\begin{table}%t1 %\centering \par \caption{\label{tab:mod}Canonical set of parameters used in the simulation.} \small \begin{tabular}{ll} \hline \hline\noalign{\smallskip} Target radius ($r_{\rm t}$):& $8\times 10^7$~cm \\ Target mean density ($\rho_{\rm t}$): & 2.25~g~cm$^{-3}$ \\ Water ice density ($\rho_{\rm ice}$): & 1.00~g~cm$^{-3}$ \\ Rock density ($\rho_{\rm s}$): & 3.50~g~cm$^{-3}$ \\ Projectile mean density ($\rho_{\rm p}$): & 2.5~g~cm$^{-3}$ \\ Original mixed material initial depth ($h_{\rm mix}$): & 0~cm \\ Water ice fraction in original material ($f_{\rm ice}$): & 0.5 \\ Initial fraction of crystalline water ice ($\eta$): & 0.0 \\ Target mean collisional velocity ($\langle V_{\rm col}\rangle$): & $2.48\pm0.86$~km~s$^{-1}$ \\ Target mean intrinsic collision probability ($\langle Pi \rangle$): & $1.47\pm0.02\times 10^{-22}$~km$^{-2}$~yr$^{-1}$ \\ Time for total amorphization ($T_{\rm amorph}$): & $1 \times 10^9$~yr \\ Thickness of layer with spectral information ($h_{\rm spec}$): & 200~$\mu$m \\ Crater depth/diameter ratio ($\mu$): & 0.2 \\ Energy fraction to kinetic energy of the fragments ($\delta_{\rm k}$): & 0.2 \\ Energy fraction to thermal process ($\delta_{\rm T}$): & 0.1 \\ Minimum thickness for global effect ($h_{\rm dep}$): & 0.01~$\mu$m \\ Total simulation time ($T_{\rm sim}$): & $4\times 10^9$~yr \\ Simulation time step ($\Delta_T$): & $1\times 10^4$~yr \\ Size distribution:& \\ $K_0$, & $4.11\times 10^{26}$ \\ $q_0$, $q_1$ & 4.20, $3.50{-}2.00$ \\ $r_1$ & $20{-}50$~km \\ \hline \end{tabular} \end{table}