Abstract

Our aim is to investigate the tidal interaction in High-mass X-ray Binaries and Symbiotic stars in order to determine in which objects the rotation of the mass donors is synchronized or pseudosynchronized with the orbital motion of the compact companion. We find that the Be/X-ray binaries are not synchronized and the orbital periods of the systems are greater than the rotational periods of the mass donors. The giant and supergiant High-mass X-ray binaries and symbiotic stars are close to synchronization. We compare the rotation of mass donors in symbiotics with the projected rotational velocities of field giants and find that the M giants in S-type symbiotics rotate on average 1.5 times faster than the field M giants. We find that the projected rotational velocity of the red giant in symbiotic star MWC 560 is <em>v</em> sin <em>i</em>= 8.2±1.5 km.s<sup>−1</sup>, and estimate its rotational period to be <em>P</em><sub>rot<>/sub = 144 - 306 days. Using the theoretical predictions of tidal interaction and pseudosynchronization, we estimate the orbital eccentricity e = 0.68 − 0.82.</sub>

Highlights

  • A High-mass X-ray binary system consists of a compact object accreting material from an O or B companion star

  • In the giant/supergiant X-ray binaries, the mass donor ejects a slow and dense wind radially outflowing from the equator and the compact object directly accretes the stellar wind through Bondi-Hoyle-Lyttleton accretion

  • MWC 560 is a symbiotic star, which consists of a red giant and a white dwarf (Tomov et al 1990)

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Summary

Synchronization and Pseudosynchronization

A High-mass X-ray binary system consists of a compact object (a neutron star or a black hole) accreting material from an O or B companion star. They are divided into Be/X-ray binaries (main-sequence star as a companion) and Giant/Supergiant X-ray binaries (giant or supergiant star as a companion). In a binary with a circular orbit the rotational period of the primary, Prot, reaches an equilibrium value at the orbital period, Porb = Prot. In a binary with an eccentric orbit the tidal force acts to synchronize the rotation of the mass donor with the motion of the compact object at the periastron - pseudosynchronous rotation.

Stars with radiative envelopes
Stars with convective envelopes
High-mass X-ray Binaries
S-type Symbiotic Stars
Orbital Eccentricity of MWC 560
Conclusions
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