Membership study in multidimensional data space with an application to the open cluster NGC 6823

Mathematics – Probability

Scientific paper

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Astrometry, Data Reduction, Open Clusters, Probability Density Functions, Stellar Spectrophotometry, Position (Location), Radial Velocity, Stellar Motions, Stellar Spectra

Scientific paper

A new approach to the membership problem based upon evaluation of probability density functions in multidimensional space Omega is described. Any set of data: proper motions, radial velocities, positions, photometry, spectra, etc. can be used for analysis. Space Omega is regarded as consisting of two independent kinematic Omega prime and astrophysical Omega double prime data subspaces. The optimal definition of axes of reference in subspace Omega double prime and a non-parametric method for density function evaluation is discussed. A list of NGC 6823 physical members selected in terms of proper motions, positions, photometry and spectra have been compiled. The use of all information available ensures the best possible reliabilty of star identification.

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