Abel models for triaxial systems

Details Abel models for triaxial systems Abel models for triaxial systems

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.252..606d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 252, Oct. 15, 1991, p. 606-636.

Astronomy and Astrophysics

Astronomy

19

Celestial Mechanics, Distribution Functions, Stellar Models, Stellar Systems, Numerical Integration, Physical Properties, Spherical Coordinates

Scientific paper

The general theory of equilibrium components of collisionless stellar systems in a Staeckel component, for which the relation between mass density and distribution function can be written as an Abel integral, is presented. These Abel-components are generalizations of the well-known spherical models by Eddington (1916) and Osipkov-Merrit (1979). Their most important properties include analytical simplicity, which is convenient, and the freedom of an arbitrary function in their definition, which makes it conceivable to combine them in order to model galaxies more realistically. It is shown that the Abel-components can be divided into three classes with different dynamical properties, and their orbital contents are discussed.

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