D-brane dynamics near compactified NS5-branes

We examine the dynamics of a Dp-brane in the background of k coincident, parallel NS5-branes which have had one of their common transverse directions compactified. We find that for small energy, bound orbits can exist at sufficiently large distances compared to the compactification radius. The orbits are dependent upon the energy density, angular momentum and electric field. The analysis breaks down at radial distances comparable with the compactification radius and we must resort to using a modified form of the harmonic function in this region.