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Simple Three-Integral Scale-Free Galaxy Models | | N.W. Evans
; R.M. Häfner
; P.T. de Zeeuw
; | | Date: |
20 Nov 1996 | | Subject: | astro-ph | | Affiliation: | Oxford), R.M. Häfner (Oxford), P.T. de Zeeuw (Leiden | | Abstract: | The Jeans equations give the second moments or stresses required to support a stellar population against the gravity field. A general solution of the Jeans equations for arbitrary axisymmetric scale-free densities in flattened scale-free potentials is given. A two-parameter subset of the solution for the second moments for the self-consistent density of the power-law models, which have exactly spheroidal equipotentials, is examined in detail. In the spherical limit, the potential of these models reduces to that of the singular power-law spheres. We build the physical three-integral distribution functions that correspond to the flattened stellar components. Next, we attack the problem of finding distribution functions associated with the Jeans solutions in flattened scale-free potentials. The third or partial integral introduced by de Zeeuw, Evans and Schwarzschild for Binney’s model is generalised to thin and near-thin orbits moving in arbitrary axisymmetric scale-free potentials. The partial integral is a modification of the total angular momentum. For the self-consistent power-law models, we show how this enables the construction of simple three-integral distribution functions. The connexion between these approximate distribution functions and the Jeans solutions is discussed in some detail. | | Source: | arXiv, astro-ph/9611162 | | Services: | Forum | Review | PDF | Favorites | |
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