Models of gravitating disks in a phase description

Astronomy and Astrophysics – Astronomy

Scientific paper

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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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