\begin{table}%t1
\caption{\label{tab:model.params}Model parameters.}
%\centerline
{
\begin{tabular}{@{}cccccccccl} 
\hline\hline
Id & Time (yr) & $M_\star (M_{\odot})$ 
& $R_{\rm S}$ (AU) & $Z_{\rm S}$ (AU)& $M_{\rm S} (M_{\odot})$ 
& $\dot{M}_\star (M_{\odot}$~yr$^{-1}$) 
& $L_{\rm TOT} ({L}_{\odot})$ & $T_\star$ (K) 
& Description \\
\hline
{\texttt t0} & 0 & -- & -- &  -- & -- & -- & -- & -- &initial conditions\\
\texttt{t1} & $5.3\times10^{4}$ & -- & -- &  -- & --  & -- & -- & -- & before sink formation \\
\texttt{t2} & $5.3\times10^{4}$ & 0.01 & 4.0 &  3.4 & 0.04 & $5\times10^{-5}$ & 5.7  & 5150   & a protostar has formed \\
\texttt{t3} & $6.0\times10^{4}$ & 0.20  & 4.0 &  0.4 & 0.09 & $1\times10^{-5}$& 27.2 & 7650 & \\
\texttt{t4} & $6.8\times10^{4}$ & 0.49 & 4.0 &  0.4 & 0.05 & $2\times10^{-6}$& 12.3 & 6250 &\\
\texttt{t5} & $6.9\times10^{4}$ & 0.53 & 4.0 &  0.4 & 0.01 & $4\times10^{-7}$& 2.5  & 4200 & protostar is off centre \\
\hline
\end{tabular}}
\smallskip
$Z_{\rm S}$, $R_{\rm S}$: Smartie dimensions (Fig.~\ref{fig.smartie}).   $M_{\rm \star}$: Stellar mass.  
$T_\star$: Star temperature. 
$M_{\rm S}$: Smartie mass.  $\dot{M}_\star$: Accretion rate onto the central star. 
 $L_{\rm TOT}$:~Total star luminosity (intrinsic + accretion).
\end{table}