A periodic orbit of the geodesic flow on a hyperbolic surface can be seen as a knot in the unit tangent bundle to that surface. It is a classical result that if the orbit is filling, i.e. it intersects any essential closed curve on the surface, its complement is a hyperbolic 3-manifold. We will show that in fact a much more general result holds; A filling closed orbit of any Anosov flow with orientable foliations has a hyperbolic complement. Filling in this context would mean that the orbit intersects any essential torus. Joint with Sergio Fenley and Mario Shannon