In the present work we present, for the first time ever, the exact configuration integral entering the partition function $Z$ that allows for a statistical mechanics treatment of galactic clustering. Thus, the general distribution function and the general clustering parameter for point mass systems is obtained from a grand canonical ensemble discussion. Such distribution is also approximated starting from the general Poisson distribution. The two ensuing distributions are similar. The advantage of the Poissonian distribution (PD) is that it facilitates finding a suitable probability factor $f$ to introduce within it without going into the deep mathematical intricacies involved in dealing with $Z$. The specific heat is paid special attention.

在当前的工作中，我们有史以来第一次将确切的配置积分引入分区函数 $ž$可以对银河系星团进行统计力学处理。因此，从大规模的规范集成讨论中获得了点质量系统的一般分布函数和一般聚类参数。从一般的泊松分布开始，这种分布也是近似的。随后的两个分布是相似的。泊松分布（PD）的优点在于，它有助于找到合适的概率因子$F$ 在其中进行介绍，而无需涉及处理中涉及的深层数学错综复杂 $ž$。比热要特别注意。