Dynamical modeling of elliptical galaxies. I - Analytical prolate models. II - Numerical prolate models

Computer Science – Numerical Analysis

Scientific paper

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Astronomical Models, Dynamic Models, Elliptical Galaxies, Galactic Structure, Prolateness, Self Consistent Fields, Stellar Motions, Angular Momentum, Distribution Functions, Equations Of Motion, Galactic Rotation, Integral Equations, Isophotes, Numerical Analysis, Radial Velocity

Scientific paper

Self-consistent models are set up for prolate elliptical galaxies. Using just two integrals of motion, the energy and the angular momentum about the axis of symmetry, analytical solutions are derived. It is noted that in projection they resemble the spindle-shaped galaxies NGC 3115 and 7332. The flattening of these systems results from a suppression of the angular momentum about the long axis. The models are shown to have a logarithmic singularity in the central surface brightness and to exhibit a strong peak in the central velocity dispersion, thus furnishing another example of the effect of anisotropic velocity dispersion on the observed properties of the central regions of galaxies. The analytical solutions set forth are then generalized using the self-consistent field methods. The new models still show a sharp rise in the velocity dispersion at the center. It is noted that this feature derives from the strongly anisotropic velocity dispersions rather than from the existence of a supermassive object.

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