Statistics of binaries in the Pleiades cluster
Abstract
We present a statistical analysis of binaries in galactic clusters, based on photometric properties. Synthetic clusters are used to solve the deconvolution problem. If the colourmagnitude relation for single stars is given and if triple stars are treated as binaries, the distribution of systems in a colourmagnitude diagram (CMD) can be used to determine cluster properties. They include the maximum number of single stars N_{1max} which is compatible with the distribution of systems, a standard deviation sigma (describing the scatter of stars on the main sequence), a critical mass ratio q_c, and the mass ratio distribution in the case of N_1=N_{1max}. In the general case (N_1<= N_{1max}) the mass ratio distribution can be determined for q>q_c, and in favourable cases (if N_1 is sufficiently large) for all mass ratios. A first application concerns the
 Publication:

Astronomy and Astrophysics
 Pub Date:
 June 1999
 Bibcode:
 1999A&A...346...67K
 Keywords:

 METHODS: DATA ANALYSIS;
 METHODS: STATISTICAL;
 TECHNIQUES: PHOTOMETRIC;
 STARS: BINARIES: GENERAL;
 GALAXY: OPEN CLUSTERS AND ASSOCIATIONS: INDIVIDUAL: PLEIADES