Void distribution in the ACO cluster catalogue

Mathematics – Probability

Scientific paper

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Astronomical Models, Galactic Clusters, Probability Distribution Functions, Spatial Distribution, Stellar Models

Scientific paper

The count probabilities in the new Abell catalog were measured for clusters of different distance and of different richness. Void distribution functions suggest that Abell clusters are distributed with scale invariance, and that this scaling is independent of richness. Comparing to the scaling model of Schaeffer, the results favor the model with a free parameter nu = 0.

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