The steady-state structure of accretion discs in central magnetic fields

Details The steady-state structure of accretion discs in central magnetic fields The steady-state structure of accretion discs in central magnetic fields

2004-10-20

arxiv.org/abs/astro-ph/0410471v1

Mon.Not.Roy.Astron.Soc. 356 (2005) 66-76

Astronomy and Astrophysics

Astrophysics

11 pages, 7 figures, accepted by MNRAS

Scientific paper

10.1111/j.1365-2966.2004.08430.x

We develop a new analytic solution for the steady-state structure of a thin accretion disc under the influence of a magnetic field that is anchored to the central star. The solution takes a form similar to that of Shakura and Sunyaev and tends to their solution as the magnetic moment of the star tends to zero. As well as the Kramer's law case, we obtain a solution for a general opacity. The effects of varying the mass transfer rate, spin period and magnetic field of the star as well as the opacity model applied to the disc are explored for a range of objects. The solution depends on the position of the magnetic truncation radius. We propose a new approach for the identification of the truncation radius and present an analytic expression for its position.

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