\begin{table}%t3 \caption{\label{globsolut}Orbital elements of Her~X-1.} %\centerline {\begin{tabular}{l l l} \hline\hline\noalign{\smallskip} $T_{\pi/2}(0)$~[MJD (TDB)] &=& 46~359.871940(6)$^{1}$ \\ $P_{\rm orb}(0)$ ~[d] &=& 1.700167590(2) \\ $\dot P_{\rm orb}(0)$~[d/d] &=& $(-4.85\pm0.13)\times 10^{-11}$ \\ $a~{\rm sin}~i$~[lt-s] &=& 13.1831(4)$^{2}$ \\ eccentricity $\epsilon$ &=& $(4.2\pm0.8) \times 10^{-4}$ \\ omega~[deg] &=& $96.0 \pm 10.0$ \\ \hline \end{tabular}} \smallskip \par $^{1}$ The uncertainties in parentheses (68\%) refer to the last digit(s).\\ $^{2}$ Note that \citet{Deeter_etal81} had measured $a ~{\rm sin} ~i = 13.1831(3)$~\mbox{lt-s} (with a slightly smaller uncertainty). All other values are updated or~new. \par \end{table}