The estimation of the main parameters of star clusters is significant in astrophysical studies. The most important aspect of using the Gaia DR2 survey lies in the positions, parallax, and proper motions of cluster stars with homogeneous photometry that make the membership probability determine with high accuracy. In this respect, depending on Gaia DR2 database, an analysis of the open star cluster Melotte 72 is taking place here. It is located at a distance of 2,345 ± 108 pc with an age of 1.0 ± 0.5 Gyr. In studying the radial density profile, the radius is found to be 5.0 ± 0.15 arcmin. The reddening, the luminosity and mass functions, the total mass of the cluster, and the galactic geometrical distances (X_⊙, Y_⊙, Z_⊙), and the distance from the galactic center (R_g) have been estimated as well. Our study has shown a dynamical relaxation behavior of Melotte 72.

中文翻译：

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使用 Gaia DR2 对疏散星团 Melotte 72 的调查

星团主要参数的估计在天体物理研究中具有重要意义。使用Gaia DR2巡天最重要的方面在于通过均匀测光的星团星的位置、视差和自行运动，使得隶属概率确定的精度很高。在这方面，根据盖亚 DR2 数据库，这里正在对疏散星团梅洛特 72 进行分析。它位于 2,345 ± 108 pc 的距离处，年龄为 1.0 ± 0.5 Gyr。在研究径向密度分布时，发现半径为 5.0 ± 0.15 arcmin。变红、光度和质量函数、星团总质量和星系几何距离 ( X _⊙ , Y _⊙ , Z _⊙)，并且还估计了到银河系中心的距离 ( R _g )。我们的研究显示了 Melotte 72 的动态松弛行为。