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arXiv 0807.3762astro-ph
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SDSS移动天体星表4中小行星族的尺度分布

The Size Distributions of Asteroid Families in the SDSS Moving Object Catalog 4

Alex H. Parker, Zeljko Ivezic, Mario Juric, Robert H. Lupton, Michael D. Sekora, Adam F. Kowalski

摘要:

小行星家族,传统上被定义为轨道参数空间中的天体集群,通常具有独特的光学颜色。我们表明,家庭成员的分离背景的闯入者可以提高与援助的SDSS颜色作为家庭成员资格。基于斯隆数字巡天移动物体目录4的约88,000个具有可用适当轨道要素的物体子集,我们使用轨道和颜色空间中的简单高斯分布模型定义了37个统计上稳健的小行星家族,至少有100个成员。对于给定的轨道族定义,基于颜色的闯入者拒绝率通常为~10%,其中四个族只能借助于颜色来可靠地隔离。在这个数据集中,大约50%的天体属于家族,这一比例从比H星等13更亮的天体的35%到比H星等13更暗的天体的60%不等。当H > 13时,C型天体在族中所占的比例随着H星等的增加而减少,而高于这一极限的S型天体所占的比例实际上保持不变。这表明,S型物体需要一个较短的时间尺度,通过碰撞处理平衡的背景和家庭的大小分布。15个家庭的大小分布显示了一个明确的变化的斜率,可以模拟为一个“破碎”的双幂律。这种“破碎”的大小分布是两倍的可能性为S型家庭比C型家庭,并占主导地位的动态老家庭。其余的家庭的大小分布,可以模拟为一个单一的权力法律占主导地位的年轻家庭。当粒度分布需要双幂律模型时,两个斜率相关,并且对于S型家族更陡。

英文摘要:

Asteroid families, traditionally defined as clusters of objects in orbital parameter space, often have distinctive optical colors. We show that the separation of family members from background interlopers can be improved with the aid of SDSS colors as a qualifier for family membership. Based on an ~88,000 object subset of the Sloan Digital Sky Survey Moving Object Catalog 4 with available proper orbital elements, we define 37 statistically robust asteroid families with at least 100 members using a simple Gaussian distribution model in both orbital and color space. The interloper rejection rate based on colors is typically ~10% for a given orbital family definition, with four families that can be reliably isolated only with the aid of colors. About 50% of all objects in this data set belong to families, and this fraction varies from about 35% for objects brighter than an H magnitude of 13 and rises to 60% for objects fainter than this. The fraction of C-type objects in families decreases with increasing H magnitude for H > 13, while the fraction of S-type objects above this limit remains effectively constant. This suggests that S-type objects require a shorter timescale for equilibrating the background and family size distributions via collisional processing. The size distributions for 15 families display a well-defined change of slope and can be modeled as a "broken" double power-law. Such "broken" size distributions are twice as likely for S-type familes than for C-type families, and are dominated by dynamically old families. The remaining families with size distributions that can be modeled as a single power law are dominated by young families. When size distribution requires a double power-law model, the two slopes are correlated and are steeper for S-type families.

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