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

Astronomy and Astrophysics – Astronomy

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Scientific paper

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 deg. We compare M_0 with the masses estimated from the mass-luminosity relation. A significant mass excess was found for the star ADS 10329.

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