An analytic solution for stellar space densities

Details An analytic solution for stellar space densities An analytic solution for stellar space densities

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...118..229r&link_type=abstract

Astronomy and Astrophysics, vol. 118, no. 2, Feb. 1983, p. 229-233.

Astronomy and Astrophysics

Astrophysics

4

Space Density, Star Distribution, Statistical Analysis, Errors, Integral Equations, Milky Way Galaxy

Scientific paper

The fundamental integral equation of stellar statistics is solved analytically for the fictitious space density after a simple scaling of the star counts and the assumption of a Gaussian Specific Luminosity Function. The result is a finite series particularly suited for computer evaluation. The author finds this solution to be faster and much more flexible than the traditional (m, log π) table method. The author shows that the method can recover density distributions which vary rapidly. Application to a typical set of data is illustrated, and results compared with those of an (m, log π) analysis. A method of determining the approximate uncertainty in the run of the space density is briefly discussed.

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