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Table A.3.
Semi-empirical model atmospheric parameters for the umbral flash.
| 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 | 1654.248 | 90 033.87 | 12 111.70 | 10 730.73 | 4.692e+05 | 8.064e+15 | 2.195e−11 |
| −7.767 | 1653.794 | 37 810.17 | 11 824.80 | 9326.73 | 1.059e+07 | 1.928e+16 | 5.249e−11 |
| −7.744 | 1653.146 | 30 694.74 | 11 796.83 | 9013.04 | 2.967e+07 | 2.376e+16 | 6.470e−11 |
| −7.716 | 1652.472 | 23 449.14 | 11 762.00 | 8644.43 | 1.561e+08 | 3.037e+16 | 8.541e−11 |
| −7.688 | 1651.901 | 18 496.46 | 11 727.24 | 8322.07 | 1.269e+09 | 3.796e+16 | 1.089e−10 |
| −7.670 | 1651.583 | 16 634.27 | 11 705.45 | 8170.68 | 4.424e+09 | 4.222e+16 | 1.212e−10 |
| −7.650 | 1651.236 | 15 382.89 | 11 680.35 | 8051.30 | 1.232e+10 | 4.567e+16 | 1.311e−10 |
| −7.619 | 1650.718 | 14 586.59 | 11 642.57 | 7949.88 | 2.566e+10 | 4.821e+16 | 1.384e−10 |
| −7.569 | 1649.831 | 13 979.85 | 11 580.16 | 7845.24 | 4.725e+10 | 5.038e+16 | 1.447e−10 |
| −7.493 | 1648.341 | 13 490.22 | 11 483.74 | 7746.08 | 8.039e+10 | 5.237e+16 | 1.504e−10 |
| −7.367 | 1645.260 | 13 532.87 | 11 319.21 | 7715.81 | 7.768e+10 | 5.254e+16 | 1.509e−10 |
| −7.181 | 1638.772 | 13 420.09 | 11 059.57 | 7650.49 | 9.051e+10 | 5.372e+16 | 1.543e−10 |
| −6.970 | 1627.627 | 13 041.14 | 10 734.64 | 7551.58 | 1.467e+11 | 5.661e+16 | 1.627e−10 |
| −6.749 | 1609.696 | 12 340.98 | 10 345.11 | 7417.26 | 3.821e+11 | 6.218e+16 | 1.790e−10 |
| −6.526 | 1583.246 | 11 088.77 | 9889.73 | 7167.97 | 2.677e+12 | 7.240e+16 | 2.138e−10 |
| −6.309 | 1548.190 | 9517.37 | 9373.38 | 6741.99 | 5.820e+13 | 9.090e+16 | 2.770e−10 |
| −6.117 | 1510.208 | 8256.89 | 8844.09 | 6208.09 | 1.522e+15 | 1.179e+17 | 3.625e−10 |
| −5.941 | 1469.702 | 7353.24 | 8295.94 | 5687.68 | 2.718e+16 | 1.411e+17 | 4.870e−10 |
| −5.813 | 1431.003 | 6843.85 | 7850.20 | 5251.28 | 1.281e+17 | 1.307e+17 | 6.715e−10 |
| −5.718 | 1387.965 | 6508.08 | 7495.06 | 4897.07 | 2.934e+17 | 1.051e+17 | 9.613e−10 |
| −5.629 | 1325.962 | 6230.52 | 7156.98 | 4558.89 | 5.787e+17 | 8.335e+16 | 1.545e−09 |
| −5.545 | 1239.268 | 5991.23 | 6838.40 | 4212.93 | 1.196e+18 | 7.033e+16 | 2.918e−09 |
| −5.462 | 1131.062 | 5785.73 | 6532.82 | 3845.65 | 2.749e+18 | 6.540e+16 | 6.461e−09 |
| −5.378 | 1015.390 | 5616.16 | 6229.45 | 3444.76 | 6.648e+18 | 6.654e+16 | 1.540e−08 |
