Hill's stability in the elliptic restricted three-body model including body shape

It is shown that the inclusion of the J₂-term of the planet and its orbital eccentricity may alter the stability character of a satellite in the sense of Hill. The effect depends on the initial conditions. With the actual initial conditions, the satellite S9 is Hill stable whether or not these terms are considered, but if S9 were located at a distance of 330 Saturn radii, then it would be unstable or stable according as these terms are considered or not.