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This is also what my research had led me to believe, and why I had also used some of Bud's post in my initial post. If it's incorrect, can someone explain how the craft can determine magnetic deviation since it requires the compass to know where true north is?The tracker doesn't change with location. Certainly, if a tracker is added then a calibration should be done.
I'm assuming that regional effects such as a nearby mountain range loaded with iron could cause the declination to change. Within the confines of the compass dance the field isn't distorted because the scale of the regional effects are so much larger than the compass dance. It's just that the field is coming from the wrong direction. But this regional declination can't be determined from the compass dance for the same reason that the global declination can't be determined from the compass dance. To detect and compensate for any declination during a compass dance it would be necessary to place the AC in a true north heading and then tell it that it's heading is true north. Since this isn't part of the dance declination can not be determined from a compass calibration.
It's debatable if the geomagnetic inclination is used to correct IMU data. I would suppose the opposite is true. But, nevertheless, the same type of argument apples here. I.e. the craft would have to be placed in a known orientation while the magnetometer data is taken. This also is not part of the compass dance. At this point I always refer to an experiment I did where the P3 was calibrated upside down; first step inverted, second step nose up. Flew fine - didn't fly off to China upside down.
The only purpose of a calibration that consists of a P3-like compass dance is to detect and then compensate for the distortions caused by the AC itself; also called the hard iron effects. Detecting and compensating for regional effects just isn't possible with compass dance.
PS. I'm greatly enjoying this polite discussion.