N corresponds to τ=0