An analysis of the publicly available Rossi X-ray Timing Explorer (RXT
E) archive on Her X-l, including data on 23 34.85-d cycles, is perform
ed. The turn-on times for these cycles are determined. The number of c
ycles with a duration of 20.5 orbits has been found to be much larger
than the number of shorter (20 orbits) or longer (21 orbits) cycles. A
correlation between the duration of a cycle and its mean X-ray flux i
s noted. The mean X-ray light curve shows a very distinct short on-sta
te. The anomalous X-ray absorption dip is found during the first orbit
, after the turn-on in the main on-state for the cycles starting near
the binary phase 0.25, and is present during two successive orbits in
the low on-state. The post-eclipse recovery feature has not been found
in the main on-state but appears at least for two orbits during the l
ow on-state. The pre-eclipse dips are present in both main and low on-
states and demonstrate a behaviour like that of early observations. Th
e comparison of durations of the main and short on-states enables us t
o constrain the accretion disc semithickness and its inclination to th
e orbital plane.