A statistical study of the correlation-richness dependence of Abell clusters.

Details A statistical study of the correlation-richness dependence of Abell clusters. A statistical study of the correlation-richness dependence of Abell clusters.

Jan 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989acaps...9....1j&link_type=abstract

Acta Astrophys. Sin., Vol. 9, No. 1, p. 1 - 24

Astronomy and Astrophysics

Astrophysics

Clusters Of Galaxies: Correlation Analysis, Clusters Of Galaxies: Cosmology

Scientific paper

The author estimates the two-point spatial correlation functions for Abell clusters with distance class D ≤ 4 and richness R ≥ 0, and for those with R ≥ 3. He finds that the correlation functions of Abell clusters with R ≥ 0, R = 0 and R ≥ 3 can be represented by 175 r-1.8, 150 r-1.8 and 1900 r-1.8, respectively. Combining previous statistical results of the correlation function of Abell clusters with R ≥ 1 and R ≥ 2, the author obtains a relation α ∝ N1.6 between the correlation amplitude α and the richness N of the clusters. Within the statistical uncertainties of the correlation amplitudes, the α-N relation can be explained well in the cosmic string model.

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