On the Stability of a Layered Inhomogeneous Elliptical Galaxy as a Dynamic System

In this paper, several new models of a layered inhomogeneous elliptical galaxy (EG) having the shape either a triaxial ellipsoid or an oblate or prolate spheroid and consisting of baryonic mass and dark matter with different laws of density distribution or profiles have been considered. Based on these models, some key dynamic parameters of the EG have been determined: gravitational (potential) energy and rotational kinetic energy, angular momentum distribution and specific angular momentum depending on density profiles. The equilibrium and stability (instability) of the EG as a dynamic system have been established according to known criteria. Critical values of parameters of the family of spheroids that determine the boundaries of stability (or instability) dynamic system based on the values of specific angular momentum depending on the density profiles have been found. The obtained results have been applied to sixty model EGs with parameters exactly matching those that actually exist and are presented in the form of tables and figures.