Eccentric disks in binary systems. I - The stability

Astronomy and Astrophysics – Astrophysics

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Accretion Disks, Binary Stars, Stellar Models, Cataclysmic Variables, Dynamic Stability, Eccentricity, Gas Flow, Hydrodynamics, Velocity Distribution

Scientific paper

The time-dependent behavior of elliptical gas rings is investigated. These are proposed as a possible explanation for the superhump phenomenon in SU UMa stars. Numerical hydrodynamical calculations are performed applying a pseudo-particle method which allows for viscous interaction and, therefore, also for tidal friction within the gas. First results of interest show that in contradiction to single-particle calculations elliptical disks can survive in the primary's Roche-lobe for ten and more orbital periods without being destroyed or totally circularized due to the secondary's gravitational force. Further important conclusions that can be drawn are: (1) in order to maintain the ellipticity the kinematic viscosity is strongly limited; (2) mass loss from the elliptical disk can occur to an amount of more than 90 percent; most of this material returns to the secondary and the rest is lost from the system.

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