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Table A.1.
Semi-empirical model atmospheric parameters for the hot penumbra.
| log τ5000 | Height (km) | Temperature (K) | VLOS | Vmicro | NHtot | Ne | ρ |
|---|---|---|---|---|---|---|---|
| (m s−1) | (m s−1) | (m−3) | (m−3) | (kg m−3) | |||
| −8.000 | 1744.147 | 88 415.80 | 2801.12 | 11342.74 | 4.941e+05 | 8.212e+15 | 2.236e−11 |
| −7.767 | 1743.714 | 35 886.21 | 2636.51 | 9921.28 | 1.351e+07 | 2.031e+16 | 5.531e−11 |
| −7.744 | 1743.103 | 28 736.84 | 2619.55 | 9603.69 | 4.265e+07 | 2.537e+16 | 6.910e−11 |
| −7.716 | 1742.474 | 21 448.55 | 2598.28 | 9230.50 | 3.115e+08 | 3.275e+16 | 9.379e−11 |
| −7.688 | 1741.958 | 16 452.96 | 2576.94 | 8904.13 | 5.090e+09 | 4.267e+16 | 1.225e−10 |
| −7.670 | 1741.677 | 14 563.79 | 2563.49 | 8750.85 | 2.616e+10 | 4.821e+16 | 1.384e−10 |
| −7.650 | 1741.375 | 13 281.36 | 2547.98 | 8629.99 | 1.005e+11 | 5.288e+16 | 1.519e−10 |
| −7.619 | 1740.932 | 12 438.50 | 2524.56 | 8527.31 | 2.811e+11 | 5.644e+16 | 1.624e−10 |
| −7.569 | 1740.181 | 11 755.87 | 2485.82 | 8421.37 | 7.181e+11 | 5.955e+16 | 1.724e−10 |
| −7.493 | 1738.929 | 11 153.57 | 2426.15 | 8320.97 | 1.792e+12 | 6.221e+16 | 1.829e−10 |
| −7.367 | 1736.366 | 11 025.04 | 2326.12 | 8290.33 | 2.231e+12 | 6.314e+16 | 1.865e−10 |
| −7.181 | 1731.037 | 10 720.53 | 2177.02 | 8224.20 | 3.797e+12 | 6.526e+16 | 1.951e−10 |
| −6.970 | 1721.974 | 10 265.58 | 2011.09 | 8124.05 | 8.916e+12 | 6.922e+16 | 2.095e−10 |
| −6.749 | 1707.465 | 9715.99 | 1844.65 | 7988.06 | 2.802e+13 | 7.593e+16 | 2.312e−10 |
| −6.526 | 1686.144 | 8856.01 | 1690.74 | 7735.67 | 2.137e+14 | 8.882e+16 | 2.712e−10 |
| −6.309 | 1658.224 | 7795.31 | 1559.66 | 7304.40 | 4.410e+15 | 1.091e+17 | 3.418e−10 |
| −6.117 | 1624.854 | 7028.60 | 1462.92 | 6763.86 | 5.158e+16 | 1.145e+17 | 4.578e−10 |
| −5.941 | 1574.098 | 6557.72 | 1394.07 | 6236.97 | 1.917e+17 | 9.365e+16 | 7.011e−10 |
| −5.813 | 1513.174 | 6329.25 | 1356.97 | 5795.15 | 3.791e+17 | 8.313e+16 | 1.091e−09 |
| −5.718 | 1450.404 | 6170.02 | 1337.55 | 5436.53 | 6.566e+17 | 7.788e+16 | 1.707e−09 |
| −5.629 | 1377.409 | 6035.16 | 1322.88 | 5094.15 | 1.166e+18 | 7.684e+16 | 2.868e−09 |
| −5.545 | 1297.198 | 5917.21 | 1308.94 | 4743.88 | 2.138e+18 | 7.918e+16 | 5.097e−09 |
| −5.462 | 1213.885 | 5811.51 | 1295.43 | 4372.04 | 3.987e+18 | 8.403e+16 | 9.343e−09 |
| −5.378 | 1131.328 | 5721.67 | 1281.85 | 3966.16 | 7.399e+18 | 9.193e+16 | 1.718e−08 |
