Table 1
Model parameters, following Martins et al. (2005a), and predicted wind properties for dwarfs, giants and supergiants.
Model parameters | Method A | Method B | Vink et al. | |||||||||||
ST | Teff | log gspec | log L | R | Mspec | vesc | log Ṁ | ν∞ | β | Γ ≃ 1 | log Ṁ | ν∞ | βγ | log Ṁ |
K | cm s-2 | L⊙ | R⊙ | M⊙ | km s-1 | log M⊙/yr | km s-1 | at vs | M⊙/yr | km s-1 | M⊙/yr | |||
|
||||||||||||||
Dwarfs | ||||||||||||||
3 | 44 616 | 3.92 | 5.83 | 13.84 | 58.34 | 1054 | –5.641 | 3794 | 0.92 | yes | –5.972 | 4530 | 0.87 | –5.375 |
4 | 43 419 | 3.92 | 5.68 | 12.31 | 46.16 | 1016 | –5.836 | 3599 | 0.90 | yes | –5.929 | 3973 | 0.83 | –5.571 |
5 | 41 540 | 3.92 | 5.51 | 11.08 | 37.28 | 992 | –5.969 | 2838 | 0.84 | yes | –6.118 | 3394 | 0.79 | –5.829 |
5.5 | 40 062 | 3.92 | 5.41 | 10.61 | 34.17 | 990 | –6.152 | 2762 | 0.84 | yes | –6.265 | 3260 | 0.77 | –6.011 |
6 | 38 151 | 3.92 | 5.30 | 10.23 | 31.73 | 994 | –6.386 | 2697 | 0.81 | yes | –6.493 | 3277 | 0.77 | –6.234 |
6.5 | 36 826 | 3.92 | 5.20 | 9.79 | 29.02 | 983 | [–7.243] | [6395] | [1.87] | no | –6.918 | 5244 | 0.95 | –6.427 |
7 | 35 531 | 3.92 | 5.10 | 9.37 | 26.52 | 972 | [–7.340] | [7325] | [2.65] | no | – | – | – | –6.624 |
7.5 | 34 419 | 3.92 | 5.00 | 8.94 | 24.15 | 959 | [–7.745] | [12028] | [1.81] | no | – | – | – | –6.820 |
8 | 33 383 | 3.92 | 4.90 | 8.52 | 21.95 | 944 | [–7.781] | [10650] | [1.57] | no | – | – | – | –7.019 |
8.5 | 32 522 | 3.92 | 4.82 | 8.11 | 19.82 | 923 | [–7.802] | [9427] | [1.40] | no | – | – | – | –7.167 |
9 | 31 524 | 3.92 | 4.72 | 7.73 | 18.03 | 908 | [–7.818] | [8283] | [1.21] | no | – | – | – | –7.374 |
9.5 | 30 488 | 3.92 | 4.62 | 7.39 | 16.46 | 892 | [–7.793] | [6704] | [1.10] | no | – | – | – | –7.590 |
|
||||||||||||||
Giants | ||||||||||||||
3 | 42 942 | 3.77 | 5.92 | 16.57 | 58.62 | 915 | –5.445 | 3275 | 0.90 | yes | –5.551 | 3756 | 0.87 | –5.182 |
4 | 41 486 | 3.73 | 5.82 | 15.83 | 48.80 | 866 | –5.540 | 2945 | 0.90 | yes | –5.641 | 3272 | 0.84 | –5.303 |
5 | 39 507 | 3.69 | 5.70 | 15.26 | 41.48 | 837 | –5.630 | 2460 | 0.90 | yes | –5.810 | 3053 | 0.83 | –5.491 |
5.5 | 38 003 | 3.67 | 5.63 | 15.13 | 38.92 | 833 | –5.867 | 2852 | 0.96 | yes | –5.946 | 3160 | 0.83 | –5.629 |
6 | 36 673 | 3.65 | 5.56 | 14.97 | 36.38 | 825 | –6.100 | 3165 | 0.98 | yes | –6.108 | 3200 | 0.84 | –5.769 |
6.5 | 35 644 | 3.63 | 5.49 | 14.74 | 33.68 | 810 | –6.278 | 3534 | 1.07 | yes | –6.320 | 3743 | 0.91 | –5.902 |
7 | 34 638 | 3.61 | 5.43 | 14.51 | 31.17 | 798 | [–6.804] | [7140] | [3.46] | no | – | – | – | –6.016 |
7.5 | 33 487 | 3.59 | 5.36 | 14.34 | 29.06 | 785 | –6.606 | 4408 | 1.20 | yes | – | – | – | –6.166 |
