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Table 2
Fit parameters for all planets considered here.
| Parameters | 1 M⊕ planet | 5 M⊕ planet | 10 M⊕ planet | TRAPPIST-1e | Venus | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| fit | Fe/Si | Fe/Si | Fe/Si | Fe/Si | Profile | |||||||||
| 50% | 100% | 150% | 50% | 100% | 150% | 50% | 100% | 150% | 138% | 150% | Hot | Cold | ||
| log μ (Pa) | 10.52 | 10.40 | 10.31 | 10.93 | 10.76 | 10.63 | 11.18 | 11.00 | 10.86 | 10.25 | 9.97 | 10.02 | 10.30 | |
| log η (Pa s) | 22.27 | 22.01 | 21.79 | 23.93 | 23.93 | 23.92 | 24.66 | 24.59 | 24.55 | 21.76 | 21.64 | 21.21 | 23.86 | |
| α = 0.25 | ζ | 19.28 | 6.15 | 3.65 | 35.08 | 8.62 | 2.62 | 10.25 | 3.79 | 1.77 | 4.15 | 1.18 | 0.89 | 89.52 |
| RMS | 1.24e-2 | 7.62e-3 | 3.38e-3 | 1.12e-2 | 7.72e-3 | 5.66e-3 | 6.57e-3 | 3.24e-3 | 1.62e-3 | 2.90e-3 | 1.56e-2 | 2.16e-2 | 1.20e-2 | |
| τM (s) | 5.62e11 | 4.07e11 | 3.02e11 | 1.00e13 | 1.48e13 | 1.95e13 | 3.02e13 | 3.89e13 | 4.90e13 | 3.24e11 | 4.68e11 | 1.55e11 | 3.63e13 | |
| τM (day) | 6.51e6 | 4.72e6 | 3.50e6 | 1.16e8 | 1.71e8 | 2.26e8 | 3.50e8 | 4.50e8 | 5.67e8 | 3.75e6 | 5.41e6 | 1.79e6 | 4.20e8 | |
| log μ (Pa) | 10.53 | 10.41 | 10.32 | 10.94 | 10.77 | 10.63 | 11.19 | 11.00 | 10.86 | 10.24 | 9.96 | 10.01 | 10.34 | |
| log η (Pa s) | 22.24 | 21.98 | 21.78 | 23.91 | 23.89 | 23.85 | 24.64 | 24.58 | 24.53 | 21.76 | 21.65 | 21.19 | 23.82 | |
| α = 0.15 | ζ | 282.08 | 46.94 | 17.84 | 204.18 | 33.40 | 7.83 | 43.12 | 11.09 | 4.23 | 23.19 | 6.13 | 4.21 | 4999.98 |
| RMS | 1.48e-2 | 9.19e-3 | 5.45e-3 | 1.20e-2 | 9.01e-3 | 7.37e-3 | 7.27e-3 | 3.97e-3 | 2.43e-3 | 4.05e-3 | 1.54e-2 | 2.38e-02 | 1.93e-2 | |
| τM (s) | 5.13e11 | 3.72e11 | 2.88e11 | 9.33e12 | 1.32e13 | 1.66e13 | 2.82e13 | 3.80e13 | 4.68e13 | 3.31e11 | 4.90e11 | 1.51e11 | 3.02e13 | |
| τM (day) | 5.94e6 | 4.30e6 | 3.34e6 | 1.08e8 | 1.53e8 | 1.92e8 | 3.26e8 | 4.40e8 | 5.41e8 | 3.83e6 | 5.67e6 | 1.75e6 | 3.50e8 | |
| log μ (Pa) | 10.51 | 10.39 | 10.30 | 10.92 | 10.76 | 10.64 | 11.18 | 11.00 | 10.86 | 10.25 | 10.01 | 10.04 | 10.26 | |
| log η (Pa s) | 22.31 | 22.04 | 21.80 | 23.96 | 24.00 | 24.07 | 24.67 | 24.63 | 24.61 | 21.77 | 21.66 | 21.22 | 23.91 | |
| α = 0.35 | ζ | 4.98 | 2.22 | 1.67 | 11.90 | 3.05 | 0.90 | 4.90 | 1.95 | 0.91 | 1.81 | 0.36 | 0.38 | 6.73 |
| RMS | 1.05e-2 | 6.39e-3 | 1.73e-3 | 1.03e-2 | 6.48e-3 | 4.05e-3 | 5.80e-3 | 2.55e-3 | 1.36e-3 | 1.64e-3 | 1.60e-2 | 1.78e-2 | 4.50e-3 | |
| τM (s) | 6.31e11 | 4.47e11 | 3.16e11 | 1.10e13 | 1.74e13 | 2.69e13 | 3.09e13 | 4.27e13 | 5.62e13 | 3.31e11 | 4.47e11 | 1.51e11 | 4.47e13 | |
| τM (day) | 7.30e6 | 5.17e6 | 3.66e6 | 1.27e8 | 2.01e8 | 3.12e8 | 3.58e8 | 4.94e8 | 6.51e8 | 3.83e6 | 5.17e6 | 1.75e6 | 5.17e8 | |
Notes. The Maxwell Time, τM, is also given. We note that: ζ = τA∕τM. The fitted values for TRAPPIST-1e are given for the case where the viscosity of the high pressure ice is 1016 Pa s, which corresponds to Fig. 10.
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