Calculating galactic space velocities and their uncertainties, with an application to the Ursa Major group

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Abstract

Formulas are presented for calculating a star's Galactic space-velocity components U, V, and W from its proper motion, parallax, and radial velocity. The authors also show how to calculate σ_U, σ_V, and σ_W from the uncertainties in the observational quantities. As an example, space velocities are calculated for solar-type stars in the Ursa Major Group, which are then compared to A stars in the nucleus of this cluster and to the broader "supercluster".

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