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In order to explain the main features of the Fundamental Plane for pressure-supported, elliptical galaxies, we analysed the virialized state, at Clausius' virial minimum, of a bright component which is completely embedded inside a dark halo. It was assumed that the two subsystems are concentric and coaxial, similar, heterogeneous spheroids, with two different, power-law density distributions. The...
When a gravitational bound system of two components, one completely inside the other, is considered, and virial equilibrium holds, Clausius' virial generalization of each subcomponent, defined as that which balances twice the kinetic energy of the corresponding virial equation, does not, in general, match the total potential energy of the same subsystem. When the substructures are modeled as two concentric...
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