New Numerical Method for Solving Radiation Driven Winds from Hot

M. CURÉ; D. RIAL

ASTRONOMISCHE NACHRICHTEN

WILEY

Año: 2007 vol. 328 p. 513 - 520

1521-3994

We present a general method for solving the non–linear differential equation of steady– state radiation driven winds. We graphically identify all the singular points before trans- forming the momentum equation to a system of differential equations with all the gra- dients explicitly give. This permits a topological classification of all singular points and to calculate the maximum and minimum mass–loss of the wind. We use our method to analyse for the first time the topology of the non–rotating frozen in ionisation m–CAK wind, with the inclusion of the finite disk correction factor and find up to 4 singular points, three of the x–type and one attractor–type. The only singular point (and solu- tion passing through) that satisfies the boundary condition at the stellar surface is the standard m–CAK singular point.