Mathematics – Logic
Scientific paper
Jan 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jetp...70....1k&link_type=abstract
Sov. Phys. - JETP, Vol. 70, No. 1, p. 1 - 9
Mathematics
Logic
6
Galaxy Mergers, Galaxies: Masses
Scientific paper
The authors consider an exactly solvable merging problem under mass and momentum conservation conditions in a statically homogeneous system of galaxies. Rather simple analytic expressions are obtained for the asymptotes for large masses, momenta, and times. These solutions are valid for a constant merging coefficient. If this coefficient is not constant, it is possible to formulate a self-similar combination of variables which describes the propagation of a stationary front towards larger masses. The distribution asymptotes obtained in this manner take in the simplest case the form of the Schechter functions used to describe the observation data, with parameters determined by the scales and by the action time of the "source" that simulates the initial galaxy distribution. The authors consider also the asymptote of the initial distribution, with account taken of the cosmological expansion. The possible connection between the mass and momentum distributions and the activity of galaxies is discussed briefly.
Kats Alexandre V.
Kontorovich Victor M.
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