Some black hole and neutronium related quantities for various masses
====================================================================
Copyright © 2022 Henk Reints, http://henk-reints.nl
Output generated 2022-11-18(5)T09:46:05.930Z
See also: http://henk-reints.nl/astro/HR-fall-into-black-hole-slides.pdf
neutroniumClosePackedDensity: 578.2971639940927 e15kg/m^3
neutronComptonDensity : 1.3921288980518464e18kg/m^3
neutronComptonPressure : 83.41220377288508 e33Pa
electronComptonPressure : 7.297960819987392 e21Pa
solarMass : 1.98847 e30kg
Legend:
rS = Schwarzscild radius
rhoS = homogeneous density if r = rS
pS = grav. central pressure if r = rS
pR = resisting pressure (2/3)*rho*c^2
rM = material radius at neutronComptonDensity
pM = grav. central pressure if r = rM
rho >> : exceeds neutronComptonDensity (impossible?)
rho > : exceeds neutroniumClosePackedDensity
p >> : exceeds neutronComptonPressure (neutrons would be crushed)
p > : exceeds electronComptonPressure (would collapse to neutronium)
pR < : insufficient resisting pressure (would cause collapse to nought? never occurs below)
rM > : exceeds rS (is not a black hole)
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
1 2.953 km 18.43e18 >> 414.1e33 >> 1.104e36 62.20e18 >> 2.096e36 >> 3.727e36 6.986 > 13.22e33 >
2 5.907 km 4.607e18 >> 103.5e33 >> 276.0e33 15.55e18 >> 524.1e33 >> 931.7e33 8.802 > 20.99e33 >
2.228 6.580 km 3.712e18 >> 83.41e33 > 222.4e33 12.53e18 >> 422.3e33 >> 750.7e33 9.125 > 22.56e33 > pS = neutronComptonPressure (TOV?)
3 8.860 km 2.048e18 >> 46.01e33 > 122.7e33 6.911e18 >> 232.9e33 >> 414.1e33 10.08 > 27.50e33 >
3.638 10.75 km 1.392e18 > 31.28e33 > 83.41e33 4.698e18 >> 158.4e33 >> 281.5e33 10.75 31.28e33 > minimalComptonNeutroniumBH
4 11.81 km 1.152e18 > 25.88e33 > 69.01e33 3.887e18 >> 131.0e33 >> 232.9e33 11.09 33.32e33 >
5 14.77 km 737.1e15 > 16.56e33 > 44.17e33 2.488e18 >> 83.85e33 >> 149.1e33 11.95 38.66e33 >
5.645 16.67 km 578.3e15 12.99e33 > 34.65e33 1.952e18 >> 65.78e33 > 116.9e33 12.44 41.92e33 > minimalClosePackedNeutroniumBH
6 17.72 km 511.9e15 11.50e33 > 30.67e33 1.728e18 >> 58.23e33 > 103.5e33 12.70 43.66e33 >
6.684 19.74 km 412.5e15 9.268e33 > 24.71e33 1.392e18 > 46.92e33 > 83.41e33 13.16 46.92e33 > maxComptonNeutroniumMass >= rS*2/3
7 20.67 km 376.1e15 8.450e33 > 22.53e33 1.269e18 > 42.78e33 > 76.05e33 13.36 48.39e33 >
8 23.63 km 287.9e15 6.470e33 > 17.25e33 971.8e15 > 32.75e33 > 58.23e33 13.97 52.89e33 >
9 26.58 km 227.5e15 5.112e33 > 13.63e33 767.9e15 > 25.88e33 > 46.01e33 14.53 57.21e33 >
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
10 29.53 km 184.3e15 4.141e33 > 11.04e33 622.0e15 > 20.96e33 > 37.27e33 15.05 61.37e33 >
10.37 30.63 km 171.3e15 3.850e33 > 10.27e33 578.3e15 19.49e33 > 34.65e33 15.24 62.88e33 > maxClosePackedNeutroniumMass >= rS*2/3
