Two ~35 day clocks in Her X-1: evidence for neutron star free precession
R. Staubert, D. Klochkov, K. Postnov, N. Shakura, J. Wilms, R.E., Rothschild

TL;DR
This paper provides evidence for two approximately 35-day clocks in the Her X-1 binary system, suggesting neutron star free precession as the master clock and exploring their synchronization and physical implications.
Contribution
It introduces the hypothesis of neutron star free precession as a stable clock influencing accretion disk behavior in Her X-1, supported by observational synchronization patterns.
Findings
Two ~35 day cycles observed in Her X-1 system.
Synchronization between disk precession and neutron star precession.
Breakdown of synchronization during anomalous low state.
Abstract
We present evidence for the existence of two ~35 day clocks in the Her X-1/HZ Her binary system. ~35 day modulations are observed 1) in the Turn-On cycles with two on- and two off-states, and 2) in the changing shape of the pulse profiles which re-appears regularly. The two ways of counting the 35 day cycles are generally in synchronization. This synchronization did apparently break down temporarily during the long Anomalous Low (AL3) which Her X-1 experienced in 1999/2000, in the sense that there must have been one extra Turn-On cycle. Our working hypothesis is that there are two clocks in the system, both with a period of about ~35 days: precession of the accretion disk (the less stable "Turn-On clock") and free precession of the neutron star (the more stable "Pulse profile clock"). We suggest that free precession of the neutron star is the master clock, and that the precession of the…
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