So far as I know the pigs aren't part of any actual multispecies pasture rotation for Joel. They work in converting woodlands into pasture, then in the spring they work in turning the cattle's barn bedding into
compost, then back to the woods. I *think* he simply uses Cattle > Chicken or Turkey > Cattle, but I could be wrong.
One animal rotation I do know for certain is Shepard's though [bear in mind this is intended for a Silvopasture with a productive overstory rather than bare fields], Cattle > Pig > Turkey > Sheep > Chicken > looong rest > Cattle.
It's a system I'm hoping to emulate myself. Though I'm also curious if anybody else has further detail on Salatin's system.