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Table 1

System properties of the canonical impact simulations.

Simulations run as in the canonical case using the rocky Theia model

Run b δFE[%] δfT[%] δenrich Qtar,solid Qimp
Hrc1Solid 0.73 1.26 1.23 0.34 2.22 5 0.31 −52 0.00 0.88 1.95 1.19
Hrc1Molten 0.73 1.26 1.22 0.30 1.99 5 0.32 −46 −0.02 0.78 1.45 0.98
Hrc2Solid 0.70 1.26 1.21 0.37 2.38 5 0.42 −59 0.00 0.90 1.83 1.29
Hrc2Molten 0.70 1.26 1.21 0.33 2.09 5 0.44 −56 −0.04 0.78 1.45 1.18
Hrc3Solid 0.67 1.26 1.04 0.20 1.36 8 1.59 −43 0.00 0.86 2.15 0.57
Hrc3Molten 0.67 1.26 1.02 0.16 1.17 6 1.67 −37 −0.01 0.78 1.51 0.41
Mrc1Solid 0.73 1.26 1.23 0.37 2.42 5 0.26 −57 0.00 0.89 1.86 1.23
Lrc1Solid 0.73 1.26 1.19 0.32 2.15 3 0.48 −50 0.00 0.88 1.98 1.04
Lrc1Molten 0.73 1.26 1.18 0.31 1.97 2 0.53 −52 −0.04 0.77 1.50 1.08
Lrc2Solid 0.70 1.26 1.14 0.31 2.06 3 0.80 −60 0.00 0.90 1.82 0.99
Lrc2Molten 0.70 1.26 1.12 0.27 1.79 2 0.94 −51 −0.04 0.78 1.50 0.84
Lrc3Solid 0.67 1.26 1.02 0.19 1.29 4 1.66 −41 0.00 0.86 2.21 0.54
Lrc3Molten 0.67 1.26 1.07 0.21 1.45 4 1.29 −49 −0.04 0.77 1.54 0.60
Lrc4Solid 0.50 1.26 0.87 0.09 0.66 10 2.84 −39 0.00 0.85 2.27 0.24
Lrc4Molten 0.50 1.26 0.87 0.10 0.69 8 2.95 −38 −0.03 0.74 1.95 0.27
Lrc5Solid 0.70 1.36 1.09 0.30 1.77 4 1.82 −52 0.00 0.90 1.95 1.22
Lrc5Molten 0.70 1.36 1.12 0.31 1.81 8 1.60 −51 −0.04 0.77 1.56 1.24
Lrc6Solid 0.70 1.16 1.12 0.25 1.84 1 0.31 −63 0.00 0.90 1.79 0.65
Lrc6Molten 0.70 1.16 1.10 0.18 1.32 2 0.46 −52 −0.04 0.77 1.50 0.50
Lrc7Solid 0.30 1.26 0.56 0.17 1.42 14 8.34 −20 0.00 0.74 3.50 0.26
Lrc7Molten 0.30 1.26 0.57 0.20 1.43 18 8.17 −16 −0.01 0.58 3.89 0.53
Lrc8Solid 0.50 1.36 0.84 0.11 0.72 13 3.73 −41 0.00 0.87 2.21 0.40
Lrc8Molten 0.50 1.36 0.84 0.16 1.01 17 3.79 −48 −0.04 0.76 1.82 0.55
Lrc9Solid 0.80 1.26 1.24 0.39 2.33 1 0.12 −63 0.00 0.90 1.78 1.51
Lrc9Molten 0.80 1.26 1.24 0.39 2.32 1 0.13 −56 −0.04 0.78 1.46 1.51
Lrc10Solid 0.80 1.36 1.32 0.43 2.60 7 0.30 −59 0.00 0.90 1.83 1.69
Lrc10Molten 0.80 1.36 1.31 0.44 2.59 10 0.32 −52 −0.04 0.78 1.42 1.73
Lrc11Solid 0.50 1.51 0.74 0.20 1.23 23 5.28 −47 0.00 0.90 2.05 0.80
Lrc11Molten 0.50 1.51 0.73 0.19 1.12 25 5.42 −44 −0.04 0.76 1.90 0.77
Lrc12Solid 0.30 1.36 0.45 0.43 2.66 30 11.02 −24 0.00 0.81 3.06 1.64
Lrc12Molten 0.30 1.36 0.45 0.47 2.66 35 10.92 −25 −0.02 0.71 2.68 1.99
Lrc13Solid 0.40 1.26 0.76 0.07 0.60 10 4.30 −25 0.00 0.78 2.98 0.11
Lrc13Molten 0.40 1.26 0.77 0.08 0.64 7 4.20 −21 −0.01 0.66 2.87 0.17
Lrc14Solid 0.60 1.26 0.96 0.12 0.90 5 2.06 −42 0.00 0.86 2.18 0.28
Lrc14Molten 0.60 1.26 0.97 0.13 0.94 4 2.05 −42 −0.03 0.76 1.69 0.33
Lrc15Solid 0.76 1.26 1.22 0.35 2.11 2 0.28 −59 0.00 0.89 1.84 1.35
Lrc15Molten 0.76 1.26 1.22 0.35 2.23 1 0.29 −54 −0.04 0.78 1.46 1.27

