Well, I thought I had this problem solved by keeping Reverse Sign of Angle checked. But last night the problem reappeared, and it went away when I UNCHECKED Reverse Sign of Angle. Just like before, the first target I imaged (which didn't require the rotator to run) worked without trouble, but when the rig switched to the second target (which required a 45 degree rotation as well as a meridian flip) the guide star began moving in circles around the set point rather than getting pulled back in. As soon as I unchecked Reverse Sign of Angle, everything worked fine.
The one thing that I noticed last night was that when NINA started up, the Reverse setting in NINA's rotator settings was OFF rather than ON, which is where it needs to be platesolving to succeed. This setting for some reason often "unsets' itself, and I have to reset it, which I did last night, as soon as it started up. But PHD2 doesn't have any interaction with the reverse setting in NINA, does it?
Any idea how to troubleshoot this now? I don't understand how sometimes Reverse Sign of Angle needs to checked, and other times it needs to be unchecked. Â