The Fundamental Plane of elliptical galaxies and the virial theorem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

When an elliptical galaxy undergoes a transformation that satisfies two simple physical assumptions, virial equilibrium and retention of the functional form of the surface brightness and mass density profiles, the resulting observable properties of the galaxy lie in a very thin parallelepiped in the three-dimensional space defined by effective radius, effective surface brightness, and central velocity dispersion, even for large changes in the global mass-to-light ratio (M/L). Additionally, for a fixed M/L, they are quite narrowly constrained in the face of the parallelepiped. The angle between this plane and the observed Fundamental Plane of elliptical galaxies is less than 15^deg^, implying that most of any predicted change is projected along the Fundamental Plane, regardless of the specific details of the interaction responsible for the change. Tidal interactions are examined as a simple application.

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