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Table B.1

Parameters characterizing the models of rigid rotators that evolve with constant angular momentum , with for rigid rotation.

t/tMS Ω Ω/Ωcrit ρc Rp/R⊙ Re/Rp v vcrit K/|W|
(s-1) (g cm-3) (km   s-1) v/vcrit
M/M⊙ = 1.5 J/M =  6.98 × 1015 cm2 s-1 q = 0.1
0.016 0.151E-04 0.057 76.04 1.420 1.001 14.9 380.2 0.14E-04
0.335 0.142E-04 0.063 85.51 1.577 1.001 15.6 360.8 0.13E-04
0.619 0.126E-04 0.070 92.69 1.823 1.001 16.0 335.6 0.12E-04
0.827 0.114E-04 0.078 104.00 2.103 1.001 16.6 312.4 0.11E-04
0.920 0.111E-04 0.085 115.62 2.259 1.001 17.5 301.4 0.11E-04
1.000 0.121E-04 0.103 147.66 2.408 1.001 17.6 291.8 0.11E-04
M/M⊙ = 1.5 J/M =  3.49 × 1016 cm2 s-1 q = 0.5
0.016 0.752E-04 0.283 76.20 1.416 1.015 75.2 0.198 0.34E-03
0.335 0.709E-04 0.314 85.69 1.572 1.018 79.0 0.219 0.32E-03
0.619 0.628E-04 0.348 92.89 1.817 1.024 81.3 0.242 0.30E-03
0.827 0.566E-04 0.390 104.21 2.096 1.028 84.9 0.272 0.28E-03
0.920 0.553E-04 0.424 115.86 2.251 1.034 89.5 0.297 0.27E-03
1.000 0.592E-04 0.502 148.93 2.398 1.048 103.7 0.355 0.27E-03
M/M⊙ = 1.5 J/M =  6.98 × 1016 cm2 s-1 q = 1.0
0.016 0.150E-03 0.562 76.69 1.403 1.065 155.5 0.409 0.13E-02
0.335 0.141E-03 0.623 86.24 1.558 1.081 164.8 0.457 0.13E-02
0.619 0.124E-03 0.689 93.46 1.800 1.104 172.2 0.513 0.12E-02
0.827 0.112E-03 0.770 104.86 2.076 1.142 184.7 0.591 0.11E-02
0.920 0.109E-03 0.837 116.58 2.229 1.189 201.2 0.667 0.11E-02
1.000 0.116E-03 1.000 149.93 2.372 1.519 291.8 1.000 0.11E-02
M/M⊙ = 1.5 J/M =  1.05 × 1017 cm2 s-1 q = 1.5
0.016 0.222E-03 0.836 77.38 1.387 1.152 247.3 0.651 0.30E-02
0.157 0.220E-03 0.885 82.41 1.453 1.140 253.1 0.681 0.29E-02
0.335 0.209E-03 0.927 86.87 1.544 1.170 263.2 0.729 0.28E-02
0.489 0.197E-03 0.979 90.72 1.665 1.193 272.1 0.783 0.27E-02
M/M⊙ = 2.0 J/M =  7.25 × 1015 cm2 s-1 q = 0.1
0.010 0.116E-04 0.047 60.26 1.625 1.000 13.1 403.8 0.95E-05
0.337 0.101E-04 0.051 60.11 1.872 1.001 13.2 376.2 0.87E-05
0.620 0.847E-05 0.058 62.24 2.286 1.001 13.5 340.5 0.77E-05
0.827 0.725E-05 0.070 68.71 2.863 1.001 14.5 304.2 0.69E-05
0.946 0.638E-05 0.071 75.96 3.564 1.001 15.8 290.5 0.63E-05
1.000 0.710E-05 0.103 98.85 3.744 1.001 16.1 266.2 0.66E-05
M/M⊙ = 2.0 J/M =  3.62 × 1016 cm2 s-1 q = 0.5
0.010 0.579E-04 0.234 60.35 1.621 1.010 65.9 0.163 0.24E-03
0.337 0.504E-04 0.253 60.20 1.868 1.012 66.3 0.176 0.22E-03
0.620 0.423E-04 0.289 62.32 2.281 1.015 68.1 0.200 0.19E-03
