Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978pazh....4...70o&link_type=abstract
(Pis'ma v Astronomicheskii Zhurnal, vol. 4, Feb. 1978, p. 70-74.) Soviet Astronomy Letters, vol. 4, Jan.-Feb. 1978, p. 36-38. Tr
Astronomy and Astrophysics
Astronomy
4
Astronomical Models, Galactic Evolution, Galactic Structure, Rotating Disks, Mathematical Models, Radial Velocity
Scientific paper
The problem of developing phase models of self-gravitating disks is examined using an approach whereby the phase density is determined for a specified mass distribution. An integral equation that makes it possible to obtain the velocity-symmetric part of the phase density of a gravitating disk from its surface density is analyzed, cases where this equation admits a unique solution are considered, and stable phase models are developed for Maclurin and Kuzmin-Toomre disks. The radial-velocity dispersions of these stable phase models are evaluated, and more complex models for the same disks are investigated. A method is outlined for determining the velocity-antisymmetric part of the phase density.
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