\begin{table}%T2 \par \caption{\label{t:results}Summary of the basic properties and fitting results.} \scriptsize %\centering \par \begin{tabular}{l|cccccccc} \hline\hline & \multicolumn{3}{c|}{Input parameters} & \multicolumn{5}{c}{Best fit parameters} \\\hline Object & $T_{\rm eff}$ [K]& $V_{\rm gas}$ [km~s$^{-1}$]& \multicolumn{1}{c|}{$D$ [pc]} & $\vec{\tau} _{\lambda}$ & $T_{\rm a}$ [K] & $T_{\rm d}$ [K] & $r_{\rm d}$ [\arcsec]& $Y_{\rm d}$ \\ \hline AQ~And & 2700 & 15 & \multicolumn{1}{c|}{825} & 0.003 &1200 & 27.9--27.5--29.1--30.5--32.4--40.4--44.8 & 51--48--41--35--30--14--10 &1.17--1.01--1.1--1.01--1.1--2--1.5 \\ \par U~Ant & 2800 & 19 & \multicolumn{1}{c|}{260} & 0.002&1000 & 39.3 & 40 & 1.3 \\ \par TT~Cyg & 2800 & 13.5 & \multicolumn{1}{c|}{510} & 0.002&1000 & 28.3--30.6--34--36.8--45 & 33--26--19--14--7 & 1.16--1.13--1.11--1.11--2 \\ \hline & \multicolumn{6}{c}{Models outputs} \\\hline % \hline Object & $\dot{M}_{\rm a}$ [$M_{\odot}~{\rm yr}^{-1}$]& \multicolumn{3}{c}{$\dot{M}\ (\times10^{-7}$) [$M_{\odot}~{\rm yr}^{-1}$]} & $L$ [$L_{\odot}$]& ${M}\ (\times10^{-3}$)~[$M_{\odot}$] \\ \hline AQ~And & $1 \times 10^{-10}$ & \multicolumn{3}{c}{74--152--9--57--3--0.6--0.3} &12~000 & 20 \\ \par U~Ant & $1 \times10^{-10}$ & \multicolumn{3}{c}{7} & 8000 & $3.8\times10^{-2}$ \\ \par TT~Cyg & $1.3\times10^{-9}$ & \multicolumn{3}{c}{2--3--0.2--0.1--0.09} & 2700 & 0.6 \\ \hline \end{tabular} \tablefoot{$T_{\rm eff}$ is the adopted effective temperature, $V_{\rm gas}$ the terminal velocity derived from CO~line measurements, $D$ the distance to the star, $\vec{\tau}_{\lambda}$ is the overall optical depth at 0.55~$\mu$m, $T_{\rm a}$ the inner temperature of the attached shell, $T_{\rm d}$ the inner dust temperature of the detached shell(s), $r_{\rm d}$ the inner radius of the detached shell(s), $Y_{\rm d}$ the detached shell(s) thickness in inner shell~radius units, $L$ the luminosity, $\dot{M}_a$ the actual mass-loss rate, $\dot{M}$ the mass-loss rate of the detached shell(s), and ${M}$ the total dust and gas mass-loss.} \end{table}