Mass-to-light estimates for three round galaxies using Schwarzschild's method

Statistics – Computation

Scientific paper

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Astronomical Models, Galactic Structure, Mass To Light Ratios, Schwarzschild Metric, Astronomical Photometry, Computational Astrophysics, Constraints, Mass Distribution, Star Distribution, Velocity Distribution

Scientific paper

The linear programming method developed by Schwarzschild to construct models of galaxies has been applied to three (apparently) very round galaxies, NGC 4374, NGC 4472, and NGC 4636. Forcing the models to match (within errors) the observed velocity dispersions constrains the mass-to-light ratios of these galaxies. Under the assumption of constant M/L, the mean M/L(B) of these-galaxies is 13 (H(o) = 50 km/s/Mpc). Also constructed were models of these galaxies with massive halos (the total mass distribution has a flat rotation curve in one set of models). These models match the observed dispersions as well as the constant M/L models, but they have a characteristic M/L of 20 inside one effective radius.

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