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For a detailed discussion of stellar orbits in galactic potentials, see Chapter 3 of "Galactic Dynamics" by James Binney and Scott Tremaine.

The orbit content of the singular logarithmic potential was explored in detail in the article
" On the orbit structure of the logarithmic potential"
by Miralda-Escude and Schwarzschild, ApJ, 339, 752 (1989).

Studies of the influence of central black holes on triaxial galaxies include
" Black holes and the shapes of galaxies"
by Norman, May, and van Albada, ApJ, 296, 20 (1985)

"Dynamical evolution of elliptical galaxies with central singularities"
by Merritt and Quinlan, ApJ, 498, 625 (1998)

"Chaos and the shapes of elliptical galaxies"
by Merritt, Science, 271, 337 (1996)