Mathematics – Logic
Scientific paper
Jun 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...281..545e&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 281, June 15, 1984, p. 545-553. Research sponsored by the U.S. Department o
Mathematics
Logic
9
Galactic Clusters, Galactic Evolution, Mass Distribution, Poisson Density Functions, Approximation, Cosmology, Distribution Functions
Scientific paper
The formation of galaxies by the gravitational amplification of small Poisson irregularities is examined. The dynamics of 'isolated' fluctuations is calculated by approximating them by homogeneous spheroids. These results are used, together with the distribution function for protogalactic fluctuations that was derived previously to obtain the mass function of present-day lumps. It is found that the high density systems tend to be spherical and low density ones tend to be oblate and highly flattened. The Poisson representation of the early irregularities yields a good fit to the galaxy mass function if the 'seed' mass at recombination is of the order of 10 million solar masses. The required value of the seed mass is insensitive to the assumed cosmological model.
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