Interpretation of Fundamental Plane by using tensor virial theorem

Some of the main features of Fundamental Plane for elliptical galaxies are recovered as a consequence of Clausius' virial energy properties in a two-componentm system. Mechanical and thermodynamical considerations related to a stellar system embedded in a dark matter halo are taken into consideration, by modelling the two components with two different power-law density profiles and two homogeneous cores. The special configuration of the bright component, which minimizes its kinetic energy, becomes the key in order to understand some scaling relations.