Analytical solutions for radiation-driven winds in massive stars – II. The δ-slow regime
Fecha
2021
Autores
Araya, I
Christen, A
Curé, M
Cidale, L S
Venero, R O J
Arcos, C
Gormaz-Matamala, A C
Haucke, M
Escárate, P
Clavería, H
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Royal Astronomical Society
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Facultad de Ciencias
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Instituto de Fisica y Astronomia
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Resumen
Accurate mass-loss rates and terminal velocities from massive stars winds are essential to obtain synthetic spectra from radiative transfer calculations and to determine the evolutionary path of massive stars. From a theoretical point of view, analytical expressions for the wind parameters and velocity profile would have many advantages over numerical calculations that solve the complex non-linear set of hydrodynamic equations. In a previous work, we obtained an analytical description for the fast wind regime. Now, we propose an approximate expression for the line-force in terms of new parameters and obtain a velocity profile closed-form solution (in terms of the Lambert W function) for the δ-slow regime. Using this analytical velocity profile, we were able to obtain the mass-loss rates based on the m-CAK theory. Moreover, we established a relation between this new set of line-force parameters with the known stellar and m-CAK line-force parameters. To this purpose, we calculated a grid of numerical hydrodynamical models and performed a multivariate multiple regression. The numerical and our descriptions lead to good agreement between their values.
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HYDRODYNAMICS, METHODS: ANALYTICAL, STARS: EARLY-TYPE, STARS: MASS-LOSS, STARS: WINDS, OUTFLOWS
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© 2021 The Author(s) Published by Oxford University Press on behalf of Royal Astronomical Society