Statistics – Computation
Scientific paper
Oct 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.126..243t&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 126, no. 2, Oct. 1986, p. 243-253.
Statistics
Computation
11
Angular Momentum, Binary Stars, Computational Astrophysics, Mass Distribution, Mass Ratios, Visible Spectrum, Distribution Functions, Eclipsing Binary Stars, Kepler Laws
Scientific paper
The 847 systems contained in the Fourth Catalog of Orbits of Visual Binary Stars are examined to investigate the angular momentum (J) vs mass (M) relation for binary stars. In the calculations, the auxiliary parameter, R, which is independent of distance and is proportional to JM exp -5/3, is used, and R seems to be uncorrelated with M for most of the systems studied. The results suggest that J is proportional to M exp 5/3 as predicted by Kepler's third law. The distribution function for mass ratios of binary systems, f(q = M2/M1), is also given, and is shown to peak sharply toward q = 1.0. It is found that the sequence EB, SB, and VB is a sequence of decreasing average system mass and increasing average semimajor axis and J, suggesting the possibility of a formation mechanism for wide binaries that favors systems with equal components.
Trimble Virginia
Walker Don
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