Bayesian and Statistical Analysis of the Open Star Cluster NGC 6416

Abstract

In our Bayesian and Statistical Analysis investigation of the open cluster NGC 6416, we utilized Gaia EDR3 astrometry data and ensemble-based unsupervised machine learning techniques to identify 406 cluster members. Using the MESA Isochrones and Stellar Tracks (MIST) with Gaia EDR3 data, we determined the following parameters for NGC 6416: a distance of approximately 1021pc, an age of about $12.58\pm 0.1$ Myr, a metallicity (z) of roughly $0.032\pm0.0015$, a binarity fraction near $0.419\pm0.021$, and an extinction ($A_V$) of approximately $0.995\pm0.058$ mag for an $R_V$ value of around $3.064\pm0.102$. We also fitted the radial surface density profile and conducted orbit analysis of the cluster using galpy. And finally found that the star formation scenarios are not observed in the open star cluster NGC 6416.