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Table 2
Parameters used for calculation in the models.
| Variable | Symbol | Unit | Value | Reference | ||
|---|---|---|---|---|---|---|
| Initial dust porosity | ϕdust,0 | – | 0.4764 | Neumann et al. (2014b) | ||
| 0.3954 | Neumann et al. (2014b) | |||||
| Initial melt porosity | ϕmelt,0 | – |  |
See text | ||
| Initial H2 O volume fraction |  |
– | 0.25 | Bland et al. (2016) | ||
| – | 0.5 | For dust/ice = 1∕1 | ||||
| Initial radius at ϕdust = 0 | R0 | km | 0.1 | See text | ||
| Final radius at ϕdust = 0 | Rf | km | 467 | See text | ||
| Effective stress | σ | Pa | see Neumann et al. (2014b) | |||
| Grain size | b | m | 5 × 10−5 | De Sanctis et al. (2015) | ||
| Burial depth of the impact energy | ΔR | – | R∕5 | Šrámek et al. (2012) | ||
| Fraction of impact energy converted into thermal energy | f | – | 0.2 | Šrámek et al. (2012) | ||
| Gas constant |  |
J mol−1 K−1 | 8.314472 | Taylor et al. (1993) | ||
| Water density |  |
kg m−3 | 918 | – | ||
| Water viscosity | – | Pa s | 0.0016 | – | ||
| Dust intrinsic density | ρdust | kg m−3 | 2630 | Park et al. (2016) | ||
| kg m−3 | 3480 | For dust/ice = 1 | ||||
| Initial intrinsic density | ρintrinsic | kg m−3 | 2200 | See text | ||
| Ambient nebula temperature | TN | K | 170 | Ceres, Tosi et al. (2015) | ||
| inter-planet disk | TN | K | 110 | Wakita & Sekiya (2011) | ||
| Kuiper Belt | TN | K | 50 | Wakita & Sekiya (2011) | ||
| Impactor average temperature | TImp | K | TN + 5 | This paper | ||
| Water latent heat |  |
J K−1 kg−1 | 3.34 × 105 | – | ||
| Stefan-Boltzmann constant | σSB | W m−1 K−1 | 5.67 × 10−8 | – | ||
| Gravitational constant | G | m3 kg−1 s−2 | 6.67 × 10−11 | – | ||
| Isotope | 26Al | 60Fe | 40K | 232Th | 235U | 238U |
| Element mass fraction | 8.68 × 10−3 | 1.81 × 10−1 | 5.53 × 10−4 | 2.96 × 10−8 | 8.08 × 10−9 | 8.080 × 10−9 |
| Half-life [years] | 7.17 × 105 | 2.62 × 106 | 1.25 × 109 | 1.41 × 1010 | 7.04 × 108 | 4.470 × 109 |
| Initial ratio | 5.25 × 10−5 | 1.15 × 10−8 | 1.50 × 10−3 | 1.0 | 8.00 × 10−3 | 0.992 × 10−1 |
| Decay energy [J] | 4.99 × 10−13 | 4.34 × 10−13 | 1.11 × 10−13 | 6.47 × 10−12 | 7.11 × 10−12 | 7.610 × 10−12 |
References. The data for the calculation of the radiogenic energy production are from Barrat et al. (2012), Kita et al. (2013), Tang & Dauphas (2012), Finocchi & Gail (1997), Van Schmus (1995).
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