Global properties of energy-truncated spheroidal stellar systems.

Computer Science

Scientific paper

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Stellar Systems: Stability, Stellar Systems: Numerical Simulations, Stellar Systems: Angular Momentum

Scientific paper

A family of self-consistent two-integral (energy and angular momentum along the symmetry axis) models for spheroidal stellar systems has been constructed, with differential rotation and anisotropy. The dependence on the angular momentum is the same as in the Wilson model and the energy dependence is the same as in the well-known King models. The authors' main interest is to study them as sequences of models showing many features observed both in galaxies and in globular clusters. In particular, they compute some global quantities (the potential energy, the cut-off energy, the adimensional mass) and examine the relationships among them. These can be useful for the understanding of their structure, with special emphasis on the connection between the dynamics and the flattening of the configurations. The structural stability of these models can be inferred comparing the relations among the global quantities with those obtained in the spherical models. Moreover, the study of the total energy in relation with the structural parameters, suitably constrained, gives information about their secular stability.

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