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We have constructed realistic, self-consistent models of triaxial ellipticalgalaxies embedded in triaxial dark matter halos. Self-consistent solutions bymeans of the standard orbital superposition technique introduced bySchwarzschild were found in each of the three cases studied. Chaotic orbitswere found to be important in all of the models, and their presence was shownto imply a possible slow evolution of the shapes of the halos. The equilibriumvelocity distribution is reproduced by a Lorentzian function better than by aGaussian. Our results demonstrate for the first time that triaxial dark matterhalos can co-exist with triaxial galaxies.

Self-consistent models of triaxial cuspy galaxies with dark matter halos