On the symmetry analysis of the micz problem on the cone

Abstract

In this paper we used reduction method of Arunaye [1] to obtain the symmetries of the McIntosh and Cisneros [2]; and Zwanziger [3] (MICZ) problem and present some exact symmetry transformations of the MICZ problem on the cone of motion. We note relationship between the symmetries of the Kepler problem and the MICZ problem, and we obtain a novel nonlocal scaling symmetry of the MICZ problem.