The cross-correlation of Abell clusters with the Lick galaxy counts

Details The cross-correlation of Abell clusters with the Lick galaxy counts The cross-correlation of Abell clusters with the Lick galaxy counts

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.231..635l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 231, April 1, 1988, p. 635-655. Research supported by t

Statistics

Computation

78

Cross Correlation, Dark Matter, Galactic Clusters, Galactic Evolution, Hubble Constant, Red Shift, Computational Astrophysics, Normal Density Functions, Perturbation Theory, Statistical Analysis, Stellar Luminosity

Scientific paper

The authors present an analysis of the cross-correlations between Abell clusters and the 10×10 arcmin Lick galaxy counts. The main new features of this analysis are as follows: (1) the authors correct for gradients in the Lick counts that depend only on galactic latitude; (2) they check the effects of applying a filter to the Lick counts to remove (likely artificial) gradients on scales >20°; (3) redshifts for Abell clusters are used to compute a cross-correlation function wcg(σ), where σ ≡ vθ/H0 is the projected separation between a cluster with recession speed v and a galaxy at angular distance θ from the cluster centre; (4) the amplitude of the spatial cross-correlation function ξcg(r) is estimated using modern determinations of the galaxy luminosity function. The authors compare their results with theoretical predictions of ξcg in the Ω = 1 biased cold dark matter (CDM) model. On scales 1 h-1 Mpc ⪉ r ⪉ 10 h-1Mpc, the theoretical predictions for ξcg are in surprisingly good agreement with the observational estimates. On smaller scales, the CDM model gives too high an amplitude whereas on larger scales the predicted amplitude is too low. The authors argue that neither of these discrepancies is particularly serious.

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