superlunary

Though the final arbiter of such things will be left in the capable hands if the International Astronomical Union, researchers have already hit upon a perfectly acceptable and sensible term for a natural satellite with its own sub-satellite: a moonmoon.
Despite the lack of such an arrangement present in our solar system, scientists have recently confirmed the existence of exomoons and believe that arrangements where smaller moons orbit larger one could indeed occur. The proposed term is also reviving a very silly meme in circulation last year about how the combination of one’s initials yielded an unfortunately derpy spirit animal name.