Inversion of Thomson scattered spectropolarimetric line profiles to yield the velocity structure of rotating or expanding circumstellar discs

Astronomy and Astrophysics – Astrophysics

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Polarisation, Circumstellar Matter, Line: Profiles Stellar

Scientific paper

Using previous analytic expressions for the Stokes fluxes of a narrow line scattered in a moving disc, we formulate the cases of disc rotation only and disc expansion only as integral equations relating the unknown density and gradient weighted disk bulk velocity distribution to the observed Stokes flux line profiles. It is shown how these equations can be solved analytically for the weighted velocity distributions and the system inclination, for exact data. In the case of real noisy data the analytic forms of the integral equations provides a convenient basis for methods of statistical inversion.

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