On symmetries of generalized Kepler problem with drag in 2-D

Abstract

In this paper we considered generalized Kepler problem with drag in two dimensions in the analysis of Lie Symmetry of dynamical systems using reduction method. And we obtain its symmetries via reduction method, many of which are nonlocal type. We obtain the Laplace-Runge-Lenz vectors as well as the corresponding Ermanno-Bernoulli constants of this dynamical system. We also obtain the exact symmetry transformations of the dynamical system.