  The present work analyses the particle motion in the Van Stockum space-time
considering the existence of closed timelike curves. Test particles with or
without angular momentum are studied in the present geometry. It is found that
only non-zero angular momentum test particles exist in the neighborhood of
closed timelike curves. The minimum particle energy and the range of backward
time jump in closed timelike geodesics are studied within a Cauchy horizon.
Finally, a general prescription for CTC and CTG has been presented with
appropriate examples.
