Table 2
System properties of the fast-spinning simulations.
Simulations run as in the fast-spinning case using the regular proto-Earth model | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Run | b | vimp | Ptar | ![]() |
![]() |
![]() |
δFE[%] | ![]() |
δfT[%] | δenrich | Qtar,solid | Qimp | ![]() |
Lrf12Solid | −0.30 | 20 | 2.3 | 2.68 | 0.09 | 0.65 | 1.2 | 2.71 | −11 | 0.00 | 0.55 | 5.39 | 0.18 |
Lrf12Molten | −0.30 | 20 | 2.3 | 2.68 | 0.06 | 0.44 | 0.6 | 2.69 | −8 | −0.02 | 0.30 | 6.09 | 0.12 |
Lrf1Molten* | −0.30 | 23 | 2.3 | 2.62 | 0.10 | 0.81 | 0.6 | 3.50 | 2 | 0.02 | 1.22 | −9.29 | 0.18 |
Lrf2Molten* | −0.40 | 10 | 2.3 | 2.84 | 0.04 | 0.34 | 0.0 | 0.93 | −11 | −0.03 | 0.32 | 4.97 | 0.09 |
Lrf3Molten* | −0.50 | 10 | 2.3 | 2.79 | 0.02 | 0.17 | 0.0 | 1.03 | −10 | −0.03 | 0.30 | 5.41 | 0.04 |
Lrf4Molten* | −0.30 | 10 | 2.5 | 2.31 | 0.02 | 0.14 | 0.0 | 0.62 | −6 | −0.01 | 0.00 | 8.61 | 0.03 |
Lrf5Molten* | −0.30 | 10 | 3.0 | 2.31 | 0.02 | 0.14 | 0.0 | 0.62 | −11 | −0.02 | 0.30 | 4.89 | 0.03 |
Lrf6Molten | 0.00 | 23 | 3.0 | 1.43 | 0.01 | 0.11 | 0.0 | 2.12 | −4 | 0.00 | −1.00 | 18.73 | 0.01 |
Lrf7Molten | 0.00 | 10 | 3.0 | 1.50 | 0.00 | 0.01 | 0.0 | 0.13 | 0 | 0.05 | 0.84 | −1.78 | 0.00 |
Lrf8Solid | 0.00 | 20 | 3.0 | 1.47 | 0.00 | 0.04 | 0.0 | 1.27 | −16 | 0.00 | 0.56 | 4.15 | 0.00 |
Lrf8Molten | 0.00 | 20 | 3.0 | 1.47 | 0.00 | 0.03 | 0.9 | 1.15 | −8 | −0.01 | 0.13 | 6.47 | 0.00 |
Lrf9Molten | −0.30 | 10 | 3.0 | 1.31 | 0.00 | 0.02 | 0.0 | 0.39 | −67 | −0.22 | 0.56 | 1.51 | 0.00 |
Lrf10Solid | −0.30 | 20 | 3.0 | 1.14 | 0.00 | 0.03 | 0.0 | 1.89 | −15 | 0.00 | 0.60 | 4.25 | 0.00 |
Lrf10Molten | −0.30 | 20 | 3.0 | 1.14 | 0.00 | 0.03 | 0.0 | 1.91 | −7 | −0.01 | 0.07 | 8.23 | 0.00 |
Lrf11Solid | −0.30 | 20 | 2.5 | 2.12 | 0.02 | 0.14 | 0.2 | 2.26 | −8 | 0.00 | 0.30 | 7.06 | 0.04 |
Lrf11Molten | −0.30 | 20 | 2.5 | 2.12 | 0.01 | 0.09 | 0.0 | 2.29 | −9 | −0.02 | 0.27 | 5.86 | 0.03 |
Lrf13Solid | −0.50 | 20 | 2.3 | 2.56 | 0.05 | 0.40 | 2.0 | 3.08 | −7 | 0.00 | 0.34 | 8.23 | 0.12 |
Lrf13Molten | −0.50 | 20 | 2.3 | 2.56 | 0.05 | 0.37 | 2.6 | 3.27 | −9 | −0.02 | 0.33 | 5.97 | 0.10 |
Lrf14Solid | −0.50 | 20 | 2.5 | 2.00 | 0.01 | 0.06 | 2.5 | 2.73 | −17 | 0.00 | 0.71 | 3.92 | 0.01 |
Lrf14Molten | −0.50 | 20 | 2.5 | 1.99 | 0.01 | 0.04 | 3.1 | 2.89 | −8 | −0.02 | 0.30 | 6.15 | 0.01 |
Lrf15Solid | 0.30 | 10 | 3.0 | 1.71 | 0.00 | 0.04 | 0.0 | 0.17 | −41 | 0.00 | 0.83 | 2.19 | 0.01 |
Simulations run as in the fast-spinning case using the double-layered proto-Earth model | |||||||||||||
Run | b | vimp | Ptar | ![]() |
![]() |
![]() |
δFE[%] | ![]() |
δfT[%] | δenrich | Qtar,solid | Qimp | ![]() |
Lrdf1Solid | −0.30 | 20 | 2.3 | 2.70 | 0.09 | 0.72 | 1.4 | 2.28 | −9 | 0.0 | 0.82 | 6.27 | 0.20 |
Lrdf2Solid | −0.30 | 30 | 2.3 | 2.70 | 0.08 | 0.58 | 1.2 | 2.45 | −8 | 0.0 | 0.79 | 7.38 | 0.16 |
Lrdf3Solid | −0.30 | 10 | 2.3 | 2.37 | 0.08 | 0.62 | 1.9 | 8.09 | −4 | 0.0 | 0.66 | 12.58 | 0.16 |
Lrdf4Solid | 0.00 | 10 | 2.3 | 2.92 | 0.11 | 0.83 | 0.3 | 0.81 | −18 | 0.0 | 0.90 | 3.81 | 0.28 |
Lrdf5Solid | 0.00 | 20 | 2.3 | 3.09 | 0.07 | 0.49 | 0.3 | 0.60 | −21 | 0.0 | 0.90 | 3.40 | 0.17 |
Lrdf6Solid | −0.15 | 20 | 2.3 | 2.97 | 0.07 | 0.53 | 2.4 | 2.45 | −11 | 0.0 | 0.84 | 5.37 | 0.19 |
![]() |
−0.30 | 20 | 2.3 | 2.84 | 0.11 | 0.80 | 2.9 | 2.18 | −10 | 0.0 | 0.82 | 6.13 | 0.23 |
Notes. All the different cases consist of N = 3.1 × 105 SPH particles.
Lrf# signifies simulations run with the PES and PEM models, Lrdf# represents simulations run with the two-layered model, and
is a df# simulation in which we have tripled the vaporization energy. The * at the end of some run names signifies simulations that were run with constant AV parameters (α = 1, β = 2). Here, b is the impact parameter, vimp is the impact speed in kilometres per second, Ptar is the spin period of the target planet in hours, Lsys is the angular momentum of the bound system, LD is the angular momentum of the disk, MD is the disk mass, δFE is the iron content of the disk, Mesc escaping mass, and Mm is the estimated mass of the resulting moon. The parameters are scaled by angular momentum of the Earth–Moon system (LEM) and by the mass of the Moon (MM). The compositional parameters (δfT, δenrich, Qimp, Qtar,solid) are all defined in Sect. 3.
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