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Video of a guest lecture I gave at Harvard as part of the "Life as a Planetary Phenomenon" class (SPU30). In this lecture, I discuss the moons of the Solar System and beyond. I cover the properties of the moons in our solar system, evidence for their formation and origins, resonances and tidal heating in the Galilean satellites and the possibilities for life both in sub-surface moon oceans and on more Earth-like moons. The lecture closes with a discussion of how astronomers can search for exomoons using data from NASA's Kepler space telescope. As this class was for non-science majors, much of the science was simplified.