On the lie symmetries of kepler–ermakov systems

Abstract

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. © 2002 Taylor & Francis Group, LLC.