0.827 0.362E-04 0.348 68.80 2.856 1.022 73.4 0.241 0.17E-03
0.946 0.318E-04 0.352 76.06 3.556 1.032 81.2 0.280 0.16E-03
1.000 0.348E-04 0.502 99.29 3.732 1.047 94.5 0.356 0.16E-03
M/M⊙ = 2.0 J/M =  7.25 × 1016 cm2 s-1 q = 1.0
0.010 0.115E-03 0.465 60.61 1.613 1.041 134.8 0.334 0.94E-03
0.337 0.100E-03 0.505 60.45 1.857 1.049 136.0 0.362 0.86E-03
0.620 0.840E-04 0.574 62.57 2.267 1.064 141.1 0.414 0.77E-03
0.827 0.717E-04 0.690 69.08 2.837 1.102 156.1 0.513 0.69E-03
0.946 0.629E-04 0.696 76.37 3.530 1.181 182.5 0.628 0.62E-03
1.000 0.684E-04 1.000 99.65 3.703 1.512 266.2 1.000 0.64E-03
M/M⊙ = 2.0 J/M =  1.09 × 1017 cm2 s-1 q = 1.5
0.010 0.172E-03 0.695 60.91 1.598 1.077 206.4 0.511 0.21E-02
0.156 0.164E-03 0.716 60.93 1.680 1.087 208.3 0.529 0.20E-02
0.337 0.150E-03 0.753 60.74 1.842 1.094 210.0 0.558 0.19E-02
0.490 0.137E-03 0.800 61.41 2.033 1.101 213.3 0.596 0.18E-02
0.620 0.125E-03 0.854 62.88 2.249 1.135 222.2 0.653 0.17E-02
0.732 0.116E-03 0.928 65.63 2.501 1.149 231.4 0.716 0.16E-02
0.012 0.107E-04 0.046 46.66 1.821 1.000 13.6 423.4 0.10E-04
0.342 0.907E-05 0.050 44.77 2.135 1.001 13.5 391.0 0.90E-05
M/M⊙ = 2.5 J/M =  8.93 × 1015 cm2 s-1 q = 0.1
0.629 0.756E-05 0.057 45.82 2.617 1.001 13.8 353.2 0.80E-05
0.835 0.642E-05 0.069 50.00 3.306 1.001 14.8 314.2 0.72E-05
0.949 0.591E-05 0.085 58.34 4.017 1.001 16.5 285.1 0.67E-05
1.000 0.619E-05 0.103 71.66 4.414 1.001 16.5 273.3 0.68E-05
M/M⊙ = 2.5 J/M =  4.46 × 1016 cm2 s-1 q = 0.5
0.012 0.536E-04 0.231 46.74 1.816 1.009 68.4 0.162 0.25E-03
0.342 0.453E-04 0.250 44.84 2.129 1.011 67.9 0.174 0.23E-03
0.629 0.377E-04 0.284 45.88 2.611 1.015 69.6 0.197 0.20E-03
0.835 0.320E-04 0.344 50.07 3.298 1.021 75.1 0.239 0.18E-03
0.949 0.295E-04 0.425 58.43 4.007 1.032 84.8 0.298 0.17E-03
1.000 0.304E-04 0.506 72.05 4.402 1.047 97.4 0.358 0.17E-03
M/M⊙ = 2.5 J/M =  8.93 × 1016 cm2 s-1 q = 1.0
0.012 0.107E-03 0.460 46.95 1.808 1.040 139.8 0.330 0.10E-02
0.342 0.902E-04 0.497 45.03 2.119 1.046 139.2 0.356 0.90E-03
0.629 0.751E-04 0.565 46.07 2.595 1.061 143.9 0.407 0.80E-03
0.835 0.635E-04 0.683 50.27 3.277 1.096 158.8 0.505 0.71E-03
0.949 0.583E-04 0.841 58.66 3.978 1.178 189.9 0.666 0.66E-03
1.000 0.598E-04 1.000 72.37 4.365 1.512 273.3 1.000 0.65E-03
M/M⊙ = 2.5 J/M =  1.34 × 1017 cm2 s-1 q = 1.5
0.012 0.160E-03 0.687 47.21 1.785 1.079 214.1 0.506 0.22E-02
0.163 0.148E-03 0.707 45.79 1.910 1.080 213.0 0.520 0.21E-02
0.342 0.135E-03 0.742 45.26 2.098 1.093 214.8 0.549 0.20E-02
