Perturbations on the orbits of companions of the satellites of Saturn

The effects of orbital resonances on satellites in tadpole or horseshoe orbits relative to Mimas, Enceladus, Tethys or Dione are examined. A tadpole companion of Enceladus would be the most highly perturbed, and although the perturbations would not cause instability they may prevent the initial formation of a satellite in such an orbit. Tadpole companions of Mimas would have a large forced eccentricity, which would probably prevent the simultaneous existence of horseshoe orbits. The effects of tidal forces are also examined, and are found to cause a small displacement of the L4 and L5 equilibrium points.