  The orbital structure of triaxial models with weak central density cusps,
$\rho\propto r^{-\gamma}, gamma < 1$, is investigated. The stability of the
$x$- (long-) axis orbit -- and hence the existence of box orbits -- depends
sensitively on $\gamma$; the range of model shapes for which the $x$-axis orbit
is stable becomes progressively smaller as $\gamma$ approaches one. The banana
and fish boxlets in the $x-z$ (long axis-short axis) plane are stable over a
wide range of model parameters. The boxlets in the $x-y$ and $y-z$ planes are
generally vertically unstable.
