\begin{table}%t5 \caption{\label{SSC_results}Results of SSC fits to the SED of H~2356--309.} %\centerline {\small \begin{tabular}{c c c c c} \hline\hline \noalign{\smallskip} & XMM$_1$\tablefootmark{a} & XMM$_2$$^a$ & RXTE$^{\dagger}$ & AH06\tablefootmark{c}\\ \noalign{\smallskip} \hline $\delta$ & 18 & 18 & 18 & 18\\ $B$ [G] & 0.16 & 0.16 & 0.16 & 0.16\\ $R$ [cm] & $7.5 \times 10^{15}$ & $7.5 \times 10^{15}$ & $7.0 \times 10^{15}$ & $3.4 \times 10^{15}$\\ $K$ [cm$^{-3}$] & $8.0 \times 10^{4}$ & $8.0 \times 10^{4}$ & $2.0 \times 10^{4}$ & $1.2 \times 10^{4}$\\ $\gamma_{\rm min}$ & $1.0 \times 10^{3}$ & $1.0 \times 10^{3}$ & $1.0 \times 10^{3}$ & $1.0 \times 10^{3}$\\ $\gamma_{\rm b}$ & $1.0 \times 10^{5}$ & $1.0 \times 10^{5}$ & $2.5 \times 10^{5}$ & $2.5 \times 10^{5}$\\ $\gamma_{\rm max}$ & $3.0 \times 10^{6}$ & $3.0 \times 10^{6}$ & $3.0 \times 10^{6}$ & $3.0 \times 10^{6}$\\ $n_1$ & 2.3 & 2.3 & 2.0 & 2.0 \\ $n_2$ & 3.6 & 3.5 & 3.4 & 4.0 \\ \hline \end{tabular}} \tablefoot{\tablefoottext{a}{The XMM$_1$ and XMM$_2$ results refer to the fits to the data from MJD 53~534 and 53~536, respectively. Using the \mbox{XMM-Newton} optical spectrum from MJD 53~536 instead of the average ROTSE-IIIc flux from 2004 for the RXTE campaign yields the same SSC fit parameters as shown in XMM$_2$.} \tablefoottext{b}{This is the result of the original SSC modeling of the RXTE campaign SED of H~2356--309 published in \cite{HESS_MWLI}. The RXTE$^{\dagger}$ results use the same multi-wavelength data as AH06 along with an improved calibration of the VHE data.}} \end{table}