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Table 1

Parameters of the 1D MESA models for the 3D MagIC input.

Model Nρ ρo(g ⋅ cm−3) Δ T(K) To(K) Po(kbar) ro(RJ) η M χm E Ra
1 MJ 0.4 Gyr 2.99 0.165 19 782 4858 55.6 1.030 0.164 47.36 0.874 1.08 ⋅ 10−5 1.27 ⋅ 109
1 MJ 0.5 Gyr 2.98 0.171 18 847 4665 57.3 1.023 0.156 45.58 0.878 1.08 ⋅ 10−5 1.22 ⋅ 109
1 MJ 0.7 Gyr 2.99 0.172 17 345 4306 54.8 1.014 0.166 48.03 0.881 1.12 ⋅ 10−5 1.05 ⋅ 109
1 MJ 1 Gyr 2.99 0.177 16 158 4002 54.5 1.005 0.159 46.91 0.884 1.12 ⋅ 10−5 9.81 ⋅ 108
1 MJ 1.5 Gyr 2.98 0.181 15 004 3716 54.0 0.998 0.1628 47.47 0.884 1.15 ⋅ 10−5 8.78 ⋅ 108
1 MJ 2.1 Gyr 2.99 0.181 13 999 3428 51.0 0.992 0.169 49.61 0.887 1.18 ⋅ 10−5 7.87 ⋅ 108
1 MJ 2.8 Gyr 2.99 0.184 13 278 3220 50.0 0.987 0.170 49.77 0.890 1.20 ⋅ 10−5 7.33 ⋅ 108
1 MJ 3.5 Gyr 2.99 0.187 12 424 2983 49.2 0.981 0.171 50.07 0.889 1.21 ⋅ 10−5 6.71 ⋅ 108
1 MJ 5 Gyr 2.99 0.190 11 742 2779 48.3 0.975 0.172 52.29 0.892 1.23 ⋅ 10−5 6.22 ⋅ 108
1 MJ 6.5 Gyr 2.98 0.192 11 031 2591 47.3 0.970 0.183 53.35 0.892 1.28 ⋅ 10−5 5.52 ⋅ 108
1 MJ 10 Gyr 3.00 0.193 10 180 2327 44.7 0.964 0.184 53.35 0.894 1.30 ⋅ 10−5 4.98 ⋅ 108
1 MJ 1 Gyr 2.30 0.351 14 973 5220 240 0.967 0.165 26.48 0.919 1.23 ⋅ 10−5 7.92 ⋅ 108
1 MJ 1 Gyr 3.68 0.0881 17 093 3100 14.9 1.022 0.156 89.66 0.869 1.08 ⋅ 10−5 1.10 ⋅ 109
1 MJ 1 Gyr 4.58 0.0358 17 962 2231 3.46 1.034 0.155 214.0 0.860 1.05 ⋅ 10−5 1.20 ⋅ 109
0.3 MJ 5 Gyr 1.10 0.545 3022 3754 563 0.650 0.275 16.89 0.879 3.61 ⋅ 10−5 3.18 ⋅ 107
0.7 MJ 5 Gyr 2.98 0.144 8927 2243 25.1 0.944 0.190 53.69 0.843 1.37 ⋅ 10−5 4.01 ⋅ 108
2 MJ 5 Gyr 2.98 0.338 20 486 4195 198 1.015 0.167 50.13 0.955 1.12 ⋅ 10−5 1.24 ⋅ 109
4 MJ 5 Gyr 2.98 0.671 38 765 6762 1060 1.025 0.159 47.94 1.000 1.08 ⋅ 10−5 2.49 ⋅ 109
4 MJ 0.5 Gyr 4.60 0.109 69 086 5533 33.6 1.137 0.140 32.20 0.959 8.37 ⋅ 10−6 6.50 ⋅ 109
4 MJ 1 Gyr 4.58 0.120 59 273 4829 33.9 1.109 0.148 31.26 0.961 8.98 ⋅ 10−5 5.02 ⋅ 109
4 MJ 10 Gyr 4.60 0.137 36 481 2880 27.7 1.048 0.169 31.81 0.967 1.06 ⋅ 10−5 2.42 ⋅ 109

Notes. Each line describes a different planetary model at a specific time and density cut, with the corresponding values of η = ri/ro, χm = rm/ro, the dimensionless mass of the shell M=4π∫riror2ρ(r)ρodr$M=4 \pi \int_{r_{i}}^{r_{o}} r^{2} \frac{\rho(r)}{\rho_{o}} d r$, and the dynamo parameters E, Ra (after calibrating them in one case, as described in the text).

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