Mathematics – Logic
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989scsmp..32.1105j&link_type=abstract
Science in China, Series A - Mathematics, Physics, Astronomy and Technological Sciences (ISSN 0253-5831), vol. 32, Sept. 1989, p
Mathematics
Logic
Galactic Clusters, Galactic Evolution, Galactic Structure, Statistical Analysis, Statistical Correlation, Astronomical Catalogs, Spatial Distribution, Universe
Scientific paper
The three-point spatial correlation functions are estimated for four subsamples of Abell clusters with richness, R, of at least one, as well as for the whole northern sample of R at least 2 Abell clusters. The preliminary results show that the three-point correlation functions of Abell clusters can be expressed by a scaling form, Q of the power law functions. For R at least one clusters, Q = 0.65 + or - 0.35, and for R at least two clusters, Q = 0.62 = or - 0.20. Compared with the statistical results obtained from three-point correlation functions of galaxies, the Q-values yielded here are very close to those of several red shift samples of galaxies. This means that from galaxies to R at least two Abell clusters, their Q remains a constant, although their three-point correlation functions span three magnitudes. This universal scaling form would be important for theories of galaxy formation.
Jing Yi-Peng
Zhang Jia-Lü
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