Nonlinear evolution of spherical stellar systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Computerized Simulation, Galactic Evolution, Nonlinear Systems, Stellar Systems, Systems Simulation, Distribution Functions, Galactic Clusters, Motion Stability, Rotating Spheres, Spiral Galaxies, Stellar Evolution, Trajectories

Scientific paper

A universal method is proposed for the computer simulation of collisionless model systems conforming to a specified distribution function. Calculations are made for various realizations of the model, and the method is applied to show that the growth of instabilities in a spherically symmetric system whose members have nearly radial trajectories, will develop a distinctly ellipsoidal deformation. The method can also be used to construct initial states for any integrable system or systems with equilibrium potentials that admit a complete separation of variables in the conventional sense.

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