I think what matters is the position of the centre of lift in relation to the centre of mass.
If the lift is forward of the COM then it will drag the nose around and the aircraft will turn in a circle like path 2. If the lift is applied at the COM then there is no turning force and the aircraft will simply drift right as in path 1.
Lift going through the centre of mass is probably not an at all realistic assumption.
If the lift is forward of the COM then it will drag the nose around and the aircraft will turn in a circle like path 2. If the lift is applied at the COM then there is no turning force and the aircraft will simply drift right as in path 1.
Lift going through the centre of mass is probably not an at all realistic assumption.