Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...394..592m&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 394, no. 2, Aug. 1, 1992, p. 592-598. Research supported by USIBSF.
Astronomy and Astrophysics
Astrophysics
39
Binary Stars, Mass Ratios, Stellar Mass, Algorithms, Digital Simulation, Stellar Models
Scientific paper
A new algorithm is presented to derive the true mass-ratio distribution of an observed sample of spectroscopic binaries. The algorithm includes an iterative procedure in which each binary of unknown inclination is replaced by an ensemble of virtual systems with a distribution of inclinations. This work shows that contrary to a widely held assumption, the inclination angles of each virtual ensemble should not be distributed randomly in space. A way to account for the observational selection effect associated with the inability to detect single-line spectroscopic binaries with low-amplitude radial-velocity modulation is suggested. Several numerical simulations which demonstrate the advantage of the new algorithm compared with the classical method to determine binary mass-ratio distribution are presented.
Goldberg Dorit
Mazeh Tsevi
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