Table A.2
Iteration cycles for the wind from an O-giant star rotating with Vrot = 300 km s-1 at the pole (see upper table) and at the equator (see lower table) without distortion.
| Step | v ∞ | log Ṁ | v ∞, fit | β | γ fit | δ fit |   |   |   | 
| no. | [km s-1] | [M⊙/yr] | [km s-1] | ||||||
|  | |||||||||
| –1 | 3000 | –4.700 | – | 1.0000 | – | – | – | – | – | 
| 0 | 5137 | –4.998 | 2622 | 0.8734 | 0.7468 | 0.5186 | 1.0023 | 1.0104 | 1.0180 | 
| 1 | 3087 | –5.427 | 3504 | 0.8442 | 0.6885 | 0.7625 | 1.0001 | 1.0134 | 1.0153 | 
| 2 | 2680 | –5.429 | 3525 | 0.8546 | 0.7092 | 0.8491 | 0.9984 | 1.0145 | 1.0173 | 
| 3 | 2806 | –5.377 | 3306 | 0.8685 | 0.7370 | 0.8434 | 0.9983 | 1.0143 | 1.0178 | 
| 4 | 3084 | –5.369 | 3311 | 0.8534 | 0.7067 | 0.8049 | 1.0024 | 1.0140 | 1.0178 | 
| 5 | 2843 | –5.402 | 3399 | 0.8564 | 0.7129 | 0.8350 | 0.9999 | 1.0142 | 1.0172 | 
| 6 | 3010 | –5.388 | 3371 | 0.8456 | 0.6912 | 0.8117 | 1.0028 | 1.0142 | 1.0176 | 
| 7 | 2654 | –5.401 | 3379 | 0.8700 | 0.7400 | 0.8628 | 0.9960 | 1.0143 | 1.0173 | 
| 8 | 3081 | –5.361 | 3280 | 0.8525 | 0.7051 | 0.7982 | 1.0024 | 1.0140 | 1.0180 | 
| Step | v ∞ | log Ṁ | v ∞, fit | β | γ fit | δ fit |   |   |   | 
| no. | [km s-1] | [M⊙/yr] | [km s-1] | ||||||
|  | |||||||||
| –1 | 3000 | –4.700 | – | 1.0000 | – | – | – | – | – | 
| 0 | 4284 | –4.998 | 2622 | 0.8751 | 0.7503 | 0.5198 | 1.0022 | 1.0104 | 1.0180 | 
| 1 | 2674 | –5.332 | 3212 | 0.8433 | 0.6866 | 0.7494 | 1.0013 | 1.0132 | 1.0156 | 
| 2 | 2304 | –5.326 | 3144 | 0.8509 | 0.7018 | 0.8030 | 0.9986 | 1.0140 | 1.0173 | 
| 3 | 2384 | –5.262 | 2951 | 0.8508 | 0.7017 | 0.7648 | 0.9987 | 1.0137 | 1.0179 | 
| 4 | 2430 | –5.229 | 2882 | 0.8484 | 0.6968 | 0.7557 | 0.9992 | 1.0136 | 1.0176 | 
| 5 | 2447 | –5.203 | 2911 | 0.8434 | 0.6868 | 0.7232 | 0.9986 | 1.0135 | 1.0174 | 
| 6 | 2576 | –5.185 | 2955 | 0.8235 | 0.6470 | 0.6754 | 1.0009 | 1.0135 | 1.0172 | 
| 7 | 2422 | –5.198 | 2973 | 0.8136 | 0.6273 | 0.6819 | 1.0003 | 1.0136 | 1.0167 | 
| 8 | 2329 | –5.177 | 2912 | 0.8125 | 0.6250 | 0.6818 | 0.9992 | 1.0137 | 1.0168 | 
| 9 | 2505 | –5.144 | 2945 | 0.7939 | 0.5877 | 0.6153 | 1.0012 | 1.0136 | 1.0168 | 
| 10 | 2358 | –5.154 | 2997 | 0.7832 | 0.5663 | 0.6105 | 1.0003 | 1.0137 | 1.0163 | 
| 11 | 2306 | –5.134 | 2928 | 0.7765 | 0.5530 | 0.6071 | 1.0004 | 1.0138 | 1.0164 | 
| 12 | 2532 | –5.113 | 3021 | 0.7488 | 0.4977 | 0.5316 | 1.0030 | 1.0137 | 1.0162 | 
| 13 | 1994 | –5.140 | 2964 | 0.7599 | 0.5197 | 0.5962 | 0.9968 | 1.0140 | 1.0157 | 
| 14 | 2369 | –5.062 | 2905 | 0.7431 | 0.4863 | 0.4975 | 1.0007 | 1.0137 | 1.0164 | 
| 15 | 2366 | –5.083 | 2975 | 0.7290 | 0.4580 | 0.5025 | 1.0023 | 1.0138 | 1.0157 | 
| 16 | 2274 | –5.093 | 3021 | 0.7225 | 0.4450 | 0.5036 | 1.0021 | 1.0140 | 1.0156 | 
| 17 | 2235 | –5.082 | 3000 | 0.7167 | 0.4335 | 0.4935 | 1.0020 | 1.0140 | 1.0157 | 
| 18 | 2190 | –5.069 | 2968 | 0.7101 | 0.4202 | 0.4827 | 1.0018 | 1.0140 | 1.0156 | 
| 19 | 2213 | –5.055 | 2976 | 0.7030 | 0.4060 | 0.4598 | 1.0019 | 1.0140 | 1.0156 | 
| 20 | 2059 | –5.051 | 2941 | 0.7086 | 0.4172 | 0.4690 | 0.9995 | 1.0140 | 1.0155 | 
| 21 | 2141 | –5.023 | 2920 | 0.7090 | 0.4180 | 0.4396 | 0.9991 | 1.0139 | 1.0156 | 
| 22 | 1988 | –5.022 | 2823 | 0.7304 | 0.4607 | 0.4808 | 0.9949 | 1.0138 | 1.0154 | 
| 23 | 2453 | –4.996 | 2855 | 0.7137 | 0.4275 | 0.4261 | 1.0015 | 1.0136 | 1.0157 | 
Notes. The variable stellar and wind parameters at each iteration step until convergence. For the fixed stellar parameters L   (θ), Teff   (θ), R   (θ), M, and Γ   (θ) at the pole and the equator, respectively, see upper part of Table 2 in Sect. 4. The line acceleration parameters γfit (or equivalently β), δfit and  , and the terminal velocity v∞,   fit, were determined by (a simplified version of) fitting formula Eq. (71), applied to the results from a numerical calculation of the line acceleration
, and the terminal velocity v∞,   fit, were determined by (a simplified version of) fitting formula Eq. (71), applied to the results from a numerical calculation of the line acceleration  at the pole (θ = 0) or at the equator (θ = π/2), respectively. The parameter
 at the pole (θ = 0) or at the equator (θ = π/2), respectively. The parameter  (in the β velocity law, Eq. (64)) and the sonic radius
 (in the β velocity law, Eq. (64)) and the sonic radius  are output values from ISA-Wind, whereas log   Ṁ is the improved estimated mass-loss rate numerically obtained (by MC-Wind and Eq. (74)); see also description of the converging iteration process in Table A.1.
 are output values from ISA-Wind, whereas log   Ṁ is the improved estimated mass-loss rate numerically obtained (by MC-Wind and Eq. (74)); see also description of the converging iteration process in Table A.1.
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