MICZ-Kepler: Dynamics on the cone over SO( n).

We show that the n-dimensional MICZ-Kepler system arises from symplectic reduction of the 'Kepler problem' on the cone over the rotation group SO( n). As a corollary we derive an elementary formula for the general solution of the MICZ-Kepler problem. The heart of the computation is the observation that the additional MICZ-Kepler potential, | ϕ|/ r, agrees with the rotational part of the cone's kinetic energy. [ABSTRACT FROM AUTHOR]