Abstract
Hercules X-1 exhibits a 35 day cycle in its X-ray intensity and 1.24 s and 1.7 day periodicities in its pulsar rotation and orbit, respectively. The features of the 35 day clock and the presence of a precessing tilted accretion disk have been discussed by many authors. A ring of matter at a given radius in the accretion disk will precess if it is tilted relative to the orbital plane. Under the assumption of a uniform precession of the disk, the periodic perturbation of the uniform precession has been analyzed by Levine and Jernigan. In this paper a complete expression is presented for both uniform and perturbed precession of the disk. The result is compared with observations, and it is in agreement with the analysis of the observations given in the literature. 27 refs.
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