Fundamental parameters and stellar mass function of four open clusters close to the galactic plane

In the context of understanding star formation in the galactic plane, we present the results from the analysis of four young open clusters using archival data from Gaia Data Release 3, the Two-Micron All Sky Survey (2MASS) and Panoramic Survey Telescope and Rapid Response System (Pan-STARRS). The open clusters—[BDB2003]G085.25−00.02, [BDS2003]48, [BDS2003]65 and [FSR2007]0584 are situated close to the galactic plane between the galactic latitudes, \(b = -0.23^{\circ }\) and \(0.837^{\circ }\). The likely cluster members and mean proper motions were determined using a Gaussian likelihood model fit to the proper motion data provided by Gaia DR3. The cluster radii are estimated to be in the range of 2–3.3 arcmin. From the H–K vs. J–H color–color diagram, we identified probable young stellar objects. Using the J–H vs. J–K color–color diagram and PARSEC isochrones, we determined the line-of-sight interstellar reddening E(J–H) as \(0.56\pm 0.03\) mag, \(0.4\pm 0.09\) mag, \(0.4\pm 0.1\) mag and \(0.42\pm 0.08\) mag for [BDB2003]G085.25−00.02, [BDS2003]48, [BDS2003]65 and [FSR2007]0584, respectively. From the fit of isochrones to color–magnitude diagrams, we determined the distances and ages of the clusters. [BDB2003] G085.25−00.02 is located at a distance of \(2.88\pm 0.15\) kpc, [BDS2003]48 is located at a distance of \(4.78\pm 0.18\) kpc, [BDS2003]65 is located at a distance of \(2.18\pm 0.07\) kpc and [FSR2007]0584 is located at a distance \(3.31\pm 0.14\) kpc. We obtained the \(\log (\textrm{age})\) of [BDB2003] G085.25−00.02 as \(6.85\pm 0.2\), the \(\log (\textrm{age})\) [BDS2003]48 as \(6.2\pm 0.5\), the \(\log (\textrm{age})\) of [BDS2003]65 as \(\log (\textrm{age})\) of \(6.7\pm 0.16\) and the \(\log (\textrm{age})\) of [FSR2007]0584 as \(6.9\pm 0.55\). From the stellar masses predicted by the fitted isochrones for the cluster members, we obtained the present-day mass-functions of the clusters. The mass-function slopes are \(-2.47\pm 0.14\) for [BDB2003]G085.25−00.02, \(-2.1\pm 0.25\) for [BDS2003]48, \(-2.61\pm 0.22\) for [BDS2003]65 and \(-2.4\pm 0.23\) for [FSR2007]0584. Within the limits of error of a least-squares fit, the mass-function slopes are in fair agreement with the Salpeter slope of \(-2.35\).