| −5.292 | 1053.377 | 5621.87 | 1268.10 | 3560.69 | 1.340e+19 | 9.640e+16 | 3.095e−08 |
| −5.204 | 981.679 | 5530.10 | 1253.97 | 3173.21 | 2.334e+19 | 1.007e+17 | 5.373e−08 |
| −5.108 | 915.365 | 5437.09 | 1238.75 | 2799.66 | 3.935e+19 | 1.027e+17 | 9.041e−08 |
| −5.005 | 853.993 | 5324.35 | 1222.61 | 2472.34 | 6.470e+19 | 9.790e+16 | 1.485e−07 |
| −4.898 | 797.356 | 5181.83 | 1206.00 | 2156.96 | 1.043e+20 | 8.519e+16 | 2.392e−07 |
| −4.788 | 744.541 | 5024.00 | 1189.04 | 1900.43 | 1.656e+20 | 7.182e+16 | 3.797e−07 |
| −4.674 | 695.532 | 4832.58 | 1171.63 | 1639.21 | 2.605e+20 | 5.969e+16 | 5.971e−07 |
| −4.561 | 653.802 | 4597.13 | 1154.41 | 1419.12 | 3.962e+20 | 5.659e+16 | 9.082e−07 |
| −4.447 | 622.481 | 4407.45 | 1137.25 | 1265.00 | 5.528e+20 | 6.721e+16 | 1.267e−06 |
| −4.328 | 597.786 | 4272.76 | 1119.65 | 1128.31 | 7.230e+20 | 8.015e+16 | 1.657e−06 |
| −4.195 | 574.639 | 4191.44 | 1099.93 | 1012.22 | 9.263e+20 | 9.434e+16 | 2.123e−06 |
| −4.034 | 549.903 | 4133.98 | 1076.47 | 911.45 | 1.203e+21 | 1.120e+17 | 2.758e−06 |
| −3.831 | 520.729 | 4101.84 | 1047.05 | 822.50 | 1.631e+21 | 1.389e+17 | 3.737e−06 |
| −3.561 | 483.854 | 4100.38 | 1008.59 | 727.04 | 2.376e+21 | 1.871e+17 | 5.447e−06 |
| −3.204 | 436.227 | 4114.42 | 954.39 | 628.79 | 3.813e+21 | 2.769e+17 | 8.827e−06 |
| −2.814 | 384.834 | 4168.77 | 878.54 | 525.51 | 6.337e+21 | 4.386e+17 | 1.467e−05 |
| −2.420 | 333.047 | 4256.59 | 785.46 | 478.56 | 1.039e+22 | 7.174e+17 | 2.408e−05 |
| −2.024 | 280.491 | 4367.86 | 677.34 | 533.85 | 1.689e+22 | 1.195e+18 | 3.912e−05 |
| −1.626 | 226.800 | 4493.61 | 556.53 | 627.63 | 2.729e+22 | 2.003e+18 | 6.323e−05 |
| −1.231 | 172.810 | 4632.97 | 426.63 | 842.48 | 4.348e+22 | 3.342e+18 | 1.008e−04 |
| −0.885 | 123.237 | 4878.05 | 339.81 | 1060.48 | 6.401e+22 | 5.723e+18 | 1.482e−04 |
| −0.585 | 77.334 | 5237.55 | 308.28 | 1254.70 | 8.724e+22 | 9.795e+18 | 2.018e−04 |
| −0.273 | 28.924 | 5819.11 | 309.23 | 1440.88 | 1.145e+23 | 2.281e+19 | 2.624e−04 |
| 0.111 | −14.283 | 6756.06 | 344.39 | 1611.76 | 1.317e+23 | 1.227e+20 | 3.020e−04 |
| 0.512 | −39.556 | 7928.25 | 403.81 | 1688.35 | 1.284e+23 | 7.189e+20 | 2.960e−04 |
| 0.909 | −57.325 | 9022.77 | 466.76 | 1740.88 | 1.195e+23 | 2.526e+21 | 2.802e−04 |
Notes. The BLOS is equal to 214.48 G and BHOR is equal to 146.5 G for all heights.
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