Standard and Truncated Luminosity Functions for stars in the Gaia Era
Astrophysics of Galaxies
2017-12-22 v1 Solar and Stellar Astrophysics
Abstract
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 to model the Malmquist bias.
Keywords
Cite
@article{arxiv.1712.07937,
title = {Standard and Truncated Luminosity Functions for stars in the Gaia Era},
author = {Lorenzo Zaninetti},
journal= {arXiv preprint arXiv:1712.07937},
year = {2017}
}
Comments
16 pages 17 Figures