A model of accretion disks in close binaries

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Binary Stars, Stellar Mass Accretion, Stellar Models, Astronomical Models, Disks (Shapes), Hydrodynamics, Radial Velocity, Three Body Problem

Scientific paper

Recent discoveries of binary systems with strong X-ray emission have stimulated the development of the theory of accretion disks in close binaries. In a close binary, the outer portion of an accretion disk can be strongly distorted by the gravitational field of the second star, and will lose its axial symmetry. As long as pressure and viscosity are small, the streamlines in the accretion disk will be stationary, and may be approximated by simple periodic particle trajectories of the restricted three-body problem. In the present study, the maximum size of an accretion disk in a close binary is determined, reducing the problem to the calculation of the largest simple periodic orbit that does not intersect other orbits. The maximum disk size is found to be much larger than that obtained by Kruszewski (1967), Flannery (1975), or Lubov and Shu (1975), but always smaller than the Roche lobe.

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