Inside the wooden base there are two things, you will find that there is array of electromagnets and a magnetic induction charger.
When lowering the moon onto the base, the outermost electromagnets serve to attract the base while the inner magnets create a repelling force. This is what holds the moon in place and causes it to hover a few centimeters above the base.
Now once within the range of the moon's base, the receiver is able to pick up power from the charger block via magnetic induction.