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

An inequality that allows the minimum sum of the component masses for a binary, M 0, 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 M 0 value can be calculated if the app...

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Bibliographic Details
Published in:Astronomy letters 2003-01, Vol.29 (1), p.37-40
Main Authors: Kiselev, A A, Kiyaeva, O V
Format: Article
Language:English
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Summary:An inequality that allows the minimum sum of the component masses for a binary, M 0, 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 M 0 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 M 0 for 14 Pulkovo program stars for which the apparent orbital arc covered with observations was no less than 10°. We compare M 0 with the masses estimated from the mass-luminosity relation. A significant mass excess was found for the star ADS 10329.
ISSN:1063-7737
1562-6873
DOI:10.1134/1.1537376