%0 Journal Article %T Periodic Orbits in Triaxial Galaxies with Weak Cusps %A Tema Fridman %A David Merritt %J Physics %D 1997 %I arXiv %R 10.1086/118578 %X 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. %U http://arxiv.org/abs/astro-ph/9705138v1