Vi. Kuznetsov et al., MEMBERSHIP STUDY IN MULTIDIMENSIONAL DATA SPACE WITH AN APPLICATION TO THE OPEN CLUSTER NGC-6823, Astronomy and astrophysics, 278(1), 1993, pp. 43-50
A new approach to the membership problem based upon evaluation of prob
ability density functions in multidimensional space OMEGA is described
. Any set of data: proper motions, radial velocities, positions, photo
metry, spectra, etc. can be used for analysis. Space OMEGA is regarded
as consisting of two independent kinematic OMEGA' and astrophysical O
MEGA'' data subspaces. The optimal definition of axes of reference in
subspace OMEGA'' and a non-parametric method for density function eval
uation is discussed. A list of NGC 6823 physical members selected in t
erms of proper motions, positions, photometry and spectra have been co
mpiled. The use of all information available ensures the best possible
reliability of star identification.