Detailed Study of the Czernik 1 Open Star Cluster Using Gaia DR3: Detection of a Tidal tail and elongated halo

In this paper, we study Czernik 1 Open stars Cluster in more details using Gaia Data Release 3 (DR3). Czernik 1 is a poorly studied open star cluster, for which new results are found in the current study. In order to estimate the membership, we have used pyUPMASK python package, HDBSCAN algorithm. Moreover from photometric and astrometric date of Gaia DR3, all the astrophysical parameters of the cluster, the center, cluster radius, radial density distribution, color-magnitude diagrams, distance, age, and reddening of Czernik 1 are calculated. Also, the luminosity and mass functions, the total mass and the relaxation time of the cluster are estimated. One of main result, the cluster has a compact core and extended corona which is elongated towards tangent velocity which means the cluster is affected with the tidal force of Galaxy or by shear force embedded in differential rotation. Moreover, the proper motions (µ α cosδ , µ δ), and parallaxes (ϖ) are-2.707 ± 0.251 ,-0.886 ± 0.174 and 0.263 ± 0.042 , respectively. Combine King model with pyUPMASK membership, we get 1449.4± 67.80 stars with total mass 2256.0± 59.50 M ⊙. From PARSEC stellar iscochrones fit , we get all physical parameters. Our estimates for the average cluster age and the relaxation time are 226.0± 12.30 and 143.1± 12.54 Myrs, respectively. The color excess is found to be 1.100 ± 0.040 and then the cluster distance modulus has been determined to be 12.834± 0.080 mag which is corresponding to distance 3688.1± 261.5 parsecs. Finally, The slope value of the mass function (α) of Czernik 1 is found to be 1.77 ± 0.02 which is much more less than Salpeter value.