Derivation of episodic mass loss functions for hot stars from polarimetric and absorption line data

Statistics – Computation

Scientific paper

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Absorption Spectra, Astronomical Polarimetry, Hot Stars, Stellar Mass Ejection, Computational Astrophysics, Stellar Envelopes, Thomson Scattering

Scientific paper

Expressions are derived for the time-dependent continuum polarization of starlight after (single) Thomson scattering in an axisymmetric envelope, and for the strength of an absorption line, in terms of integrals over the angular distribution and previous history of the stellar mass loss rate. Under the approximation of constant envelope expansion speed, and parametrizing the mass loss angular distribution in terms of a time dependent equatorial concentration shape factor, it is shown that the resulting pair of integral equations has an explicit Fourier solution for the time dependence of the mass loss rate and shape, in terms of the polarization and line strength 'light curves'. The method is illustrated for the simpler case of no 'shape' variations using both simulated data and for real data.

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