The orbital structure of triaxial models with weak central density cusps, ∝ r−, < 1, is investigated. The stability of the x- (long-) axis orbit – and hence the existence of box orbits – depends sensitively on; the range of model shapes for which the x-axis orbit is stable becomes progressively smaller as 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. (Refer to PDF file for exact formulas).
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School of Physics and Astronomy (COS)
Fridman, Tema and Merritt, David, "Periodic orbits in triaxial galaxies with weak cusps" (1997). Astronomical Journal, vol. 114 (no. 4), p. 1479. Accessed from
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