Analytic axisymmetric galaxy models with three integrals of motion

Details Analytic axisymmetric galaxy models with three integrals of motion Analytic axisymmetric galaxy models with three integrals of motion

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...333...90d&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 333, Oct. 1, 1988, p. 90-129.

Astronomy and Astrophysics

Astrophysics

85

Astronomical Models, Galactic Structure, Stellar Motions, Axisymmetric Flow, Cylindrical Coordinates

Scientific paper

The authors investigate a family of inhomogeneous axisymmetric mass models with a simple gravitational potential originally introduced by Kuzmin, and subsequently studied by Kuzmin and Kutuzov. Properties of the mass models are presented, for both the oblate and the prolate sequences. Their spherical limit is Hénon's isochrone. The potential of all these models is of Stäckel form, so that all orbits in them have an exact third integral of motion, which can be regarded as a generalization of the total angular momentum integral of the spherical limit. The authors present a new method for the analytical construction of distribution functions, and apply it to these mass models. This produces - for the first time - exact analytic distribution functions for realistic axisymmetric models that depend on all three integrals of motion.

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