The steady state solutions of radiatively driven stellar winds for a non-Sobolev, pure absorption model

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Early Stars, Radiative Transfer, Steady State, Stellar Models, Stellar Spectra, Stellar Winds, Acoustic Velocity, Approximation, Boundary Value Problems, Time Dependence, Wind Velocity

Scientific paper

The steady state solution topology for absorption line-driven flows is investigated for the condition that the Sobolev approximation is not used to compute the line force. The solution topology near the sonic point is of the nodal type with two positive slope solutions. The shallower of these slopes applies to reasonable lower boundary conditions and realistic ion thermal speed v(th) and to the Sobolev limit of zero of the usual Castor, Abbott, and Klein model. At finite v(th), this solution consists of a family of very similar solutions converging on the sonic point. It is concluded that a non-Sobolev, absorption line-driven flow with a realistic values of v(th) has no uniquely defined steady state. To the extent that a pure absorption model of the outflow of stellar winds is applicable, radiatively driven winds should be intrinsically variable.

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