  A general expression for the momentum equation in the Smooth Particle
Hydrodynacis approximation is derived for an arbitrary kernel, and compared
with its spherical counterpart for various degrees of ellipsoidicity. For such
an ellsipsoidal kernel the contribution to the adiabatic acceleration from
different parts of the kernel is studied, and how the noise level in an
interaction varies with the shape of the kernel. The two body interaction
involving kernels with different shapes is also briefly discussed, as well as
the conservation problems in the sum over the two body interactions.
