A general method for constructing spherical galaxy models

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Galactic Rotation, Galactic Structure, Dynamic Models, Mass To Light Ratios, Schwarzschild Metric, Spheres, Velocity Distribution

Scientific paper

The self-consistent dynamical models of spherically symmetric galaxies presently constructed by means of Schwarzschild's (1979) linear programming method have mass-to-light ratios that are independent of radius, and surface brightness profiles obeying de Vaucouleurs (1948) or King (1972) laws. Although some of these models have dispersion profiles which one would not expect to see in a real galaxy, it appears impossible to determine, in the absence of very restrictive ad hoc assumptions about the dispersion profile, the mass-to-light ratio on the basis of a dispersion measurement at a single radius. Accurate determination of the mass-to-light ratio value requires a measurement of the rms dispersion in a centered aperture that contains a large fraction of the total galaxy luminosity, or a series of dispersion measurements at well separated radii spread out across the galaxy.

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