\begin{table}%t1 \caption{\label{obs_table}Details of \textit{RXTE} observations of Her~X-1 used for the timing analysis.} \par %\centerline {\begin{tabular}{l l l l l l l l} \hline\hline\noalign{\smallskip} 35~d cycle No.~$^{1}$ & 257 & 269 & 303 & 313 & 323 & 351 &373 \\ \hline\noalign{\smallskip} Source of observational data & RXTE & RXTE & RXTE & RXTE & RXTE & RXTE/INTEGRAL & INTEGRAL \\ Date of observation & July 96 & Sep. 97 & Dec. 00 & Dec. 01 & Nov. 02 & July 05 & Sep. 07 \\ Start of observation [MJD] & 50~290.027 & 50~704.912 & 51~896.319 & 52~243.060 & 52~600.061 & 53~574.715 & 54~346.088\\ No. of RXTE/INTEGRAL orbits used & 18 & 14 & 33 & 45 & 29 & 8/3 & 1 \\ Elapsed time of observation [days] & 1.42 & 2.43 & 5.62 & 3.52 & 4.02 & 8.16 & 2.03 \\ Elapsed time of obs. [binary orbits] & 0.83 & 1.43 & 3.30 & 2.07 & 2.36 & 4.80 & 1.20 \\ Coverage of binary orbits [\%] & 36.6 & 10.0 & 10.0 & 30.7 & 18.9 & 37.0 & 53.0 \\ Number pulse profiles & 139 & 45 & 61 & 161 & 133 & 9/69 & 27 \\ Mean integration time per profile [s] & 322 & 276 & 802 & 580 & 493 & 420/2350 & 3500 \\ \hline \end{tabular}} \smallskip \par $^{1}$ The numbering of 35~d cycles follows \citet{Staubert_etal83}: ``Pulse profile counting'' is applied, based on pulse profile shapes repeating with an average period of 34.98~d \citep{Staubert_etal09}. \end{table}