Two-component galaxy models with a central BH -- II. The ellipsoidal
  case
  Recently, two-component spherical galaxy models have been presented, where
the stellar profile is described by a Jaffe law, and the total density by
another Jaffe law, or by an $r^{-3}$ law at large radii. We extend these two
families to their ellipsoidal axisymmetric counterparts: the JJe and J3e
models. The total and stellar density distributions can have different
flattenings and scale lengths, and the dark matter halo is defined by
difference. First, the analytical conditions required to have a nowhere
negative dark matter halo density are derived. The Jeans equations for the
stellar component are then solved analytically, in the limit of small
flattenings, also in presence of a central BH. The azimuthal velocity
dispersion anisotropy is described by the Satoh $k$-decomposition. Finally, we
present the analytical formulae for velocity fields near the center and at
large radii, together with the various terms entering the Virial Theorem. The
JJe and J3e models can be useful in a number of theoretical applications, e.g.
to explore the role of the various parameters (flattening, relative scale
lengths, mass ratios, rotational support) in determining the behavior of the
stellar kinematical fields before performing more time-expensive integrations
with specific galaxy models, to test codes of stellar dynamics, and in
numerical simulations of gas flows in galaxies.
