New light on faint stars. I - The luminosity function in the solar neighbourhood

Astronomy and Astrophysics – Astronomy

Scientific paper

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Electrophotometers, M Stars, Red Dwarf Stars, Stellar Luminosity, Stellar Motions, Stellar Parallax, Hertzsprung-Russell Diagram, Kinematics, Late Stars, Stellar Mass

Scientific paper

From photoelectric photometry of red dwarf stars identified in an objective prism survey, a magnitude-limited complete sample has been defined. Applying photometric parallaxes, calibrated for the Kron-Cousins system by observations of trigonometric parallax stars, this sample is used to determine the space densities of stars with absolute magnitudes between + 7 and + 12. The resultant luminosity function is consistent with the Luyten and Wielen functions for the solar neighbourhood. An analysis of the stellar kinematics shows little significant evidence of a substantial local population of low space motion M-dwarfs.

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