| −5.292 | 908.743 | 5439.70 | 5926.76 | 3044.27 | 1.537e+19 | 6.377e+16 | 3.537e−08 |
| −5.204 | 817.634 | 5267.88 | 5621.31 | 2661.55 | 3.228e+19 | 5.809e+16 | 7.411e−08 |
| −5.108 | 740.030 | 5088.01 | 5299.66 | 2292.59 | 6.245e+19 | 4.945e+16 | 1.432e−07 |
| −5.005 | 673.424 | 4883.30 | 4967.67 | 1969.29 | 1.136e+20 | 3.948e+16 | 2.604e−07 |
| −4.898 | 618.331 | 4647.59 | 4637.78 | 1657.78 | 1.933e+20 | 3.361e+16 | 4.431e−07 |
| −4.788 | 577.021 | 4397.33 | 4314.39 | 1404.41 | 2.992e+20 | 3.794e+16 | 6.858e−07 |
| −4.674 | 548.312 | 4115.43 | 3998.50 | 1146.39 | 4.235e+20 | 4.504e+16 | 9.708e−07 |
| −4.561 | 527.361 | 3796.38 | 3703.65 | 929.01 | 5.727e+20 | 4.050e+16 | 1.313e−06 |
| −4.447 | 508.172 | 3530.97 | 3429.59 | 776.78 | 7.587e+20 | 2.871e+16 | 1.756e−06 |
| −4.328 | 487.696 | 3328.18 | 3170.74 | 641.77 | 1.027e+21 | 1.994e+16 | 2.391e−06 |
| −4.195 | 464.538 | 3184.40 | 2910.10 | 527.11 | 1.422e+21 | 1.675e+16 | 3.362e−06 |
| −4.034 | 438.912 | 3077.41 | 2645.02 | 427.58 | 2.005e+21 | 1.705e+16 | 4.900e−06 |
| −3.831 | 410.283 | 3050.59 | 2389.47 | 339.72 | 2.889e+21 | 2.185e+16 | 7.313e−06 |
| −3.561 | 376.920 | 3148.82 | 2202.44 | 245.43 | 4.438e+21 | 3.698e+16 | 1.113e−05 |
| −3.204 | 337.707 | 3349.05 | 2049.13 | 148.39 | 7.139e+21 | 8.060e+16 | 1.737e−05 |
| −2.814 | 297.305 | 3473.04 | 1498.97 | 46.38 | 1.133e+22 | 1.496e+17 | 2.747e−05 |
| −2.420 | 254.185 | 3469.77 | 751.60 | 0.00 | 1.856e+22 | 2.122e+17 | 4.629e−05 |
| −2.024 | 208.486 | 3460.80 | 79.44 | 54.62 | 3.089e+22 | 3.074e+17 | 8.072e−05 |
| −1.626 | 161.803 | 3477.48 | −236.50 | 147.24 | 5.115e+22 | 4.749e+17 | 1.413e−04 |
| −1.231 | 115.809 | 3548.18 | 81.02 | 359.46 | 8.408e+22 | 7.999e+17 | 2.403e−04 |
| −0.885 | 77.213 | 3715.15 | 754.06 | 574.77 | 1.302e+23 | 1.484e+18 | 3.588e−04 |
| −0.585 | 46.587 | 3965.82 | 1384.56 | 766.61 | 1.816e+23 | 2.999e+18 | 4.695e−04 |
| −0.273 | 19.110 | 4399.76 | 2067.41 | 950.50 | 2.434e+23 | 7.884e+18 | 5.579e−04 |
| 0.111 | −14.600 | 5101.98 | 2920.66 | 1119.28 | 2.825e+23 | 2.218e+19 | 6.475e−04 |
| 0.512 | −60.880 | 5960.08 | 3787.71 | 1194.93 | 3.426e+23 | 5.926e+19 | 7.853e−04 |
| 0.909 | −104.583 | 6729.88 | 4583.35 | 1246.82 | 4.047e+23 | 2.164e+20 | 9.281e−04 |
Notes. The BLOS is equal to 3313.25 G and BHOR is zero, for all heights.
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