Simulations run as in the canonical case using the simple-layered proto-Earth model

Run b δFE[%] δfT[%] δenrich Qtar,solid Qimp

Hdrc1Solid 0.73 1.26 1.23 0.16 0.97 5 0.25 −42 0.00 0.83 2.16 0.58
Hdrc1Molten 0.73 1.26 1.22 0.16 1.12 4 0.31 −24 0.03 0.87 0.19 0.45
Hdrc2Solid 0.73 1.34 1.30 0.41 2.55 4 0.31 −64 0.00 0.91 1.77 1.53
Hdrc2Molten 0.73 1.34 1.30 0.43 2.69 4 0.32 −59 −0.06 0.75 1.33 1.58
Hdrc3Solid 0.73 1.43 1.31 0.51 2.8 6 0.71 −62 0.00 0.91 1.8 2.27
Hdrc3Molten 0.73 1.43 1.12 0.27 1.52 5 2.00 −47 −0.04 0.75 1.32 1.19
Hdrc4Solid 0.70 1.26 1.22 0.3 2.09 3 0.39 −62 0.00 0.90 1.80 0.87
Hdrc4Molten 0.70 1.26 1.21 0.26 1.78 2 0.47 −61 −0.07 0.73 1.43 0.81
Hdrc5Solid 0.70 1.37 1.07 0.20 1.21 9 2.02 −44 0.00 0.87 2.12 0.82
Hdrc5Molten 0.70 1.37 1.07 0.20 1.22 9 2.07 −35 −0.02 0.76 1.17 0.78
Hdrc6Solid 0.67 1.26 1.04 0.12 0.84 5 1.66 −39 0.00 0.84 2.25 0.31
Hdrc6Molten 0.67 1.26 1.02 0.08 0.62 3 1.74 −37 −0.03 0.73 1.47 0.20

Simulations run as in the canonical case using the icy Theia model

Run b δFE[%] δfT[%] δenrich Qtar,solid Qimp

Lic1Solid 0.73 1.28 1.20 0.51 2.77 0 0.56 −88 0.00 0.91 1.56 2.28
Lic1Molten 0.73 1.28 1.22 0.50 2.78 0 0.50 −81 −0.07 0.77 1.39 2.21
Lic2Solid 0.73 1.38 1.33 0.90 5.84 0 0.43 −92 0.00 0.94 1.54 3.12
Lic2Molten 0.73 1.38 1.32 0.88 5.95 0 0.45 −91 −0.10 0.78 1.46 2.78
Lic3Solid 0.80 1.28 1.21 0.52 2.76 0 0.33 −87 0.00 0.90 1.57 2.49
Lic3Molten 0.80 1.28 1.26 0.53 2.90 0 0.21 −79 −0.07 0.77 1.38 2.39
Lic4Solid 0.50 1.28 0.59 0.14 0.82 0 4.45 −74 0.00 0.91 1.66 0.58
Lic4Molten 0.50 1.28 0.54 0.09 0.56 0 5.09 −76 −0.07 0.78 1.47 0.34
Lic5Solid 0.50 1.38 0.53 0.14 0.84 0 5.44 −77 0.00 0.92 1.64 0.55
Lic5Molten 0.50 1.38 0.52 0.14 0.79 0 5.69 −75 −0.07 0.79 1.45 0.60
Lic6Solid 0.67 1.28 1.17 0.67 4.13 0 0.80 −89 0.00 0.93 1.55 2.56
Lic6Molten 0.67 1.28 1.16 0.64 3.94 0 0.87 −91 −0.10 0.77 1.45 2.41
Lic7Solid 0.30 1.28 0.31 0.12 1.02 0 9.07 −42 0.00 0.88 2.17 0.11
Lic7Molten 0.30 1.28 0.28 0.11 0.95 0 9.03 −41 −0.02 0.79 1.74 0.14
Lic8Solid 0.60 1.28 0.74 0.25 1.42 0 3.28 −83 0.00 0.92 1.59 1.08
Lic8Molten 0.60 1.28 0.60 0.09 0.67 0 4.33 −77 −0.08 0.77 1.45 0.25

Notes. Hdrc# are high-resolution simulations run with the simple-layered proto-Earth model. The simulations run with the multi-layered proto-Earth are Hrc# which is run with N = 3.3 × 106 particles and Mrc1solid which is a simulation run with N = 1.2 × 106 particles and the rest of the simulations were run with N = 1.2 × 105 particles. rc# indicates simulations run with a rocky impactor and ic# indicates simulations run with an icy impactor. Here, b is the impact parameter, Limp is the angular momentum of the impact, 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 satellite. The parameters are scaled by the 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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