Limber equation for luminosity dependent correlations
Astrophysics
2016-08-30 v1
Abstract
The passage from angular to spatial correlations, in the case of spatial clustering length depending on the average distance between nearby objects is studied. We show that, in a number of cases, the scaling law of angular correlation amplitudes, which holds for constant spatial clustering length, is still true also for a luminosity dependent spatial correlation. If the Limber equation is then naively used to obtain `the' spatial clustering length from the angular function amplitude, a quantity close to the average object separation is obtained. The case of cluster clustering is explicitly considered.
Cite
@article{arxiv.astro-ph/9911208,
title = {Limber equation for luminosity dependent correlations},
author = {A. Gardini and S. A. Bonometto and A. Maccio`},
journal= {arXiv preprint arXiv:astro-ph/9911208},
year = {2016}
}
Comments
10 pages, LaTeX, no figures, Accepted for publication in New Astronomy