Periodic Orbits in Triaxial Galaxies with Weak Cusps

Abstract

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.

14 Latex pages, 12 Postscript figures, uses aastex, epsf.sty. Submitted to The Astronomical Journal, May 1997

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