Effects of Aberration and Advection in a Partially Scattering Medium

Astronomy and Astrophysics – Astronomy

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Scientific paper

We have investigated the effects of aberration and advection terms, which are of order ν/c (where ν is the velocity of gas and C is the velocity of light) on the solution of the radiative transfer equation. We have employed a plane-parallel medium which is moving with velocities 1000, 2000, 3000, 4000 or 5000 km s-1 (β = 0.0033, - 0.07 where (β = ν/c). The calculations have been done in the fluid frame, with monochromatic radiation field. We introduce emission sources inside the medium. We assume equal contribution from internal emission and from isotropic and coherent scattering to the radiation field. We have estimated the effects of aberration and advection on the mean intensities and on outward fluxes for different velocities and different optical depths. The effects are found in terms of the mean intensity barJ { = [J(ν = 0) - J(ν > 0)] × 100/J (ν = 0) and the outward flux barF { = [F(ν = 0) - F(ν > 0)] × 100/F (V = 0)}. We set ω (albedo for single scattering) equal to 0.5 and the Planck function equal to B(n) == 1 (case i) and B(n) ˜ 1/n2 (case ii). In case (i), the values of barJ and barF are not spectacular and the maximum changes are in the range of 2 to 3%. In case (ii) the changes are in the range of 5 to 6%.

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