Some axisymmetric self-similar galaxy models

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Astronomical Models, Distribution Functions, Galactic Structure, Stellar Motions, Axisymmetric Bodies, Galactic Rotation, Velocity Distribution

Scientific paper

Distribution functions are presented for some axisymmetric self-similar galaxy models with flat rotation curves. In particular, we record velocity distribution functions for the logarithmic potentials studied by Richstone. These distribution functions depend on two integrals only. Other distribution functions (possibly involving more or other integrals) associated with the same mass model differ only by an additive function that integrates over velocities to yield zero density everywhere. However, a given distribution function can be associated with different mass models.

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