Numerical simulations of the R exp 1/4 law

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Computerized Simulation, Density Distribution, Milky Way Galaxy, Potential Fields, Stellar Evolution, Elliptical Galaxies, Galactic Clusters, Galactic Evolution, Galactic Rotation, Monte Carlo Method

Scientific paper

The evolution of a system of points in a given potential is simulated. With a density distribution proportional to r exp (-n), and a logarithmic potential, a stationary state following the r exp 1/4 law of de Vaucouleurs (1977) is obtained. If this simulation is followed to the Galaxy and to M31, it is found that n = -4 for the Galaxy and n = -3 for M31.

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