Title: Investigating open cluster King 6: Detection of three new variables Show Chinese title

Title: 研究疏散星团King 6：新变星的发现

Abstract: This study presents photometric analysis of the intermediate-age open cluster King 6, utilizing photometric data in UBV(RI)$_c$ passband and data from the 2MASS mission. The Gaia DR3 kinematic data were used to estimate the membership probabilities and TESS data is employed to search for variable stars within the cluster. The cluster's radius is estimated to be 9$^\prime$.0 based on the stellar density profile, while optical and near-infrared color-color diagrams} revealed color excesses of E(B-V) = 0.58$ \pm$ 0.03, E(J-K) = 0.24 $\pm$ 0.03, and E(V-K) = 1.53 $\pm$ 0.01 mag. Interstellar extinction law is normal in the direction of the cluster. The cluster$^\prime$s estimated age is $\sim$251 Myr and distance is 724 $\pm$ 5 pc. The mass function slope was found to be x = 0.57 $\pm$ 0.28 by considering stars $\geq$ 1 M$_\odot$. Our analysis indicates that the cluster is dynamically relaxed. Furthermore, we identified three new variable stars for the first time in the cluster region using TESS data. These variables belong to the category of slow pulsating B-type variables, with periods of 46.70, 47.92, and 37.56 hours. Show Chinese abstract

Abstract: 这项研究利用U BV(RI)$_c$通带中的测光数据以及2MASS任务的数据，对中间年龄的星团King 6进行了光度分析。使用Gaia DR3运动学数据来估计成员概率，并利用TESS数据在星团内搜索变星。根据恒星密度分布，该星团的半径估计为9$^\prime$。通过光学和近红外颜色-颜色图，发现了色指数E(B-V) = 0.58$ \pm$0.03，E(J-K) = 0.24$\pm$0.03，E(V-K) = 1.53$\pm$0.01 mag的消光值。星际消光定律在星团方向上是正常的。 星团$^\prime$的估计年龄为$\sim$251 百万年，距离为 724$\pm$5 秒差距。 通过考虑 $\geq$1 M$_\odot$质量范围内的恒星，我们发现该质量函数的斜率为 x = 0.57$\pm$0.28。 我们的分析表明该星团已达到动力学平衡。 此外，我们首次利用TESS数据在星团区域内识别出三颗新变星。 这些变星属于缓慢脉动B型变星，周期分别为 46.70、47.92 和 37.56 小时。