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Title:
The steady-state structure of accretion discs in central magnetic fields
Authors:
Matthews, O. M.; Speith, R.; Truss, M. R.; Wynn, G. A.
Affiliation:
AA(Department of Physics and Astronomy, University of Leicester, University Road, Leicester LE1 7RH), AB(Institut für Astronomie und Astrophysik, Universität Tübingen, Auf der Morgenstelle 10C, D-72076 Tübingen, Germany), AC(School of Physics and Astronomy, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS), AD(Department of Physics and Astronomy, University of Leicester, University Road, Leicester LE1 7RH)
Publication:
Monthly Notices of the Royal Astronomical Society, Volume 356, Issue 1, pp. 66-76. (MNRAS Homepage)
Publication Date:
01/2005
Origin:
MNRAS
Astronomy Keywords:
accretion, accretion discs, stars: dwarf novae, stars: magnetic fields, stars: neutron, stars: pre-main-sequence
DOI:
10.1111/j.1365-2966.2004.08430.x
Bibliographic Code:
2005MNRAS.356...66M

Abstract

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 and 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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