In this paper we calculate particle geodesics in the spacetime of a superma
ssive superconducting cosmic string (G mu >10(-3)). Numerical techniques ar
e used to compare the spacetime of a string supporting a fermionic supercur
rent with a string supporting a stationary spin-0 current condensate. In bo
th cases it is found that frame dragging leads to exotic behavior of geodes
ics, in which particles are trapped by the string spacetime, without the st
ring violating the dominant energy condition. In the case of a string with
a fermionic current it is also found that thr string core is completely iso
lated from nonrelativistic particles in the "outside" universe.