Limits on cluster binaries

Statistics – Computation

Scientific paper

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Binary Stars, Color-Magnitude Diagram, Globular Clusters, Main Sequence Stars, Astronomical Models, Astronomical Photometry, Computational Astrophysics

Scientific paper

An unresolved binary system will be systematically brighter and redder than the primary component alone. These systems may measurably widen the main sequence in the color-magnitude diagram. The width of the main sequence in NGC 6341 (M92) and NGC 7099 (M30) from published high-quality photometry is used to derive limits on the fraction of unresolved binary systems in these cluster fields. A 'second sequence' is expected for quite general assumptions about the binary population. Then, developing a maximum likelihood technique for using all the high-quality data in a color-magnitude plane, results for the two clusters are analyzed, limits on the binary fraction of about 9 percent and about 4 percent, respectively are derived. In M92 in particular, there is a well-determined fraction, about 8 percent of binary candidate objects. Photometric indices that most of these are due to crowding, but a small component consists of true binaries.

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