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arXiv 0802.2285astro-ph
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m(R)=21 ~ 26的柯伊伯带光度函数

The Kuiper Belt Luminosity Function from m(R)=21 to 26

W. C. Fraser, JJ Kavelaars, M. J. Holman, C. J. Pritchet, B. J Gladman, T. Grav, R. L. Jones, J. MacWilliams, J. -M. Petit

摘要:

我们对柯伊伯带进行了黄道成像测量,我们最深和最宽的领域达到了m(g ')= 26.4的极限通量,天空覆盖范围为3.0平方度。这是在此深度进行的任何其他柯伊伯带调查的最大覆盖范围。我们探测到72个物体,其中两个已经被观察到。我们改进了Gladman等人(1998)提出的贝叶斯极大似然拟合技术,以考虑校准和天空密度变化,并使用它来确定柯伊伯带的光度函数。结合我们的探测与以前的调查,我们发现光度函数很好地代表了一个单一的幂律,斜率α = 0.65 +/- 0.05和黄道天空密度为每平方度1个物体比m(R)=23.42 +/- 0.13亮。假设碰撞角为常数,该斜率表明差异粒度分布斜率为4.25 +/- 0.25,如果带处于碰撞平衡状态,则比预期的Dohnanyi斜率3.5更陡。我们没有发现在光度函数中存在翻转或拐点的证据,并且拒绝了m(R)~ 24.6的这种模型。

英文摘要:

We have performed an ecliptic imaging survey of the Kuiper belt with our deepest and widest field achieving a limiting flux of m(g') = 26.4, with a sky coverage of 3.0 square-degrees. This is the largest coverage of any other Kuiper belt survey to this depth. We detect 72 objects, two of which have been previously observed. We have improved the Bayesian maximum likelihood fitting technique presented in Gladman et al. (1998) to account for calibration and sky density variations and have used this to determine the luminosity function of the Kuiper belt. Combining our detections with previous surveys, we find the luminosity function is well represented by a single power-law with slope alpha = 0.65 +/- 0.05 and an on ecliptic sky density of 1 object per square-degree brighter than m(R)=23.42 +/- 0.13. Assuming constant albedos, this slope suggests a differential size-distribution slope of 4.25 +/- 0.25, which is steeper than the Dohnanyi slope of 3.5 expected if the belt is in a state of collisional equilibrium. We find no evidence for a roll-over or knee in the luminosity function and reject such models brightward of m(R) ~ 24.6.

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