An Infinite Family of Self-consistent Models for Axisymmetric Flat Galaxies
| Autor: | Pedraza, Juan F., Ramos-Caro, Javier, Gonzalez, Guillermo A. |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Mon. Not. Roy. Astron. Soc. 390, 1587-1597 (2008) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1111/j.1365-2966.2008.13846.x |
| Popis: | We present the formulation of a new infinite family of self-consistent stellar models, designed to describe axisymmetric flat galaxies. The corresponding density-potential pair is obtained as a superposition of members belonging to the generalized Kalnajs family, by imposing the condition that the density can be expressed as a regular function of the gravitational potential, in order to derive analytically the corresponding equilibrium distribution functions (DF). The resulting models are characterized by a well-behaved surface density, as in the case of generalized Kalnajs discs. Then, we present a study of the kinematical behavior which reveals, in some particular cases, a very satisfactory behavior of the rotational curves (without the assumption of a dark matter halo). We also analyze the equatorial orbit's stability and Poincare surfaces of section are performed for the 3-dimensional orbits. Finally, we obtain the corresponding equilibrium DFs, using the approaches introduced by Kalnajs (Ap. J., 205, 751, 1976) and Dejonghe (Phys. Rep., 133 (3-4), 217, 1986). Comment: Submitted to MNRAS |
| Databáze: | arXiv |
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