\begin{table}%t3
\caption{\label{table:spatial transitions}Spatial information for the {\it averaged} vibrational transitions shown in Figs.~\ref{fig:av_line_hd97048_all} and~\ref{fig:av_line_hd100546_all}, and the radii used to model the kinematics.}
\par
\small%\centerline
 {
\begin{tabular}{lllll|l}
\hline \hline
%&&&&& \\[-8pt]
HD 97048    & cont.  & $v(2{-}1)$     & $v(3{-}2)$   & $v(4{-}3)$ & $R_{\rm in, out}^{\rm model}$  \\[2pt]     
\hline
%&&&&& \\[-8pt]
SPP [AU]  & 0       &  $14.8^{\pm 0.9}$ & $16.5^{\pm 2.7}$    & -- & 11   \\
{\it FWHM} [AU]$^a$ & $21.2^{\pm 1.6}$ &  $\geq$23.8$^{\pm 1.1}$ & $\geq$$23.0^{\pm 1.1}$ & -- & 100  \\
\hline
HD 100546    &   &      &    &  &   \\  
\hline
%&&&&& \\[-8pt]
SPP [AU]  & 0     &  $9.6^{\pm 0.5}$ & $9.4^{\pm 0.5}$    & $9.9^{\pm 1.5}$   & 8  \\
{\it FWHM} [AU] & $10.0^{\pm 0.9}$ & $\geq$$13.7^{\pm 0.6}$ & $\geq$$13.1^{\pm 0.6}$  & $\geq$$11.5^{\pm 0.7}$   &  100 \\
\hline
\end{tabular}}
\medskip
$^a$ Note that this {\it FWHM} is a function of continuum~+ line emission, but that the SPP has been corrected for the continuum dilution, and thus is a direct function of the CO~emission. All values are directly derived from the 2D~spectrum, and not the maximum value resulting from an alignment of the slit with the semi-major axis.
\end{table}