I read that he first claimed she got off on one of the islands off Denmark, then he went to the unspecified death that required burial at sea story, and is now still claiming innocence after the torso find.
What I don't get is if he scuttled the sub to throw off the authorities (I still don't know why he did that), why didn't he just say she drowned or something while they were abandoning ship? Obviously the corpse would negate that, but he apparently thought he did a good job getting rid of it.
I'm also wondering if he planned this murder or if it was a spur of the moment act of passion for not getting an offshore BJ or something. As bad as his alibis are, I'm going with this being a spur of the moment thing.