Forest Fire Clustering: A Novel Tool for Identifying Star Members of Clusters

<p>In Tables 4 and 5, the&nbsp;<strong>Cluster</strong> column represents the name of the cluster.&nbsp;</p> <p><strong>Table 4</strong>: The columns <strong>ra</strong>, <strong>dec</strong>, <strong>pmra</strong>, <strong>pmdec</strong>, and <strong>parallax</strong> correspond to the median values for the cluster's position, parallax, and proper motions, respectively. The <strong>[Fe/H]</strong> and <strong>[Fe/H]_err</strong> columns indicate the cluster's [Fe/H] and its associated error. The&nbsp;<strong>logt</strong> and <strong>log_t_err</strong> columns represent the logarithmic age and its error, while the <strong>m-M</strong> and <strong>m-M_err</strong> columns denote the distance modulus and its error. Additionally, the <strong>E(BP-RP)</strong> and <strong>E(BP-RP)_err</strong> columns specify the cluster's reddening and its error, and the <strong>A_V</strong> and <strong>A_V_err</strong> columns represent the extinction and its error.</p> <p><strong>Table 5</strong>: The <strong>rc_pc</strong> and <strong>e_rc_pc</strong> columns indicate the core radius and its error, while the <strong>rt_pc</strong> and <strong>e_rt_pc</strong> columns represent the tidal radius and its error. The&nbsp;<strong>rh_pc</strong> column provides the radius containing half of the total number of stars in the cluster, and the <strong>rhm_pc</strong> column gives the half-mass radius. The <strong>R_J</strong> and <strong>R_J_err</strong> columns represent the Jacobi radius and its error. The <strong>mass</strong> and <strong>mass_err</strong> columns show the total mass of the cluster and its error, and the <strong>fb</strong> column denotes the binary fraction of the cluster. Finally, the <strong>trlx</strong> and <strong>trlx_err</strong> columns represent the relaxation time and its error. The units of<strong> trlx</strong> and <strong>trlx_err</strong> are Myr</p> <p>Note: NULL values for <strong>rc_pc, e_rc_pc, rt_pc, </strong>and <strong>e_rt_pc </strong>indicate the inapplicability of the RDP method. For <strong>Bootes I, NGC 104, NGC 3201, NGC 6121, NGC 6544, </strong>and <strong>NGC 6656</strong>, the parameters listed as &ldquo;N/A&rdquo;&mdash;including <strong>rhm, rJ, rJ_err, mass, mass_err, fb, trlx_Myr,</strong> and<strong> trlx_err</strong>&mdash;cannot be determined using our methods due to their faint magnitudes. This limitation arises because Gaia&rsquo;s observational capacity extends only to 21 mag.</p> <p>&nbsp;</p>