  With regard to homeoidally striated Jacobi ellipsoids, a unified theory of
systematically rotating and peculiar motions is developed, where both real and
imaginary rotation are considered. The effect of positive or negative residual
motion excess, is shown to be equivalent to an additional real or imaginary
rotation, respectively. Then it is realized that a homeoidally striated Jacobi
ellipsoid with assigned velocity distribution, always admits an adjoint
configuration i.e. a classical Jacobi ellipsoid of equal mass and axes. In
addition, further constraints are established on the amount of residual
velocity anisotropy along the principal axes, for triaxial configurations.
Special effort is devoted to investigating sequences of virial equilibrium
configurations in terms of normalized parameters, including the effects of both
density and velocity profile. In particular, it is shown that bifurcation
points from axisymmetric to triaxial configurations occur as in classical
Jacobi ellipsoids, contrary to earlier results. The reasons of the above
mentioned discrepancy are also explained. An interpretation of recent results
from numerical simulations on stability (Meza 2002), is provided in the light
of the model. A physical interpretation of the early Hubble sequence is shortly
reviewed and discussed from the standpoint of the model, according if
elliptical galaxies are considered as isolated systems or embedded within dark
matter haloes. In any case, a lower limit to the flattening of oblate-like
configurations is established. On the other hand, it is found no lower limit to
the elongation of prolate-like configurations, and observed lack of elliptical
galaxies more elongated than E7 needs a different physical interpretation, such
as the fully investigated bending instabilities.
