flightgear-mirage2000
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Pitch up moment sometimes
I'm looking at this, its due to the G control being "surprised" by the sudden change in actual G due to rolling with the high roll rate of this plane. I think I can fix it by leading the G in the proper direction.
If you are talking of the pitch up tendancy when leveling after a turn, this is most certainly due to the lag filter applied to the pilot pitch command.
The filter output won't be at 0 just after the turn, even if the stick is neutral (and the tighter the turn the higher the filter output will be).