Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...333...78r&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 333, Oct. 1, 1988, p. 78-89.
Astronomy and Astrophysics
Astrophysics
43
Galactic Evolution, Galactic Rotation, Mass Distribution, Normal Density Functions, Angular Momentum, Galactic Clusters, Power Spectra
Scientific paper
The collapse of density peaks is investigated in Gaussian random density fields with power spectra P(k) proportional to k exp n, in the cases n = -2, -1, 0, and + 1. The density, velocity dispersion, and angular momentum are computed, taking into account density perturbations superposed on a spherical central peak. In the absence of dissipation, flat rotation curves require n roughly -1. If a fraction f roughly 0.1 of the mass dissipates its energy and falls toward the center of the mass distribution, then n roughly -2 leads to flat rotation curves. The dimensionless spin parameter Lambda is insensitive to the value of n; the spherical infall approximation yields Lambda roughly 0.09 for 3 sigma peaks.
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