\begin{table}%t1 \caption{\label{tab:obs}Log of recent soft X-ray observations of LMC~X-1 with good S/N. (Instruments not considered here are in parenthesis.)} %\centering \small \begin{tabular}{ccccccccc} \hline\hline\noalign{\smallskip} Obs. & Start date & Start date & Exposure & ${\phi_{\rm orb}^{(\rm T3)}}$\tablefootmark{\dagger} & ${\phi_{\rm orb}^{(\rm F9)}}$\tablefootmark{\ddagger} & Satellite & ObsID & Instruments \\ & & (MJD) & (ks) \\ \hline C1 & 2000-01-16 & 51559.2 & 19 & 0.45--0.51 & 0.50--0.56 & \textit{Chandra} & 93 & HETGS \\ X1 & 2000-10-21 & 51838.7 & 5--7 & 0.94--0.96 & 0.98--0.01 & \textit{XMM} & 0112900101 & PN, RGS~1+2, (MOS~1+2)\\ X2 & 2002-09-26 & 52543.2 & 35 & 0.17--0.28 & 0.21--0.32 & \textit{XMM} & 0023940401 & RGS~1+2, (MOS~1+2) \\ S1 & 2007-10-31 & 54404.7 & 2.4 & 0.37--0.42 & 0.37--0.43 & \textit{Swift} & 00037079001 & (BAT), XRT/PC, (UVOT) \\ S2 & 2007-12-06 & 54440.4 & 9.8 & 0.49--0.61 & 0.50--0.62 & \textit{Swift} & 00037079002 & (BAT), XRT/WT, (UVOT) \\ S3 & 2007-12-10 & 54444.1 & 4.4 & 0.43--0.50 & 0.43--0.50 & \textit{Swift} & 00037079003 & (BAT), XRT/WT, (UVOT) \\ \hline \end{tabular} \tablefoot{\tablefoottext{\dagger}{Orbital phase calculated from the ephemeris of \citet[Table~\ref{tab:NH}]{Orosz2009}: $T_0={\rm MJD}\;53~390.8436$, $P=3.90917$~d;} \tablefoottext{\ddagger}{orbital phase calculated from the ephemeris of \citet[Fig.~9]{Orosz2009}: $T_0={\rm MJD}\;53~390.75174$, $P=3.9094$~d.}} \end{table}