https://www.theguardian.com/science/2016/nov/29/cassini-spacecraft-to-begin-swansong-orbit-of-saturn
What a great mission this has been.
I was surprised to read this quote: "we are going to try and work out how long a day on Saturn is – it is a bit embarrassing, but we still don’t know"
This explains all, however. Basically, and unsurprisingly, the various latitudes and the core all rotate at different rates.
The Wiki article refers to "metallic hydrogen" surrounding a nickel-iron core - which sounds counterintuitive but it appears that metallic hydrogen isn't quite what I thought it was at first.
I cannot wait to see what the ring skim shows.