A new method for deriving space densities of stars

Details A new method for deriving space densities of stars A new method for deriving space densities of stars

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....86..321o&link_type=abstract

Astronomy and Astrophysics, vol. 86, no. 3, June 1980, p. 321-326.

Astronomy and Astrophysics

Astrophysics

3

Astrophysics, Galactic Structure, Space Density, Star Distribution, Statistical Analysis, Dwarf Stars, M Stars, Matrices (Mathematics), Orthogonal Functions

Scientific paper

A new matrix method for solving the fundamental equation of stellar statistics is proposed: distances and apparent magnitudes are split into a priori equiprobable intervals, and the division leads to an analysis of star counts and space densities on a set of eigenvectors; the space density is then estimated with different conditions of simplicity. This method provides very reliable results, even if the number of stars is small; the possibility of detecting a single local maximum is also discussed. Variation of the observation angle with apparent magnitude is proposed to remove the so-called 'cone effect'; this procedure gives reliable space densities over the whole distance range. As an application of the method, the sample of M dwarf stars from The and Staller (1974) is analyzed for space densities.

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