Orbital planes of visual binary stars are randomly oriented - A statistical demonstration

Statistics – Computation

Scientific paper

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Binary Stars, Computational Astrophysics, Stellar Orbits, Radial Velocity, Statistical Distributions

Scientific paper

According to Gine's nonparametric test statistic, the axes to the orbits of 102 visual binary stars, for which the ambiguity of inclination can be resolved to + or - 180 degree, are randomly distributed at greater than 95 percent confidence. Their distribution is also random against the alternative of a Bingham distribution. Moreover, binaries for which the true ascending node can be determined are also randomly oriented according to Beran's test, and against the alternatives of a Bingham and a Fisher distribution. Random orientation of orbital planes has long been suspected; it is now placed on a rigorous statistical basis.

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