Determining the minimum sum of the component masses for a binary with a known parallax from observations of a short arc of its apparent motion |
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Authors: | A. A. Kiselev O. V. Kiyaeva |
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Affiliation: | (1) Pulkovo Astronomical Observatory, Russian Academy of Sciences, Pulkovskoe sh. 65, St. Petersburg, 196140, Russia |
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Abstract: | An inequality that allows the minimum sum of the component masses for a binary, M0, to be determined was derived from simple geometric considerations. This quantity satisfies the observed orbital motion according to Newton's law with a known parallax. The M0 value can be calculated if the apparent-motion parameters for the components, including the curvature of the observed short orbital arc, were determined from observations. We estimated M0 for 14 Pulkovo program stars for which the apparent orbital arc covered with observations was no less than 10°. We compare M0 with the masses estimated from the mass-luminosity relation. A significant mass excess was found for the star ADS 10329. |
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Keywords: | visual binaries |
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