  We consider the existence of simple closed geodesics or "geodesic knots" in
finite volume orientable hyperbolic 3-manifolds. Previous results show that at
least one geodesic knot always exists [Bull. London Math. Soc. 31(1) (1999)
81-86], and that certain arithmetic manifolds contain infinitely many geodesic
knots [J. Diff. Geom. 38 (1993) 545-558], [Experimental Mathematics 10(3)
(2001) 419-436]. In this paper we show that all cusped orientable finite volume
hyperbolic 3-manifolds contain infinitely many geodesic knots. Our proof is
constructive, and the infinite family of geodesic knots produced approach a
limiting infinite simple geodesic in the manifold.
