\begin{table}%t2 \caption{\label{table1}Time-averaged limb-darkening coefficients for the RHD simulation.} \par %\centerline { \begin{tabular}{lcccccccc} \hline \hline $\lambda$ & $a_{0}$ & $\sigma$ & $a_{1}$ & $\sigma$ & $a_{2}$& $\sigma$ & $a_{3}$ & $\sigma$ \\ ($\mu$m) & ~ & ($\%$) & ~& ($\%$) & ~&($\%$) & ~&($\%$) \\ \hline % 1.64\footnote{central wavelength of the corresponding IONIC filter} & 1.14 & 5 & -1.06 & 50 & 2.31 & 50 & -2.26 & 55 \\ % 2.22\footnote{central wavelength of the corresponding K222-FLUOR filter} & 1.12 & 5 & -0.95 & 50 & 2.37 & 45 & -2.39 & 45 \\ 1.64$^a$ & 1.00 & 5 & --0.93 & 50 & 2.03 & 50 & --1.98 & 55 \\ 2.22$^b$ & 1.00 & 5 & --0.85 & 50 & 2.12 & 45 & --2.13 & 45 \\ \hline \end{tabular}} \par \medskip $^a$ central wavelength of the corresponding {\it IONIC} filter;\\ $^b$ central wavelength of the corresponding $K$222-{\it FLUOR} filter.\\ (see Eq.~(\ref{claret_law}), where $\sigma$ is the standard deviation over time (57 profiles covering 3.5 years)). \end{table}