  (p,q)-strings are bound states of p F-strings and q D-strings and are
predicted to form at the end of brane inflation. As such these cosmic
superstrings should be detectable in the universe. In this paper we argue that
they can be detected by the way that massive and massless test particles move
in the space-time of these cosmic superstrings, in particular we study
solutions to the geodesic equation in the space-time of field theoretical
(p,q)-strings. The geodesics can be classified according to the test particle's
energy, angular momentum and momentum in the direction of the string axis. We
discuss how the change of the magnetic fluxes, the ratio between the symmetry
breaking scale and the Planck mass, the Higgs to gauge boson mass ratios and
the binding between the F- and D-strings, respectively, influence the motion of
the test particles. While massless test particles can only move on escape
orbits, a new feature as compared to the infinitely thin string limit is the
existence of bound orbits for massive test particles. In particular, we observe
that - in contrast to the space-time of a single Abelian-Higgs string - bound
orbits for massive test particles in (p,q)-string space-times are possible if
the Higgs boson mass is larger than the gauge boson mass. We also compute the
effect of the binding between the p- and the q-string on observables such as
the light deflection and the perihelion shift. While light deflection can also
be caused by other matter distributions, the possibility of a negative
perihelion shift seems to be a feature of finite width cosmic strings that
could lead to the unmistakable identification of such objects. In Melvin
space-times, which are asymptotically non-conical, massive test particles have
to move on bound orbits, while massless test particles can only escape to
infinity if their angular momentum vanishes.
