International Journal of Astronomy and Astrophysics

Volume 7, Issue 4 (December 2017)

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

Google-based Impact Factor: 0.78  Citations  h5-index & Ranking

Standard and Truncated Luminosity Functions for Stars in the Gaia Era

HTML  XML Download Download as PDF (Size: 2199KB)  PP. 255-272  
DOI: 10.4236/ijaa.2017.74022    852 Downloads   1,794 Views  
Author(s)

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 modeling the Malmquist bias.

Share and Cite:

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.

Cited by

No relevant information.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.