Limber equation for luminosity dependent correlations

Details Limber equation for luminosity dependent correlations Limber equation for luminosity dependent correlations

1999-11-11

arxiv.org/abs/astro-ph/9911208v1

Astronomy and Astrophysics

Astrophysics

10 pages, LaTeX, no figures, Accepted for publication in New Astronomy

Scientific paper

10.1016/S1384-1076(99)00046-9

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.

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