We consider the motion of coorbital satellites in the framework of the Restricted
Three-Body problem for u=6.5*10^(-9). We show a mechanism to generate horsehoe
periodic orbits and we compute some families of horseshoe periodic orbits when vary-
ing the Jacobian constant. We conclude that there exist stable horseshoe periodic
orbits which fit with the motion of Saturn coorbital satellites Janus and Epimetheus.