Hi Andy,
Forgive me for being slow, but I think I need help understanding your analysis.
Assuming:
1) a GEM
2) no offset between the camera and rotator
3) object in eastern sky
Then by definition, RawPA = ActualPA
(FYI, Bob uses the terms rotator PA = sky PA in the documentation.)
The direction the rotator must rotate when the ActualPA increases depends on how many mirrors your imaging system has. With an even number of mirrors, the rotator needs to rotate counterclockwise. With an odd number of mirrors, the rotator must rotate clockwise. Since most of us either have 0 mirrors (refractor) or 2 mirrors (SCT), the rotator must rotate counterclockwise to increase PA. (I think this is where your analysis might go astray - or I just don't understand it.) Therefore, for all objects in the eastern sky, for all PA's, ActualPA = RawPA. FYI, for a 2" Pyxis, this means you must check "reverse" in the rotator setup. I'm pretty sure Optec changes this in the 3" Pyxis, so "reverse" should be unchecked.
When the GEM flips, the OTA orientation changes by 180 degrees. So to keep the same ActualPA, the camera orientation, and thus the RawPA, must change by 180 degrees. Therefore, for all objects in the western sky, ActualPA = RawPA +/- 180.
Since this thread started because of guiding problems, perhaps I should ask whether you've got that sorted. If not, perhaps the above explanation with help you. Also, note that all guider calibrations need to be done with a star in the eastern sky, "pier flip" unchecked in MaxIm, and MaxIm telescope control disconnected (e.g. ACP manages the status of "pier flip", not MaxIm). If this is not done exactly this way, ACP will end up adjusting the camera guide angle by 180 degrees. The effect is that guiding works when using MaxIm standalone, but once ACP adjusts the camera guider angle during an automated run, guiding no longer works. (This is all caused by ACP's interpretation of the sense of "pier flip" and whether to adjust the camera guider angle by 180 or not. That's why you have to calibrated your guider exactly as I described above so that ACP can correctly managed the sense of "pier flip".)
FWIW.
Jim