\begin{table}%t3 \caption{\label{tab:freqF}Fundamental frequencies for~S2.} %\centering \par \begin{tabular}{crr} \hline\hline \noalign{\smallskip} & Frequency & Period \\ & $\degr/\rm yr$ & $\rm yr$ \\ \hline $n_\sb$ & 513.157691 & 0.70 \\ $n_\sc$ & 102.363620 & 3.52 \\ $g_1$ & 0.025537 & 14097.19 \\ $g_2$ & --0.455042 & 791.13 \\ $l_\theta$ & 4.492737 & 80.13 \\ \hline \end{tabular} \tablefoot {$n_\sb$ and $n_\sc$ are the mean motions, $g_1$ and~$g_2$ are the secular frequencies associated with~$\varpi_\sb$ and~$\varpi_\sc$ respectively, and~$l_\theta$ is the libration frequency of the resonant angle $\theta = \lambda_\sb - 5\lambda_\sc + \varpi_\sb + 3\varpi_\sc$.} \end{table}