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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    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    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 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 are output values from ISA-Wind, whereas log    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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