tokens: the models relax during 200 T cr (about a Hubble time); the final snapshot was again rotated using the moments of the inertia tensor of the 80 per cent most tightly bound particles. These last systems (one for each model) were evolved during an additional interval of 300 T cr in order to verify their stability. For each of the two models, the snapshot corresponding to 100 T cr of this last evolution was the one used to study and classify the respective orbital contents; we call them E2af and E5af, respectively, for brevity. Fig. 1 shows the kinematic and structural characteristics of the E2af model. In this figure, the abscisae q stands for the ellipsoidal radius where a , b and c are the semi axes of the model, computed following the method of Dubinski Carlberg ( 1991 ), as adapted by Holley-Bockelmann et al. ( 2001 ); Q , on the other hand, is the same as q but projected on to the coordinate planes. The abscisae M ( r )/ M is the mass interior to radius r in units of the total mass of the model. The upper-left panel shows the density profile of the model, computed using ellipsoidal shells with constant axial ratios taken at the half-mass radius. As can be seen, the rotation has not substantially affected the cusp of the model (γ = −1.023 ± 0.020, computed from the densities of the 10 000 innermost particles binned in 100 intervals of distance to the centre). The upper-right panel shows the axial ratios, computed in shells each containing 3 per cent of the particles, previously sorted by energy. The ratios of the semi axes of the shell containing 81 per cent of the mass in its interior are b / a = 0.939 and c / a = 0.791, in good agreement with the values that correspond to the 80 per cent most tightly bound bodies ( b / a = 0.925, c / a = 0.823, T = 0.447), i.e. the parameters used in our previous works. Comparing these values with those of the original E2a model, we can see that the b / a ratio has increased, whereas the c / a ratio and the triaxiality have decreased. The bottom panels show the kinematical profiles, in which , where i is a Cartesian direction x , y or z in the left-hand panel, and r (radial) or t (tangential) direction in the right-hand panel. The anisotropy parameter . Fig. 2 shows the same characteristics but for the E5af model. Again, the cusp is well preserved (γ = −0.956 ± 0.023). In this case, for the same shell as before, b / a = 0.916, c / a = 0.602, while for the 80 per cent most tightly bound particles, b / a = 0.896, c / a = 0.641 and T = 0.335, i.e. both axial ratios have increased and the triaxiality decreased with respect to the E5a model. It might seem odd that rotation has not made the model flatter, but it should be recalled that the process that led from the non-rotating to the rotating model implied considerable changes in structure of the former. For example, about 30 per cent of the original particles were eliminated because they increased their energies beyond the established limits, and the a semi
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