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Cusped Spherical Stellar Systems with Anisotropic Velocities | | Jin H. An
; N. Wyn Evans
; | | Date: |
6 Dec 2004 | | Subject: | astro-ph | | Affiliation: | Cambridge), N. Wyn Evans (Cambridge | | Abstract: | Spherical models with constant velocity anisotropy parameter (beta) have distribution functions depending on binding energy E and angular momentum L of the form f(E,L)=f_E(E)/L^(2 beta). An inversion for the unknown function f_E(E) is straightforward to derive and reduces to Eddington’s famous algorithm for isotropic models (beta=0). Importantly, if the anisotropy parameter of the model is a half-integer constant (i.e., beta = 1/2, -1/2, ...), then the distribution function can be found by differentiation alone, without the need for any integration! This gives us a very simple way of constructing radially or tangentially anisotropic distribution functions of spherical models. The method is applied to two new families of cusped spherical galaxies. The first is a generalization of the isochrone sphere, the second a generalization of the hypervirial models. There are representatives of each family that possess the important cosmological cusps, with the density rho behaving like 1/r or 1/r^1.5 at small radii. The superposition of two or more components of this form may permit very general anisotropy behavior to be modelled. | | Source: | arXiv, astro-ph/0501092 | | Services: | Forum | Review | PDF | Favorites | |
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