On the Lie Symmetries of KeplerErmakov Systems
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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.
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Kepler-Ermakov systems, Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems, Two-body problems, FOS: Physical sciences, Other PDE from mechanics, Lie-point symmetries, Mathematical Physics (math-ph), Mathematical Physics
Kepler-Ermakov systems, Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems, Two-body problems, FOS: Physical sciences, Other PDE from mechanics, Lie-point symmetries, Mathematical Physics (math-ph), Mathematical Physics
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