Extended stellar hydrodynamics for galactic discs. II

Astronomy and Astrophysics – Astronomy

Scientific paper

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Galactic Structure, Hydrodynamic Equations, Three Dimensional Models, Astronomical Models, Distribution Functions, Elliptical Galaxies, Hamilton-Jacobi Equation, Milky Way Galaxy, Velocity Distribution

Scientific paper

This study reexamines a higher-moment 3D model for axisymmetric three-integral disk galaxies and slightly modifies it to take proper account of the possibly nonellipsoidal character of the velocity distribution. General recurrence relations are found which relate certain successive even moments of arbitrary order, which are seen as generalizations of the original closure assumptions. It is suggested that the distribution function which underlies the model is a solution of the collisionless Boltzmann equation within the approximations of the model. It is argued that such a model is also appropriate for comparison with observations. A possible functional form for the distribution function corresponding to the model is discussed.

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