15.84 46.79 km 73.41e15 1.650e33 > 4.399e33 247.8e15 8.351e33 > 14.85e33 17.55 83.41e33 >> neutronComptonPressure@neutroniumComptonDensity
20 59.07 km 46.07e15 1.035e33 > 2.760e33 155.5e15 5.241e33 > 9.317e33 18.96 97.43e33 >>
30 88.60 km 20.48e15 460.1e30 > 1.227e33 69.11e15 2.329e33 > 4.141e33 21.71 127.7e33 >>
40 118.1 km 11.52e15 258.8e30 > 690.1e30 38.87e15 1.310e33 > 2.329e33 23.89 154.7e33 >>
50 147.7 km 7.371e15 165.6e30 > 441.7e30 24.88e15 838.5e30 > 1.491e33 25.74 179.5e33 >>
60 177.2 km 5.119e15 115.0e30 > 306.7e30 17.28e15 582.3e30 > 1.035e33 27.35 202.7e33 >>
70 206.7 km 3.761e15 84.50e30 > 225.3e30 12.69e15 427.8e30 > 760.5e30 28.79 224.6e33 >>
80 236.3 km 2.879e15 64.70e30 > 172.5e30 9.718e15 327.5e30 > 582.3e30 30.10 245.5e33 >>
90 265.8 km 2.275e15 51.12e30 > 136.3e30 7.679e15 258.8e30 > 460.1e30 31.31 265.6e33 >>
91.82 271.2 km 2.186e15 49.12e30 > 131.0e30 7.378e15 248.7e30 > 442.1e30 31.52 269.1e33 >> neutronComptonPressure@neutroniumClosePackedDensity
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
100 295.3 km 1.843e15 41.41e30 > 110.4e30 6.220e15 209.6e30 > 372.7e30 32.43 284.9e33 >>
200 590.7 km 460.7e12 10.35e30 > 27.60e30 1.555e15 52.41e30 > 93.17e30 40.86 452.2e33 >>
300 886.0 km 204.8e12 4.601e30 > 12.27e30 691.1e12 23.29e30 > 41.41e30 46.77 592.6e33 >>
400 1.181e3 km 115.2e12 2.588e30 > 6.901e30 388.7e12 13.10e30 > 23.29e30 51.48 717.8e33 >>
500 1.477e3 km 73.71e12 1.656e30 > 4.417e30 248.8e12 8.385e30 > 14.91e30 55.45 833.0e33 >>
600 1.772e3 km 51.19e12 1.150e30 > 3.067e30 172.8e12 5.823e30 > 10.35e30 58.93 940.6e33 >>
700 2.067e3 km 37.61e12 845.0e27 > 2.253e30 126.9e12 4.278e30 > 7.605e30 62.03 1.042e36 >>
800 2.363e3 km 28.79e12 647.0e27 > 1.725e30 97.18e12 3.275e30 > 5.823e30 64.86 1.140e36 >>
900 2.658e3 km 22.75e12 511.2e27 > 1.363e30 76.79e12 2.588e30 > 4.601e30 67.45 1.233e36 >>
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
1e3 2.953e3 km 18.43e12 414.1e27 > 1.104e30 62.20e12 2.096e30 > 3.727e30 69.86 1.322e36 >>
2e3 5.907e3 km 4.607e12 103.5e27 > 276.0e27 15.55e12 524.1e27 > 931.7e27 88.02 2.099e36 >>
3e3 8.860e3 km 2.048e12 46.01e27 > 122.7e27 6.911e12 232.9e27 > 414.1e27 100.8 2.750e36 >>
4e3 11.81e3 km 1.152e12 25.88e27 > 69.01e27 3.887e12 131.0e27 > 232.9e27 110.9 3.332e36 >>
5e3 14.77e3 km 737.1e9 16.56e27 > 44.17e27 2.488e12 83.85e27 > 149.1e27 119.5 3.866e36 >>
6e3 17.72e3 km 511.9e9 11.50e27 > 30.67e27 1.728e12 58.23e27 > 103.5e27 127.0 4.366e36 >>
7e3 20.67e3 km 376.1e9 8.450e27 > 22.53e27 1.269e12 42.78e27 > 76.05e27 133.6 4.839e36 >>
8e3 23.63e3 km 287.9e9 6.470e27 > 17.25e27 971.8e9 32.75e27 > 58.23e27 139.7 5.289e36 >>
9e3 26.58e3 km 227.5e9 5.112e27 > 13.63e27 767.9e9 25.88e27 > 46.01e27 145.3 5.721e36 >>
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
10e3 29.53e3 km 184.3e9 4.141e27 > 11.04e27 622.0e9 20.96e27 > 37.27e27 150.5 6.137e36 >>
20e3 59.07e3 km 46.07e9 1.035e27 > 2.760e27 155.5e9 5.241e27 > 9.317e27 189.6 9.743e36 >>
