Statistics – Computation
Scientific paper
Oct 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...380..315s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 380, Oct. 20, 1991, p. 315-319.
Statistics
Computation
19
Computational Astrophysics, Distribution Functions, Galactic Clusters, Gravitational Effects, Galactic Evolution, Many Body Problem, Spatial Distribution
Scientific paper
The way in which the observed spatial distribution function of galaxy number counts depends on the size of the cells which are used to measure it is analyzed. Areas of cells are between 0.25 and 25 deg squared. Over these scales, corresponding to about 1-10 Mpc in the Zwicky catalog, the distribution functions fit the form predicted by quasi-equilibrium gravitational clustering. Values of b, the ratio of gravitational correlation energy to the kinetic energy of peculiar velocities, vary with scale in the manner expected from the form of the two-point correlation function. The results are also consistent with the scale dependence found in gravitational N-body simulations. How the spatial scaling depends on the magnitude cutoff of the sample is examined. The observations are consistent with random magnitude selection. They imply that on average a galaxy's magnitude does not depend strongly on the number of galaxies now around it. Both the spatial scaling and the magnitude scaling place new constraints on theories of galaxy formation and clustering.
Crane Philippe
Saslaw William C.
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