CCD <i>UBV</i> and Gaia DR3 Analyses of the Open Clusters King 6 and NGC 1605

A detailed analysis of ground-based CCDUBV photometry and space-based Gaia Data Release 3(DR3)data for the open clusters King 6 and NGC 1605 was performed. Using the PYUPMASK algorithm on Gaia astrometric data to estimate cluster membership probabilities, we have identified 112 stars in King 6 and 160 stars in NGC 1605 as the statistically most likely members of each cluster. We calculated reddening and metallicity separately using UBV two-color diagrams to estimate parameter values via independent methods. The color excess E(B-V)and photometric metallicity[Fe/H]for King 6 are 0.515 +/- 0.030 mag and 0.02 +/- 0.20 dex, respectively. For NGC 1605, they are 0.840 +/- 0.054 mag and 0.01 +/- 0.20 dex, respectively. With reddening and metallicity kept constant, we have estimated the distances and cluster ages by fitting PARSEC isochrones to color-magnitude diagrams based on the Gaia and UBV data. The photometric distances are 723 +/- 34 pc for King 6 and 3054 +/- 243 pc for NGC 1605. The cluster ages are 200 +/- 20 Myr and 400 +/- 50 Myr for King 6 and NGC 1605, respectively. The mass function slopes were found to be 1.29 +/- 0.18 and 1.63 +/- 0.36 for King 6 and NGC 1605, respectively. These values are in good agreement with the value of Salpeter. The relaxation times were estimated as5.8 Myr for King 6 and 60 Myr for NGC 1605. These indicate that both clusters are dynamically relaxed since these times are less than the estimated cluster ages. A Galactic orbit analysis shows that both clusters formed outside the solar circle and are members of the young thin-disk population.