30e3 88.60e3 km 20.48e9 460.1e24 > 1.227e27 69.11e9 2.329e27 > 4.141e27 217.1 12.77e36 >>
40e3 118.1e3 km 11.52e9 258.8e24 > 690.1e24 38.87e9 1.310e27 > 2.329e27 238.9 15.47e36 >>
50e3 147.7e3 km 7.371e9 165.6e24 > 441.7e24 24.88e9 838.5e24 > 1.491e27 257.4 17.95e36 >>
60e3 177.2e3 km 5.119e9 115.0e24 > 306.7e24 17.28e9 582.3e24 > 1.035e27 273.5 20.27e36 >>
70e3 206.7e3 km 3.761e9 84.50e24 > 225.3e24 12.69e9 427.8e24 > 760.5e24 287.9 22.46e36 >>
80e3 236.3e3 km 2.879e9 64.70e24 > 172.5e24 9.718e9 327.5e24 > 582.3e24 301.0 24.55e36 >>
90e3 265.8e3 km 2.275e9 51.12e24 > 136.3e24 7.679e9 258.8e24 > 460.1e24 313.1 26.56e36 >>
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
100e3 295.3e3 km 1.843e9 41.41e24 > 110.4e24 6.220e9 209.6e24 > 372.7e24 324.3 28.49e36 >>
200e3 1.537 lun 460.7e6 10.35e24 > 27.60e24 1.555e9 52.41e24 > 93.17e24 408.6 45.22e36 >>
300e3 2.305 lun 204.8e6 4.601e24 > 12.27e24 691.1e6 23.29e24 > 41.41e24 467.7 59.26e36 >>
400e3 3.073 lun 115.2e6 2.588e24 > 6.901e24 388.7e6 13.10e24 > 23.29e24 514.8 71.78e36 >>
500e3 3.841 lun 73.71e6 1.656e24 > 4.417e24 248.8e6 8.385e24 > 14.91e24 554.5 83.30e36 >>
600e3 4.610 lun 51.19e6 1.150e24 > 3.067e24 172.8e6 5.823e24 > 10.35e24 589.3 94.06e36 >>
700e3 5.378 lun 37.61e6 845.0e21 > 2.253e24 126.9e6 4.278e24 > 7.605e24 620.3 104.2e36 >>
800e3 6.146 lun 28.79e6 647.0e21 > 1.725e24 97.18e6 3.275e24 > 5.823e24 648.6 114.0e36 >>
900e3 6.915 lun 22.75e6 511.2e21 > 1.363e24 76.79e6 2.588e24 > 4.601e24 674.5 123.3e36 >>
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
1e6 7.683 lun 18.43e6 414.1e21 > 1.104e24 62.20e6 2.096e24 > 3.727e24 698.6 132.2e36 >>
2e6 15.37 lun 4.607e6 103.5e21 > 276.0e21 15.55e6 524.1e21 > 931.7e21 880.2 209.9e36 >>
3e6 23.05 lun 2.048e6 46.01e21 > 122.7e21 6.911e6 232.9e21 > 414.1e21 1.008e3 275.0e36 >>
4e6 30.73 lun 1.152e6 25.88e21 > 69.01e21 3.887e6 131.0e21 > 232.9e21 1.109e3 333.2e36 >>
4.15e6 31.88 lun 1.070e6 24.04e21 > 64.11e21 3.611e6 121.7e21 > 216.4e21 1.123e3 341.5e36 >> Sgr A*
5e6 38.41 lun 737.1e3 16.56e21 > 44.17e21 2.488e6 83.85e21 > 149.1e21 1.195e3 386.6e36 >>
6e6 46.10 lun 511.9e3 11.50e21 > 30.67e21 1.728e6 58.23e21 > 103.5e21 1.270e3 436.6e36 >>
7e6 53.78 lun 376.1e3 8.450e21 > 22.53e21 1.269e6 42.78e21 > 76.05e21 1.336e3 483.9e36 >>
7.532e6 57.87 lun 324.8e3 7.298e21 19.46e21 1.096e6 36.95e21 > 65.68e21 1.370e3 508.1e36 >> pS = electronComptonPressure
8e6 61.46 lun 287.9e3 6.470e21 17.25e21 971.8e3 32.75e21 > 58.23e21 1.397e3 528.9e36 >>
9e6 69.15 lun 227.5e3 5.112e21 13.63e21 767.9e3 25.88e21 > 46.01e21 1.453e3 572.1e36 >>
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
10e6 76.83 lun 184.3e3 4.141e21 11.04e21 622.0e3 20.96e21 > 37.27e21 1.505e3 613.7e36 >>
16.95e6 130.2 lun 64.16e3 1.442e21 3.844e21 216.5e3 7.298e21 12.97e21 1.795e3 872.4e36 >> no neutronium core?
