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Table A.1

Iteration cycles for the equatorial wind from a rotating O5–V main-sequence star with Vrot = 300 km s-1 (see upper table) and Vrot = 500 km s-1 (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 2020 –5.500 1.0000
0 5805 –5.641 2365 0.8664 0.7329 0.4917 1.0008 1.0066 1.0175
1 4063 –6.154 3633 0.7929 0.5859 0.7077 1.0026 1.0086 1.0102
2 3002 –6.262 4077 0.7440 0.4879 0.7669 1.0039 1.0098 1.0112
3 2554 –6.199 3818 0.7279 0.4557 0.7563 1.0020 1.0101 1.0114
4 2393 –6.112 3436 0.7347 0.4693 0.7402 0.9985 1.0099 1.0114
5 2476 –6.047 3175 0.7486 0.4972 0.7262 0.9967 1.0097 1.0113
6 2843 –6.026 3143 0.7385 0.4769 0.6859 1.0012 1.0095 1.0113
7 2666 –6.064 3287 0.7310 0.4619 0.6992 1.0006 1.0096 1.0109
8 2419 –6.061 3215 0.7461 0.4923 0.7376 0.9965 1.0097 1.0110
9 2542 –6.026 3032 0.7696 0.5393 0.7554 0.9953 1.0095 1.0113
10 2915 –6.026 3086 0.7574 0.5149 0.7156 1.0005 1.0093 1.0114
Step v log    v ∞,   fit β γ fit δ fit
no. [km s-1] [M/yr] [km s-1]

–1 2020 –5.500 1.0000
0 4553 –5.641 2365 0.8664 0.7329 0.4917 1.0008 1.0066 1.0175
1 2930 –6.057 3148 0.8132 0.6265 0.7377 1.0005 1.0084 1.0105
2 2513 –6.095 3303 0.7799 0.5598 0.7572 1.0022 1.0093 1.0117
3 2116 –6.059 3146 0.7751 0.5501 0.7580 0.9984 1.0094 1.0117
4 2186 –5.982 2860 0.7727 0.5454 0.7265 0.9987 1.0092 1.0119
5 2324 –5.953 2822 0.7652 0.5304 0.6898 1.0000 1.0091 1.0117
6 1996 –5.957 2787 0.7859 0.5717 0.7361 0.9932 1.0091 1.0114
7 2262 –5.907 2608 0.7949 0.5898 0.7171 0.9962 1.0089 1.0121
8 2248 –5.923 2658 0.8031 0.6063 0.7337 0.9950 1.0089 1.0117
9 2372 –5.929 2706 0.7951 0.5903 0.7144 0.9975 1.0088 1.0119
10 2227 –5.954 2767 0.7934 0.5868 0.7292 0.9960 1.0089 1.0116
11 2176 –5.944 2707 0.8085 0.6170 0.7513 0.9936 1.0089 1.0118
12 2334 –5.930 2652 0.8106 0.6213 0.7439 0.9959 1.0088 1.0121
13 2317 –5.948 2728 0.8189 0.6378 0.7493 0.9943 1.0088 1.0119
14 2416 –5.956 2763 0.8109 0.6217 0.7408 0.9969 1.0088 1.0121
15 2528 –5.974 2887 0.7818 0.5637 0.7017 1.0006 1.0089 1.0119
16 2183 –5.997 2928 0.7853 0.5706 0.7507 0.9973 1.0092 1.0114
17 2058 –5.962 2744 0.8115 0.6230 0.7657 0.9914 1.0091 1.0119
18 2299 –5.922 2606 0.8278 0.6557 0.7611 0.9934 1.0088 1.0124
19 2613 –5.937 2720 0.8081 0.6163 0.7274 0.9993 1.0087 1.0123

Notes. The variable stellar and wind parameters at each iteration step until convergence. For the fixed stellar parameters L, Teff, R, M, and Γ, see upper part of Table 1 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 equator (θ = π/2). 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)). At each iteration step, the value of v was calculated by (a simplified version of) Eq. (75) and used as the new input value for the terminal velocity in the next iteration step, together with the new estimates of and β (cf. description of iteration process in Sect. 3.3). Convergence is achieved when the values of v∞,   fit and v have become equal or close to each other. In this case, the condition that the critical radius (determined by Eq. (42)) has to be equal to the sonic radius (determined by ISA-Wind) is fulfilled.

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