Mathematics – Probability
Scientific paper
Jul 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...429..767s&link_type=abstract
The Astrophysical Journal, vol. 429, no. 2, pt. 1, p. 767-771
Mathematics
Probability
20
Astronomical Models, Binary Stars, Cataclysmic Variables, Dwarf Novae, Globular Clusters, Charge Coupled Devices, Electromagnetic Wave Filters, Photometry, Spatial Resolution, Telescopes, Variability
Scientific paper
Globular clusters are reputed to contain many capture (and possibly primordial) binaries. Close white dwarf-main sequence binaries should be particularly plentiful. Such systems can give rise to dwarf nova eruptions, which are indisputable indicators of interacting, close binaries. We have therefore surveyed the rich Galactic globular cluster M92 (NGC 6341) for erupting dwarf novae. CCD images with limiting magntide approximately 21.5 on 10 of 13 consecutive nights yield zero erupting dwarf novae. Artificial dwarf novae inserted into the CCD frames allow us to assess our completeness of detection. We should have detected 50% of all erupting dwarf novae at 6 core radii from the cluster center and 90% of such events further out. The lack of detections limits the number of dwarf nova binaries in M92 with 6rc less than r less than 20rc to less than or equals 7 with 92% probability. Our upper limit of less than or equals 7 is the first observational quantitative limit on globular cataclysmics. A simple model (based on two-body tidal capture theory and binary evolution) is used to predict the number of cataclysmic binaries in M92. The globular should contain approximately 70 systems; roughly 11 should lie outside 6rc. Our observed upper limit suggests that an expanded observing program will soon detect or rule out large numbers of cataclysmics in globulars.
Bergeron Louis E.
Moffat Anthony F. J.
Shara Michael M.
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