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

In Tables 4 and 5, the Cluster column represents the name of the cluster. 

Table 4: The columns ra, dec, pmra, pmdec, and parallax correspond to the median values for the cluster's position, parallax, and proper motions, respectively. The [Fe/H] and [Fe/H]_err columns indicate the cluster's [Fe/H] and its associated error. The logt and log_t_err columns represent the logarithmic age and its error, while the m-M and m-M_err columns denote the distance modulus and its error. Additionally, the E(BP-RP) and E(BP-RP)_err columns specify the cluster's reddening and its error, and the A_V and A_V_err columns represent the extinction and its error.

Table 5: The rc_pc and e_rc_pc columns indicate the core radius and its error, while the rt_pc and e_rt_pc columns represent the tidal radius and its error. The rh_pc column provides the radius containing half of the total number of stars in the cluster, and the rhm_pc column gives the half-mass radius. The R_J and R_J_err columns represent the Jacobi radius and its error. The mass and mass_err columns show the total mass of the cluster and its error, and the fb column denotes the binary fraction of the cluster. Finally, the trlx and trlx_err columns represent the relaxation time and its error. The units of trlx and trlx_err are Myr

Note: NULL values for rc_pc, e_rc_pc, rt_pc, and e_rt_pc indicate the inapplicability of the RDP method. For Bootes I, NGC 104, NGC 3201, NGC 6121, NGC 6544, and NGC 6656, the parameters listed as “N/A”—including rhm, rJ, rJ_err, mass, mass_err, fb, trlx_Myr, and trlx_err—cannot be determined using our methods due to their faint magnitudes. This limitation arises because Gaia’s observational capacity extends only to 21 mag.

在表4与表5中，星团列（Cluster）代表对应星团的名称。

表4：其中列ra（right ascension，赤经）、dec（declination，赤纬）、pmra（proper motion in right ascension，赤经自行）、pmdec（proper motion in declination，赤纬自行）及视差（parallax）分别对应星团的位置、视差与自行的中位数。[Fe/H]及[Fe/H]_err列分别表示星团的金属丰度[Fe/H]及其对应误差。logt与log_t_err列代表对数年龄及其误差，m-M及m-M_err列则表示距离模数（distance modulus）及其误差。此外，E(BP-RP)与E(BP-RP)_err列指定了星团的红化值及其误差，A_V与A_V_err列代表消光值及其误差。

表5：rc_pc与e_rc_pc列分别表示核心半径及其误差，rt_pc与e_rt_pc列则代表潮汐半径及其误差。rh_pc列给出了包含星团总恒星数一半的半径，rhm_pc列则给出半质量半径。R_J与R_J_err列代表雅可比半径（Jacobi radius）及其误差。mass与mass_err列显示了星团的总质量及其误差，fb列表示星团的双星丰度。最后，trlx与trlx_err列代表弛豫时间及其误差，二者单位为百万年（Myr）。

注意：rc_pc、e_rc_pc、rt_pc及e_rt_pc的空值（NULL）表示RDP方法不适用。对于牧夫座I（Bootes I）、NGC 104、NGC 3201、NGC 6121、NGC 6544及NGC 6656，标注为"N/A"的参数——包括rhm、rJ、rJ_err、mass、mass_err、fb、trlx_Myr及trlx_err——由于其星等较暗，无法通过我们的方法确定。该限制源于盖亚卫星（Gaia）的观测能力仅能覆盖至21星等（mag）。