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arxiv: astro-ph/9911208 · v1 · pith:QEST7B7Ynew · submitted 1999-11-11 · 🌌 astro-ph

Limber equation for luminosity dependent correlations

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keywords spatialclusteringangularlengthaveragecasecorrelationcorrelations
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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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