Mathematics – Probability
Scientific paper
Oct 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...397..362g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 397, no. 2, p. 362-380.
Mathematics
Probability
80
Binary Stars, Dark Matter, Galactic Structure, Gravitational Lenses, Point Sources, Light Curve, Stellar Color, Stellar Mass
Scientific paper
The microlensing signatures of massive compact halo objects (MACHOs) in the 10 exp -6 to 100 solar mass range may be lost if the source star is a member of a binary system. The effect of binary sources is studied here using the even geometry and resulting light curves to define several categories of binary microlensing events and calculating the probability of each category occurring. After averaging these probabilities over measured distributions of binary orbital periods and mass ratios, it is found that 10-20 percent of events on binary sources should be distinguishable from single-source microlensing events (for the LMC). The bulk of binary events should be achromatic and similar to single source light curves, but 2-5 percent should have truly unusual light curves and color shifts greater than 0.1 mag. The total microlensing rate is larger by 5-15 percent for binary sources and in deriving the MACHO mass from a binary light curve an error of a factor of two or more may be made if single source formulas are used.
Griest Kim
Hu Wayne
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