\begin{table}%t2 \caption{\label{tab:unperturbed_models}A short description and the parameters of the unperturbed numerical models.} %\centerline { \begin{tabular}{l c c c l} \hline \hline Name & $\ell_B$ & $q$ & $d$ & Description \\ \hline 1-q01 & 1.0 & 0.1 & 2.0 & Small ASO contribution, matching very close to protostar (Fig.~\ref{fig:matching_surface}) \\ 2-q02 & 1.0 & 0.2 & 2.0 & Small ASO contribution, matching close to protostar \\ 3-q05 & 1.0 & 0.5 & 2.0 & Small ASO contribution, matching close to disk (Fig.~\ref{fig:matching_surface}) \\ 4-q01 & 2.0 & 0.1 & 2.0 & Medium ASO contribution, matching very close to protostar (Fig.~\ref{fig:matching_surface}) \\ 5-q02 & 2.0 & 0.2 & 2.0 & Medium ASO contribution, matching close to protostar (Figs.~\ref{fig:time_evolution}, \ref{fig:time_difference}, \ref{fig:critical_surfaces}, \ref{fig:variables}, \ref{fig:integrals}, \ref{fig:characteristics}) \\ 6-q05 & 2.0 & 0.5 & 2.0 & Medium ASO contribution, matching close to disk (Fig.~\ref{fig:matching_surface}) \\ 7-B05 & 0.5 & 0.2 & 2.0 & Very small ASO contribution (Fig.~\ref{fig:lambda_b}) \\ 8-B5 & 5.0 & 0.2 & 2.0 & Large ASO contribution (Fig.~\ref{fig:lambda_b}) \\ 9-B10 & 10.0 & 0.2 & 2.0 & Very large ASO contribution \\ 10-d1 & 2.0 & 0.2 & 1.0 & Medium ASO contribution, smooth transition (Fig.~\ref{fig:steepness}) \\ 11-d4 & 2.0 & 0.2 & 4.0 & Medium ASO contribution, steep transition (Fig.~\ref{fig:steepness}) \\ \hline \end{tabular}} \medskip \par The non listed parameters are common for all models and have the following values: $\ell_l = 0.1$, $\ell_V = 5.96$ and $A_{\rm m} = 1.33$. \end{table}