Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...148....1a&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 148, no. 1, July 1985, p. 1-11.
Astronomy and Astrophysics
Astrophysics
5
Boltzmann Transport Equation, Density Wave Model, Galactic Evolution, Galactic Structure, Hydrodynamic Equations, Spiral Galaxies, Adiabatic Conditions, Galactic Rotation, Perturbation Theory, Polytropic Processes, Velocity Distribution
Scientific paper
The collisionless Boltzmann equation is used to derive hydrodynamical equations to describe a highly-flattened galaxy. Each latter hydrodynamic equation can be obtained by taking a moment of the Boltzmann equation. The closure problem can be resolved by neglecting higher order moments under the assumption of small-pressure. Here the author has neglected moments of higher than fourth order (or fifth degree). This assumption causes the polytropic exponent Γ equal to 2 for perturbation from an equilibrium state. This is interpreted as the adiabatic case of two-dimensional dynamics.
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