  In this paper we derive the geodesic equation for massive particles and light
for the black spindle spacetime. The solution for light can be formulated in
terms of the Weierstra{\ss} {\wp}-, {\sigma}- and {\zeta}-function, whereas a
part of the solutions for massive particles is given in terms of derivatives of
the Kleinian {\sigma}-function. We analyze the possible orbit types using
parametric diagrams and effective potentials. Furthermore we visualize the
orbits in a coordinate system, where the spindle-like topology of the horizon
is visible.