8 | 32 573 | 3.57 | 5.30 | 14.11 | 26.89 | 768 | –6.655 | 3668 | 1.05 | yes | –6.692 | 3857 | 0.93 | –6.286 |
8.5 | 31 689 | 3.55 | 5.24 | 13.88 | 24.84 | 749 | –6.557 | 2266 | 0.80 | yes | –6.770 | 3490 | 0.91 | –6.409 |
9 | 30 737 | 3.53 | 5.17 | 13.69 | 23.07 | 733 | –6.812 | 2960 | 0.90 | yes | – | – | – | –6.564 |
9.5 | 30 231 | 3.51 | 5.12 | 13.37 | 21.04 | 709 | –6.848 | 2594 | 0.89 | yes | –6.923 | 3002 | 0.85 | –6.646 |
|
||||||||||||||
Supergiants | ||||||||||||||
3 | 42 551 | 3.73 | 6.00 | 18.47 | 66.89 | 912 | –5.347 | 3346 | 0.92 | yes | –5.445 | 3719 | 0.86 | –5.083 |
4 | 40 702 | 3.65 | 5.94 | 18.91 | 58.03 | 837 | –5.387 | 2877 | 0.92 | yes | –5.497 | 3299 | 0.86 | –5.144 |
5 | 38 520 | 3.57 | 5.87 | 19.48 | 50.87 | 779 | –5.561 | 2974 | 0.95 | yes | –5.554 | 3030 | 0.86 | –5.247 |
5.5 | 37 070 | 3.52 | 5.82 | 19.92 | 48.29 | 764 | –5.611 | 2938 | 1.04 | yes | –5.664 | 3153 | 0.87 | –5.352 |
6 | 35 747 | 3.48 | 5.78 | 20.33 | 45.78 | 747 | –5.751 | 3000 | 1.05 | yes | –5.814 | 3270 | 0.90 | –5.438 |
6.5 | 34 654 | 3.44 | 5.74 | 20.68 | 43.10 | 732 | –5.945 | 3531 | 1.16 | yes | –5.920 | 3328 | 0.93 | –5.520 |
7 | 33 326 | 3.40 | 5.69 | 21.14 | 40.91 | 715 | –5.995 | 3230 | 1.09 | yes | –6.059 | 3606 | 0.96 | –5.642 |
7.5 | 31 913 | 3.36 | 5.64 | 21.69 | 39.17 | 702 | –6.036 | 2702 | 1.03 | yes | –6.116 | 3043 | 0.90 | –5.781 |
8 | 31 009 | 3.32 | 5.60 | 22.03 | 36.77 | 678 | –6.058 | 2366 | 1.06 | yes | –6.181 | 2756 | 0.88 | –5.873 |
8.5 | 30 504 | 3.28 | 5.58 | 22.20 | 33.90 | 644 | –6.143 | 2498 | 1.08 | yes | –6.189 | 2572 | 0.90 | –5.895 |
9 | 29 569 | 3.23 | 5.54 | 22.60 | 31.95 | 629 | –6.385 | 2988 | 1.05 | yes | –6.319 | 2640 | 0.91 | –5.998 |
9.5 | 28 430 | 3.19 | 5.49 | 23.11 | 30.41 | 613 | –6.487 | 2921 | 1.08 | yes | –6.449 | 2642 | 0.93 | –6.148 |
Notes. The label “spec” indicates that spectroscopic masses are adopted from Martins et al. Predictions give the mass-loss rate, terminal velocities and β parameters for both method A (best-β solution) and B (hydrodynamic solution). The 11th column states whether or not the best-β solution fulfills the requirement that at the sonic point (see Sect. 2.6). For the hydrodynamic solutions a failure of this requirement implies that we do not find a solution at all. The last column provides the Ṁ by Vink et al. (2001) when we use ν∞ = 2.6 vesc in their mass-loss recipe. The hydrodynamic solution does not provide a β value, but rather the fit parameter γ. As to facilitate a comparison, we applied Eq. (16) to convert this γ into a β.
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