Elliptical galaxies with separable potentials

Problem with Separable Potentials

The low energy three nucleon problem with two particle separable potentials is solved. The formalism of Faddeev in recasting the three body equations into Fredholm form and subsequent angular momentum reductions are carried out. Upon searching for a bound state two poles of the amplitude are found. Upon further examination one of the poles is found to have a residue of the wrong sign. This diff...

Elliptical Galaxies

Modes of Elliptical Galaxies

Long lived modes of elliptical galaxies can existà la van Kampen. Specific systems may possess long lived oscillations which Landau damp on time scales longer than a Hubble time. Some physical processes such as a close encounter, tidal forces from a cluster or an orbiting satellite could preferentially excite a coherent mode. These may relate to the observed faint structure in elliptical galaxi...

Dynamics of elliptical galaxies.

Elliptical galaxies were once thought to be similar in their structure and dynamics to rotationally flattened bodies like stars. The discovery that elliptical galaxies rotate much more slowly than a fluid body with the same shape has led to a qualitative change in our understanding of the dynamics of these systems. It is now believed that elliptical galaxies are fully triaxial in shape. Self-co...

General solution of the Jeans equations for triaxial galaxies with separable potentials

The Jeans equations relate the second-order velocity moments to the density and potential of a stellar system. For general three-dimensional stellar systems, there are three equations and six independent moments. By assuming that the potential is triaxial and of separable Stäckel form, the mixed moments vanish in confocal ellipsoidal coordinates. Consequently, the three Jeans equations and thre...