International Journal of Astronomy and Astrophysics

Volume 7, Issue 4 (December 2017)

ISSN Print: 2161-4717   ISSN Online: 2161-4725

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Standard and Truncated Luminosity Functions for Stars in the Gaia Era

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DOI: 10.4236/ijaa.2017.74022    852 Downloads   1,794 Views  


The luminosity function (LF) for stars is here fitted by a Schechter function and by a Gamma probability density function. The dependence of the number of stars on the distance, both in the low and high luminosity regions, requires the inclusion of a lower and upper boundary in the Schechter and Gamma LFs. Three astrophysical applications for stars are provided: deduction of the parameters at low distances, behavior of the average absolute magnitude with distance, and the location of the photometric maximum as a function of the selected flux. The use of the truncated LFs allows modeling the Malmquist bias.

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Zaninetti, L. (2017) Standard and Truncated Luminosity Functions for Stars in the Gaia Era. International Journal of Astronomy and Astrophysics, 7, 255-272. doi: 10.4236/ijaa.2017.74022.

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