Abell团角分布的二级矩,三级矩以及空间三点相关函数

THE SECOND AND THIRD ANGULAR MORNENTS OF ABELL CLUSTERS, AND THEIR THREE-POINT SPATIAL CORRELATION FUNCTION

本文用"胞内计数"方法对北天区的富度R≥1的Abell团角分布的二级矩和三级矩作了统计,并由此得到了Abell团的空间三点相关函数;同时,本文还对D≤4,R≥1的Abell团红移样品的三点相关函数进行了统计.这些统计分析得到的结果与通过估计红移值对四组子样品进行统计分析所得到的结果是一致的,从而进一步说明,星系和Abell团的三点相关函数可用同一个普遍的标度形式来描述.

We estimate the second and the third moments of the counts in cells for the angular distribution of the northern Abell clusters of richness R≥1, and get their spatial three-point correlation function through Limber equations. We also analyse the three-point correlation functions for a complete redshift sample of Abell clusters with D≤4 and R≥1. The results obtained here agree very well with our previous estimates in paper Ⅰ, where we studied the spatial three-point correlation functions for four subsamples using the estimated redshifts. This further shows that the three point correlation functions of galaxies and of Abell clusters have the same universal form.