The attainment of synchronism in the presence of accretion in the AM Herculis binaries

Statistics – Computation

Scientific paper

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Binary Stars, Magnetic Diffusion, Stellar Mass Accretion, Stellar Rotation, Synchronism, White Dwarf Stars, Angular Velocity, Computational Astrophysics, Magnetic Moments, Orbital Elements, Red Dwarf Stars, Stellar Evolution

Scientific paper

Conditions are derived for which the white dwarf component in an AM Herculis binary can attain synchronism with the orbit in the presence of accretion. A stable locking mechanism must exist and, for the case of an initially over-synchronous white dwarf, there is a maximum value of the magnetic diffusivity of the secondary, η0, above which exact corotation cannot be attained. In the absence of a locking mechanism the primary will reach a slightly asynchronous state with a typical synodic period of a few tens of years. If η is significantly less than η0 the instantaneous angular velocity of the primary in this state will vary about a central value.

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