so after all of these years.. the dynamics of an aircraft in a turn...wow...
this discussion should be coupled with the theory of lift discussion...
I will throw in another mf to the discussion. A turn is a rate of change. As the ac goes from level, to the bank required to make the desired turn, the rate of change is constantly changing, hence the definition of a spiral.
I have had to deal with this on a frequent basis designing RNP turns. As one notes, RNP procedure turns are a simple radius. If one looks at turn on final, the transition between level and full bank limited by the ac or criteria, is a spiral. One has to be very careful with that transition, hence the slip takes the ac out of containment.
In the days when lecturers were prone to administer a rap over the knuckles with a ruler to encourage learning, I seem to recall that mention of "centrifugal force" was a sure way to get one.
havent 'those days been a while!