Hyperbolic monopole motion is studied for well separated monopoles. It is
shown that the motion of a hyperbolic monopole in the presence of one or more
fixed monopoles is equivalent to geodesic motion on a particular submanifold of
the full moduli space. The metric on this submanifold is found to be a
generalisation of the multi-centre Taub-NUT metric introduced by LeBrun. The
one centre case is analysed in detail as a special case of a class of systems
admitting a conserved Runge-Lenz vector. The two centre problem is also
considered. An integrable classical string motion is exhibited.Comment: 39 pages, 7 figures, references added, minor changes to section