By the way, is it possible to tell if the initial roll will be right or left?
For the situation mentioned above, with a right side slip angle. The yaw into the wind will result in the left wing travelling faster through the surrounding air giving a
right roll.
But if the aircraft has dihedral the right wing will get a higher AoA which will tend to give a left roll. Or if the aircraft has swept wings, the right wing will "see" more air giving more lift and a left roll.
So which effect is dominant or maybe it is type specific?
Please be indulgent, I am a bit newish and never learnt the principle behind dutch roll during the theory class
