基于Gaia DR3数据的颜色-光度形态指数开集群年龄校准

星团是理解恒星演化的关键。它们的颜色-光度图显示了大约同时间、相同化学组成的对象的恒星演化效应。此外，确定它们的天体物理参数（年龄、距离、颜色偏移和金属丰度）以及它们的空间分布，提供了关于银河结构和演化的重要信息。 Using data from the \textit{Gaia} DR3 and 2MASS catalogues, we develop methodologies for characterizing open clusters. Precise membership lists, mean astrometric parameters and radii are obtained. Using photometric data from both data sources, we carried out new age calibrations that rely on morphological indices based on colour ($\Delta BR$) and magnitude ($\Delta G$) differences between the red clump and the turnoff for a sample of 34 open clusters with ages covering the interval $8.3 < \log[t({\rm yr})] < 9.9$. A set of age calibration functions based on \textit{Gaia} morphological age indices are determined for the first time. We demonstrate their accuracy, obtaining a mean residual of 0.06 dex in $\log[t(yr)]$. Our results also show that stellar evolution models tend to predict the difference $\Delta G$. However, they typically overestimate the difference $\Delta BR$ for objects younger than $\log[t({\rm yr})] = 8.8$.