Pulse-timing observations of Hercules X-1

Results are presented from pulse-timing analysis of Hercules X-1, based on satellite observations spanning 7 years. The binary orbital elements are redetermined and the near circularity of the orbit is confirmed with a new 2 sigma upper limit of 0.0003 on the eccentricity. We also report a much improved value of 1.70016779d + or - 0.00000001d for the orbital period, with a 2 sigma upper limit on its rate of change. Observations of transitions into and out of eclipse are used to determine an eclipse half-angle of 24.56 deg + or - 0.03 deg, somewhat smaller than previously reported values. The secular trend toward shorter pulse periods is found to be continuing.