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arXiv 0907.5142astro-ph.HE
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错位黑洞双星吸积盘的形状

The Shape of an Accretion Disc in a Misaligned Black Hole Binary

Rebecca G. Martin, J. E. Pringle, Christopher A. Tout

摘要:

我们在一个半分离的二元系统中的吸积盘的整体形状模型,在该系统中,质量被转移到一个旋转的黑洞的自旋轴与轨道旋转轴不一致。我们假设圆盘处于稳定状态。它的外部区域受到由伴星的潮汐力矩引起的差异岁差。这些趋向于使椎间盘的外部与眶平面对齐。它的内部区域受到由Lense-Thirring效应引起的微分进动的影响。这些倾向于使圆盘的内部部分与黑洞的旋转对准。我们给出了一些特定的光盘参数的光盘的形状的完整的数值解。然后,我们将展示如何解析逼近这些解决方案可以获得的情况下,当光盘表面密度随半径的幂律变化。这些解析解的形状的光盘是相当准确的,即使是大的错位,可以简单地适用于一般的光盘参数。当数值解速度较慢时,它们特别有用。

英文摘要:

We model the overall shape of an accretion disc in a semi-detached binary system in which mass is transfered on to a spinning black hole the spin axis of which is misaligned with the orbital rotation axis. We assume the disc is in a steady state. Its outer regions are subject to differential precession caused by tidal torques of the companion star. These tend to align the outer parts of the disc with the orbital plane. Its inner regions are subject to differential precession caused by the Lense-Thirring effect. These tend to align the inner parts of the disc with the spin of the black hole. We give full numerical solutions for the shape of the disc for some particular disc parameters. We then show how an analytic approximation to these solutions can be obtained for the case when the disc surface density varies as a power law with radius. These analytic solutions for the shape of the disc are reasonably accurate even for large misalignments and can be simply applied for general disc parameters. They are particularly useful when the numerical solutions would be slow.

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