Free Access

Table 3

Models of stars with internal differential rotation.

ZAMS M = 5   M, Ωcr = 1.92 × 10-4 ZAMS M = 15   M, Ωcr = 1.34 × 10-4

Ωocr ρ c Rav/R Re/R Re/Rp V eq J/M K/|W| Ωocr ρ c Rav/R Re/R Re/Rp V eq J/M K/|W|
 × 10-17  × 10-17

β = 2 β = 2
1.0 19.996 2.671 2.711 1.052 117 3.326 0.0044 1.0 5.945 4.915 4.986 1.047 151 9.920 0.0064
2.0 21.593 2.821 2.967 1.269 225 6.723 0.0175 2.0 6.482 5.092 5.383 1.265 294 20.091 0.0250
3.0 24.741 3.451 3.938 1.947 290 10.437 0.0389 3.0 7.580 5.828 6.666 1.878 396 31.115 0.0553
3.5 27.451 4.813 5.799 3.143 255 12.898 0.0532 3.5 8.529 7.330 8.938 2.809 381 38.020 0.0752
3.9 32.121 9.933 11.652 6.998 152 17.775 0.0683 4.0 10.930 16.655 20.092 7.455 216 58.322 0.1035
β = 4 β = 4
1.0 19.870 2.639 2.656 1.023 70 2.824 0.0033 1.0 5.899 4.875 4.915 1.025 91 8.220 0.0046
2.0 21.022 2.667 2.729 1.138 139 5.642 0.0130 2.0 6.273 4.861 4.981 1.133 181 16.443 0.0179
3.0 23.095 2.731 2.867 1.353 202 8.458 0.0285 4.0 8.085 4.955 5.455 1.697 341 32.810 0.0663
4.0 26.378 2.906 3.185 1.728 250 11.318 0.0489 5.5 11.219 5.774 6.887 2.843 396 45.878 0.1163
5.0 31.538 3.400 3.899 2.489 269 14.450 0.0736 6.2 14.319 7.599 9.291 4.558 349 56.026 0.1457
6.2 46.905 6.692 7.790 6.456 181 22.434 0.1128 6.4 16.610 9.221 11.247 5.958 304 64.434 0.1588
β = 6 β = 6
1.0 19.796 2.634 2.652 1.022 50 2.482 0.0027 1.0 5.874 4.856 4.889 1.010 65 7.103 0.0035
2.0 21.022 2.626 2.670 1.095 100 4.946 0.0104 3.0 6.681 4.726 4.869 1.221 196 21.149 0.0303
4.0 23.095 2.631 2.768 1.426 195 9.761 0.0392 5.0 8.684 4.544 4.941 1.693 324 34.451 0.0770
5.0 28.193 2.677 2.907 1.727 235 12.103 0.0586 7.0 12.871 4.618 5.417 2.664 424 46.715 0.1336
7.0 40.196 3.160 3.641 2.969 275 17.048 0.1047 8.0 16.731 5.171 6.299 3.689 430 53.793 0.1648
8.35 67.403 5.514 6.446 6.938 196 25.828 0.1483 8.4 19.300 5.767 7.106 4.564 408 58.318 0.1796
β = 8 β = 8
1.0 19.746 2.626 2.640 1.009 39 2.227 0.0022 1.0 5.857 4.857 4.884 1.011 51 6.293 0.0029
3.0 21.808 2.580 2.630 1.164 118 6.610 0.0190 2.0 6.092 4.790 4.837 1.066 102 12.548 0.0112
5.0 26.464 2.519 2.669 1.495 195 10.776 0.0492 4.0 7.143 4.551 4.722 1.304 209 24.704 0.0425
7.0 34.953 2.529 2.788 2.070 264 14.665 0.0878 6.0 9.316 4.229 4.610 1.733 319 35.796 0.0869
9.0 50.578 2.873 3.343 3.305 292 18.741 0.1313 8.0 13.338 3.980 4.573 2.373 428 45.301 0.1363
10.0 66.836 3.572 4.219 4.962 264 22.199 0.1575 9.6 18.901 4.078 4.940 3.327 484 52.380 0.1764