20e6 153.7 lun 46.07e3 1.035e21 2.760e21 155.5e3 5.241e21 9.317e21 1.896e3 974.3e36 >>
30e6 230.5 lun 20.48e3 460.1e18 1.227e21 69.11e3 2.329e21 4.141e21 2.171e3 1.277e39 >>
40e6 307.3 lun 11.52e3 258.8e18 690.1e18 38.87e3 1.310e21 2.329e21 2.389e3 1.547e39 >>
50e6 384.1 lun 7.371e3 165.6e18 441.7e18 24.88e3 838.5e18 1.491e21 2.574e3 1.795e39 >>
60e6 1.185 au 5.119e3 115.0e18 306.7e18 17.28e3 582.3e18 1.035e21 2.735e3 2.027e39 >>
70e6 1.382 au 3.761e3 84.50e18 225.3e18 12.69e3 427.8e18 760.5e18 2.879e3 2.246e39 >>
80e6 1.579 au 2.879e3 64.70e18 172.5e18 9.718e3 327.5e18 582.3e18 3.010e3 2.455e39 >>
90e6 1.777 au 2.275e3 51.12e18 136.3e18 7.679e3 258.8e18 460.1e18 3.131e3 2.656e39 >>
96.09e6 1.897 au 1.996e3 44.85e18 119.6e18 6.736e3 227.0e18 403.6e18 3.200e3 2.774e39 >> closePackedHydrogenDensityBH
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
100e6 1.974 au 1.843e3 41.41e18 110.4e18 6.220e3 209.6e18 372.7e18 3.243e3 2.849e39 >>
135.8e6 2.680 au 1.000e3 22.47e18 59.92e18 3.375e3 113.7e18 202.2e18 3.591e3 3.493e39 >> waterDensityBH
176.5e6 3.485 au 591.4 13.29e18 35.44e18 1.996e3 67.27e18 119.6e18 3.919e3 4.161e39 >> closePackedHydrogenDensity@rS*2/3
200e6 3.948 au 460.7 10.35e18 27.60e18 1.555e3 52.41e18 93.17e18 4.086e3 4.522e39 >>
249.4e6 4.923 au 296.3 6.657e18 17.75e18 1.000e3 33.70e18 59.92e18 4.398e3 5.239e39 >> waterDensity@rS*2/3
300e6 5.923 au 204.8 4.601e18 12.27e18 691.1 23.29e18 41.41e18 4.677e3 5.926e39 >>
400e6 7.897 au 115.2 2.588e18 6.901e18 388.7 13.10e18 23.29e18 5.148e3 7.178e39 >>
500e6 9.871 au 73.71 1.656e18 4.417e18 248.8 8.385e18 14.91e18 5.545e3 8.330e39 >>
600e6 11.85 au 51.19 1.150e18 3.067e18 172.8 5.823e18 10.35e18 5.893e3 9.406e39 >>
700e6 13.82 au 37.61 845.0e15 2.253e18 126.9 4.278e18 7.605e18 6.203e3 10.42e39 >>
800e6 15.79 au 28.79 647.0e15 1.725e18 97.18 3.275e18 5.823e18 6.486e3 11.40e39 >>
900e6 17.77 au 22.75 511.2e15 1.363e18 76.79 2.588e18 4.601e18 6.745e3 12.33e39 >>
M/sun rS rhoS[kg/m^3] pS[Pa] pR[Pa] rho@rS*2/3 p@rS*2/3 pR@rS*2/3 rM[km] pM[Pa] description
--------- ------------- ------------ ----------- ---------- ----------- ----------- ---------- ----------- ----------- -----------
1e9 19.74 au 18.43 414.1e15 1.104e18 62.20 2.096e18 3.727e18 6.986e3 13.22e39 >>
2e9 39.48 au 4.607 103.5e15 276.0e15 15.55 524.1e15 931.7e15 8.802e3 20.99e39 >>
3e9 59.23 au 2.048 46.01e15 122.7e15 6.911 232.9e15 414.1e15 10.08e3 27.50e39 >>
4e9 78.97 au 1.152 25.88e15 69.01e15 3.887 131.0e15 232.9e15 11.09e3 33.32e39 >>
5e9 98.71 au 7.371e-1 16.56e15 44.17e15 2.488 83.85e15 149.1e15 11.95e3 38.66e39 >>
6e9 118.5 au 5.119e-1 11.50e15 30.67e15 1.728 58.23e15 103.5e15 12.70e3 43.66e39 >>
6.5e9 128.3 au 4.362e-1 9.800e15 26.13e15 1.472 49.61e15 88.20e15 13.04e3 46.05e39 >> M87*
7e9 138.2 au 3.761e-1 8.450e15 22.53e15 1.269 42.78e15 76.05e15 13.36e3 48.39e39 >>
8e9 157.9 au 2.879e-1 6.470e15 17.25e15 9.718e-1 32.75e15 58.23e15 13.97e3 52.89e39 >>
9e9 177.7 au 2.275e-1 5.112e15 13.63e15 7.679e-1 25.88e15 46.01e15 14.53e3 57.21e39 >>
Copyright © 2022 Henk Reints, http://henk-reints.nl