Yes, I concur.<br /><br />There are dynamical reasons to not expect existing moons of satellites. (I have been trying to work out consistent nomenclature for all this stuff, with little succes) <br /><br />However, it may be possible for satellites to have formed with subsidiary bodies of their own. Let's 'play' with Dione a little bit. Upon completion of Dione's accretion from the proto nebula, we can expect Dione to have been rotating on it's axis rather faster than the current ~66 hours. It may have rotated in the 5 to 15 hour range. (over time, tidal effects from Saturn would have arrested this rapid rotation) Let's say Dione rotated in 8 hours. For moons around Dione below an altitude where they would have revolved about Dione in less than 8 hours, they would have experienced tidal effects from Dione that would have tended to lower their orbits. Obviously, this effect cannot continue for too long, as the moon will contact the surface and be lost. <br /><br />For satellites above the 8 hour orbital altitude, tidal effects from Dione will tend to accelerate the moon away from Dione. <br /><br />There is also an additional effect, from Saturn, that will tend to de-circularize the orbits of objects orbiting Dione. Keep in mind, if a moon around Dione has it's orbital eccentricity pumped up too much, it will either be lost to Dione, or it will contact the surface of Dione. <br /><br />We have three fairly effective mechanisms here tending to 'erase' moons of satellites. <br /><br /><br />Now for 'captured' objects in the outer reaches of a planets Hill sphere, satellites may be acccompanied by moons, but their formation history will be more in line of the parent population of the captured bodies, rather than the Saturn gestated satellites much closer in. <br /><br /><br />It is possible, perhaps, that objects 'spun off' long ago from Dione (and other satellites) are still around today, just waiting for us to recognize them as such. <br /> <div class="Discussion_UserSignature"> <p><font color="#ff0000"><strong>TPTB went to Dallas and all I got was Plucked !!</strong></font></p><p><font color="#339966"><strong>So many people, so few recipes !!</strong></font></p><p><font color="#0000ff"><strong>Let's clean up this stinkhole !!</strong></font> </p> </div>