Some properties of the phase-space density function in numerical dynamical models of open star clusters

Astronomy and Astrophysics – Astronomy

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Scientific paper

The paper investigates the instability of the phase-space density functions (PSDFs) for numerical dynamical models of open star clusters to small perturbations in the initial phase-space coordinates of the stars. At various distances from the cluster center, perturbations in the PSDF due to this instability grow with time t during a violent relaxation period tau_vI and remain constant at t > tau_vI. The constancy of the PSDF perturbation amplitudes at t > tau_vI may be due to the development of an "equilibrium" PSDF for the cluster models considered. At t > tau_vI, PSDF perturbations that grow at some stellar velocities v are compensated for by their disappearance at other velocities in each distance interval considered. The mean velocity-averaged amplitudes of the velocity-distribution perturbations at the cluster center are about twice those at the cluster periphery, and remain approximately constant in each of the distance intervals when t > tau_vI. The local relaxation time for the cluster model during violent relaxation is estimated. The evolution of the cluster PSDF is briefly discussed.

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