When the moon shone full and bright [Caligula] invited the Moon-goddess to sexual intercourse in his bed; and during the day would indulge in whispered conversations with Capitoline Jupiter, pressing his ear to the god's mouth, and sometimes raising his voice in anger. Once he was overheard threatening the god: 'If you do not raise me up to Heaven I will cast you down to Hell.' Finally he announced that Jupiter had persuaded him to share his home ....
And who would argue with a god? If Jupiter wanted Caligula to come live with him, then Caligula should go live with him, right? After all, he was in the god's good graces, given that the deity was willing to listen to him on a daily basis and even put up with the little emperor's petulant demands.
No word on whether the Moon took him up on his offers, though.
Not sure if she was willing.