On gravitating stellar systems I. formulation using distribution function method.

Details On gravitating stellar systems I. formulation using distribution function method. On gravitating stellar systems I. formulation using distribution function method.

Sep 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004basi...32..141p&link_type=abstract

Bulletin of the Astronomical Society of India, vol. 32, Issue 3, p.141

Astronomy and Astrophysics

Astronomy

Galaxies: Nuclei, Galaxies: Active

Scientific paper

An interesting work on self-gravitating gaseous disks has con- cerned the behaviour of the precursor of massive central dark object that might be the energy source existing at centers of galaxies and powering quasars. With this view, we present a model of self gravitating gas flattened in a disk. We make the following assumptions: (i) the interaction force between individual pairs of particles is negligibly small, (ii) the distribution function f in phase space satisfies collision-free Boltzmann equation and (iii) the system is conser- vative. We set up a third order linear differential equation satisfied by the disk for axisymmetric case. We obtain a particular solution for the disk in steady state. We derive the expression for gravitational potential W and surface mass density sigma of the disk. We also calculate the velocity profiles.

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