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arXiv 1210.0932astro-ph.EP
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来自Roche内部流体盘的月球吸积

Lunar accretion from a Roche-interior fluid disk

Julien Salmon, Robin M. Canup

摘要:

我们使用一种混合的数值方法来模拟月球的形成,从一个冲击产生的磁盘,包括一个流体模型的磁盘内的罗氏限制和N-体代码来描述吸积罗氏限制之外。由于内部盘由于热调节粘度而扩散,材料被输送穿过罗氏极限并吸积成添加到N体模拟中的小卫星。与先前纯N体程序获得的几个月的吸积时间尺度相反,这里月球生长的最后阶段是由内部盘的缓慢扩展控制的,导致月球吸积的总时间尺度为~10^2年。有人提出,内盘可能通过扩散混合与地球成分平衡,这为地球和月球相同的氧同位素组成提供了一个可能的解释。然而,最终月球的质量分数来自内部圆盘,受到圆盘和外部生长卫星之间的共振扭矩的限制。对于质量小于2.5的初始盘,我们发现质量大于0.8的最终月球包含小于60%来自内部盘的物质,这些物质在吸积结束时优先输送到月球。

英文摘要:

We use a hybrid numerical approach to simulate the formation of the Moon from an impact-generated disk, consisting of a fluid model for the disk inside the Roche limit and an N-body code to describe accretion outside the Roche limit. As the inner disk spreads due to a thermally regulated viscosity, material is delivered across the Roche limit and accretes into moonlets that are added to the N-body simulation. Contrary to an accretion timescale of a few months obtained with prior pure N-body codes, here the final stage of the Moon's growth is controlled by the slow spreading of the inner disk, resulting in a total lunar accretion timescale of ~10^2 years. It has been proposed that the inner disk may compositionally equilibrate with the Earth through diffusive mixing, which offers a potential explanation for the identical oxygen isotope compositions of the Earth and Moon. However, the mass fraction of the final Moon that is derived from the inner disk is limited by resonant torques between the disk and exterior growing moons. For initial disks containing < 2.5 lunar masses (ML), we find that a final Moon with mass > 0.8ML contains < 60% material derived from the inner disk, with this material preferentially delivered to the Moon at the end of its accretion.

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