Mxsmanic wrote
How do autopilots make coordinated turns even when they cannot control
the rudder?

From Wikipedia, the free encyclopedia

An unwanted side-effect of aileron operation is adverse yaw — a yawing
moment in the opposite direction to the turn generated by the ailerons. In
other words, using the ailerons to roll an aircraft to the right would
produce a yawing motion to the left. It is caused by an increase in induced
drag due to the greater effective camber of the wing with a downward-
deflected aileron, and the opposite effect on the other wing. Modern
aileron systems have minimal adverse yaw, such that it is barely noticeable
in most turns. This may be accomplished by the use of differential
ailerons, which have been rigged such that the downgoing aileron deflects
less than the upward-moving one. Frise ailerons achieve the same effect by
protruding beneath the wing of an upward deflected aileron, increasing drag
on that side. Ailerons may also use a combination of these methods.

Bob Moore