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arXiv 1102.5706astro-ph.EP
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柯伊伯带中观测到的二元分数集对碰撞研磨程度的限制

Observed Binary Fraction Sets Limits on the Extent of Collisional Grinding in the Kuiper Belt

David Nesvorny, David Vokrouhlicky, William F. Bottke, Keith Noll, Harold F. Levison

摘要:

冷经典柯伊伯带的尺度分布可以用两个理想化的幂律近似:一个是当半径R>R* 时斜率很陡,另一个是当半径R<R* 时斜率很浅,其中R*~25-50 km。以前的工作表明,在R* 处的SFD翻转可能是柯伊伯带中广泛的碰撞研磨的结果,导致大多数R<R* 的天体灾难性地破裂。在这里,我们使用一个新的代码来测试柯伊伯带碰撞的影响。我们发现,所观察到的翻转确实可以解释碰撞研磨提供的初始质量在大型机构是远远大于一个在目前的柯伊伯带,并动态耗尽。除了大小分布的变化,我们的代码还跟踪碰撞对二进制系统的影响。我们发现,它通常是更容易溶解宽的双星系统,如存在于今天的冷柯伊伯带,比灾难性地破坏对象与R~R*。因此,双星的存活对柯伊伯带中碰撞研磨的程度设定了重要的限制。我们发现,广泛的碰撞研磨需要产生的SFD翻转R* 将意味着一个强大的梯度的二进制分数与R和分离,因为它通常是更容易溶解的二进制小组件和/或那些具有广泛的轨道。对于R<R*,期望的二进制分数是<0.1。目前的观测数据没有显示出这样的梯度。相反,他们建议在R=30-40 km时有一个大的双星分数~0.4。这可能表明,翻转不是由破坏性碰撞产生的,而是KBO形成过程的化石遗迹。

英文摘要:

The size distribution in the cold classical Kuiper belt can be approximated by two idealized power laws: one with steep slope for radii R>R* and one with shallow slope for R<R*, where R*~25-50 km. Previous works suggested that the SFD roll-over at R* can be the result of extensive collisional grinding in the Kuiper belt that led to the catastrophic disruption of most bodies with R<R*. Here we use a new code to test the effect of collisions in the Kuiper belt. We find that the observed roll-over could indeed be explained by collisional grinding provided that the initial mass in large bodies was much larger than the one in the present Kuiper belt, and was dynamically depleted. In addition to the size distribution changes, our code also tracks the effects of collisions on binary systems. We find that it is generally easier to dissolve wide binary systems, such as the ones existing in the cold Kuiper belt today, than to catastrophically disrupt objects with R~R*. Thus, the binary survival sets important limits on the extent of collisional grinding in the Kuiper belt. We find that the extensive collisional grinding required to produce the SFD roll-over at R* would imply a strong gradient of the binary fraction with R and separation, because it is generally easier to dissolve binaries with small components and/or those with wide orbits. The expected binary fraction for R<R* is <0.1. The present observational data do not show such a gradient. Instead, they suggest a large binary fraction of ~0.4 for R=30-40 km. This may indicate that the roll-over was not produced by disruptive collisions, but is instead a fossil remnant of the KBO formation process.

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