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For refcode 1994A&A...287L..13M:
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1994A&A...287L..13M Letter to the Editor Observational support for the Gurzadyan-Kocharyan relation in clusters of galaxies Pierluigi Monaco Scuola Internazionale Superiore di Studi Avansati (SISSA), via Beirut 4,I-34014 Trieste, Italy Dipartimento di Astronomia, Universiti degli stud di Trieste, via Tiepolo 11, I-34131 Trieste, Italy email: monaco@tsmi 19.sissa.it 38028::monaco Received 27 January 1994/ Accepted 10 May 1994 Abstract. We show that observational data for four Abell clusters of galaxies support the Gurzadyan-Kocharyan relation between the Hausdorff dimension and the dynamical properties of a galaxy system. The Hausdorff dimension is calculated using the two-point correlation function, while the dynamical parameters are estimated using available data and reasonable assumptions on the mass function of galaxies. This result can have essential consequences in the understanding of the dynamical mechanisms that determine the fractal distribution of galaxies. Key words: galaxies - clustering - cosmology: miscellaneous
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