TAMS M = 5   M, Ωcr = 4.79 × 10-4 TAMS M = 15   M, Ωcr = 2.76 × 10-4

β = 2 β = 2
1.0 27.626 6.639 7.708 1.051 71 1.692 0.0008 1.0 9.255 13.564 13.777 1.049 86 4.119 0.0007
2.0 28.085 7.556 7.915 1.280 132 3.482 0.0031 2.0 9.357 15.546 16.370 1.285 160 8.521 0.0030
3.0 29.015 12.077 13.648 2.334 137 5.633 0.0072 3.0 9.572 25.858 25.259 2.411 162 14.021 0.0073
3.5 29.954 27.310 30.655 5.467 78 7.475 0.0104 3.5 9.982 66.541 73.661 6.333 81 19.758 0.0107
β = 4 β = 4
1.0 27.601 6.535 6.564 1.028 43 1.541 0.0006 1.0 9.249 13.363 13.483 1.026 52 3.753 0.0006
3.0 28.632 7.844 8.169 1.384 110 4.829 0.0059 2.0 9.331 14.200 14.476 1.128 99 7.644 0.0025
4.0 29.723 10.200 11.025 1.984 116 6.805 0.0107 3.0 9.480 16.212 16.970 1.387 133 11.882 0.0058
5.0 31.729 19.386 20.867 4.110 81 9.748 0.0177 4.0 9.732 21.574 23.300 2.021 138 16.979 0.0108
5.5 34.006 42.148 44.030 9.199 43 13.124 0.0221 5.0 10.236 44.869 48.918 6.602 87 25.481 0.0183
5.7 36.217 85.056 88.533 19.108 22 16.649 0.0246 5.5 11.028 129.78 136.36 9.820 35 39.665 0.0240
β = 6 β = 6
1.0 27.584 6.497 6.515 1.021 31 1.428 0.0006 1.0 9.246 13.246 13.307 1.013 37 3.479 0.0006
3.0 28.440 7.200 7.383 1.232 83 4.396 0.0051 3.0 9.437 14.815 15.268 1.238 72 10.791 0.0050
4.0 29.275 8.086 8.447 1.494 100 6.025 0.0091 4.0 9.626 16.812 17.571 1.498 121 14.905 0.0091
5.0 30.516 9.898 10.573 2.007 103 7.883 0.0145 5.0 9.914 20.975 22.325 2.043 123 19.763 0.0148
6.0 32.471 14.334 15.413 3.190 88 10.297 0.0216 6.0 10.393 31.844 34.264 3.419 99 26.539 0.0223
7.0 36.522 32.588 33.300 7.737 48 14.903 0.0308 7.0 11.634 91.051 95.665 10.725 42 43.227 0.0334
β = 8 β = 8
1.0 27.571 6.474 6.496 1.018 24 1.337 0.0005 1.0 9.243 13.239 13.327 1.006 29 3.260 0.0005
3.0 28.311 6.933 7.037 1.173 67 4.082 0.0045 3.0 9.408 14.238 14.472 1.164 82 10.008 0.0049
5.0 29.992 8.280 8.640 1.610 94 7.099 0.0127 5.0 9.790 17.301 18.070 1.624 113 17.656 0.0128
6.0 31.368 9.791 10.361 2.081 96 8.858 0.0185 6.0 10.112 20.816 22.169 2.148 113 22.314 0.0189
8.0 36.726 20.408 21.171 5.150 65 14.213 0.0345 7.0 10.602 28.159 30.082 3.159 99 28.363 0.0267
9.0 47.921 88.304 88.136 24.993 18 24.175 0.0453 8.5 12.570 86.558 90.257 11.410 41 49.916 0.0438

Notes. ρc is given in g cm-3; Ωcr is given in s-1; Veq is given in km s-1; the units of J/M are cm2s-1; Rav/R is the radius of a sphere having the same volume as the rotatio-nally deformed object.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.