0.496 0.123E-03 0.784 45.38 2.312 1.113 219.6 0.589 0.19E-02
0.629 0.112E-03 0.841 46.35 2.574 1.151 230.2 0.652 0.18E-02
0.742 0.102E-03 0.913 47.82 2.875 1.163 238.3 0.713 0.17E-02
M/M⊙ = 3.0 J/M =  1.09 × 1016 cm2 s-1 q = 0.1
0.007 0.102E-04 0.046 37.16 1.999 1.001 14.3 441.0 0.11E-04
0.350 0.854E-05 0.051 34.92 2.382 1.001 14.2 404.0 0.99E-05
0.643 0.708E-05 0.058 35.40 2.920 1.001 14.4 364.8 0.88E-05
0.844 0.600E-05 0.070 38.64 3.684 1.001 15.4 324.8 0.78E-05
0.951 0.549E-05 0.086 44.57 4.481 1.001 17.2 294.5 0.73E-05
1.000 0.566E-05 0.102 54.71 4.923 1.002 19.4 281.0 0.73E-05
M/M⊙ = 3.0 J/M =  5.44 × 1016 cm2 s-1 q = 0.5
0.007 0.511E-04 0.231 37.22 1.995 1.009 71.7 0.163 0.28E-03
0.350 0.426E-04 0.253 34.97 2.376 1.010 71.2 0.176 0.25E-03
0.643 0.353E-04 0.287 35.46 2.912 1.016 72.7 0.199 0.22E-03
0.844 0.299E-04 0.347 38.70 3.675 1.022 78.3 0.241 0.20E-03
0.951 0.274E-04 0.427 44.63 4.469 1.032 87.9 0.298 0.18E-03
1.000 0.282E-04 0.507 54.79 4.910 1.046 100.8 0.359 0.18E-03
M/M⊙ = 3.0 J/M =  1.09 × 1017 cm2 s-1 q = 1.0
0.007 0.102E-03 0.461 37.40 1.983 1.040 146.2 0.332 0.11E-02
0.350 0.849E-04 0.504 35.13 2.363 1.047 146.2 0.362 0.98E-03
0.643 0.703E-04 0.571 35.61 2.895 1.062 150.3 0.412 0.87E-03
0.844 0.594E-04 0.688 38.86 3.650 1.096 165.4 0.509 0.77E-03
0.951 0.541E-04 0.844 44.82 4.435 1.177 196.5 0.667 0.72E-03
1.000 0.555E-04 1.000 55.03 4.869 1.495 281.0 1.000 0.71E-03
M/M⊙ = 3.0 J/M =  1.63 × 1017 cm2 s-1 q = 1.5
0.007 0.152E-03 0.689 37.60 1.957 1.070 221.9 0.503 0.25E-02
0.166 0.140E-03 0.713 36.06 2.112 1.080 222.1 0.523 0.23E-02
0.350 0.127E-03 0.753 35.30 2.336 1.090 224.6 0.556 0.22E-02
0.510 0.115E-03 0.795 35.28 2.578 1.095 226.4 0.588 0.21E-02
0.643 0.105E-03 0.852 35.76 2.870 1.112 232.8 0.638 0.19E-02
0.755 0.958E-04 0.929 37.03 3.221 1.148 246.4 0.715 0.18E-02

Notes. For each mass and for q = 0.1 is given the vcrit, while for other p values is given the ratio v/vcrit. t/tMS is the fractional stellar age, tMS being the time the star of mass M can spend in the MS. Ω is the angular velocity and Ωcrit is the critical angular velocity. ρc is the density at the stellar center. Rp/R⊙ is the polar radius in solar units and Re/Rp is the equatorial to polar radii ratio. v is the equatorial rotational velocity and vcrit the equatorial critical rotational velocity. K/|W| is the ratio of kinetic to gravitational potential energy.

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