Like you said, "after so many billions of years, that our earth/moon system would have cleared up a huge majority of the meandoring, random dust floating around". majority implies something is still left behind and even if it were just a few particles per millions of miles, those few particles if orbiting earth or moon would be natural satellites simply by definition. Because of this, technically, it is possible for the moon to have moons orbiting it depending on the definition of satellites by the IAU. I don't think there is a size limit for defining what is meant by satellite.<br /><br />What is not known with certainty by way of observation, is whether there actually is something that would in a general sense, be considered a moon orbiting a moon around a planet. I know of none in our system and exoplanet research is still in its infancy.<br /><br />And BTW, you've been a pretty good debator so I wouldn't say your usually wrong. <div class="Discussion_UserSignature"> <p><strong>My borrowed quote for the time being:</strong></p><p><em>There are three kinds of people in life. Those who make it happen, those who watch it happen...and those who do not know what happened.</em></p> </div>