M/L and velocity anisotropy from observations of spherical galaxies, or must M87 have a massive black hole

Astronomy and Astrophysics – Astronomy

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Astronomical Models, Black Holes (Astronomy), Galaxies, Mass To Light Ratios, Algorithms, Anisotropy, Astronomical Photometry, Astronomical Spectroscopy, Radial Velocity

Scientific paper

An algorithm is developed determining whether a given set of photometric and spectroscopic observations of a spherical galaxy are consistent with the mass-to-light ratio in the galaxy being constant. If a model of this type is possible, the value of the mass-to-light ratio and the values of the two independent components of velocity dispersion at each radius are determined. Tests of the algorithm demonstrate its accuracy and consistency when applied to pseudo-data generated from a variety of theoretical models. In those cases where the data must be extrapolated arbitrarily because they do not extend to very great radii, qualitatively correct results are obtained. The algorithm is used on M87. The deconvolution technique of Lucy (1974) is used in order to correct the photometry of Young et al. (1978) for the effects of seeing and a point light source. Velocity dispersion profiles consistent with the observations of Sargent et al. (1978) and Dressler (1980) combine with the photometry to yield physically plausible models having constant mass-to-light ratio.

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