Abstract
We studied the open star cluster Berkeley 76 using Gaia DR3 and 2MASS data sets. We obtained 314 most probable cluster members with a membership probability greater than 80%. We have found the cluster center as α = 106.67 ± 0.07 deg and δ=−11.75±0.07 deg. The mean PMs of cluster members in right ascension and declination are −0.60±0.22 and 1.35 ± 0.19 mas yr−1, respectively. The radial density profile estimates the cluster’s radius to be 4.5 arcmin. The cluster’s heliocentric distance is estimated as 4.27±0.91 kpc, and its age is determined as 1.60±0.35 Gyr. Using the most probable cluster members, we determined the mass function slope for Berkeley 76 as 1.57 ± 0.19. This value is close to Salpeter’s slope within the uncertainty. Berkeley 76 is a dynamically relaxed cluster with a relaxation time of 23.4 Myr.
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