  In this work, we study the Lie-point symmetries of Kepler--Ermakov systems
presented by C. Athorne in J. Phys. A24 (1991), L1385--L1389. We determine the
forms of arbitrary function H(x,y) in order to find the members of this class
possessing the sl(2,R) symmetry and a Lagrangian. We show that these systems
are usual Ermakov systems with the frequency function depending on the
dynamical variables.
