On the Orbit Structure of the Logarithmic Potential

The consequences of replacing centrophilic box orbits with centrophobic boxlets in the scale-free logarithmic potential are examined. Particular attention is given to the possibility that exact triaxial self-consistent dynamical models do not exist for density figures corresponding to the logarithmic potential. It is suggested that the central cusp of the logarithmic potential destroys the box orbits at high energy and replaces them with boxlets which are too wide to reproduce the triaxial density figure of the model in a self-consistent manner.