SOSL
Centripetal force is that required to keep an object moving in a circle, in an
Inertial Reference Frame,i.e. seen from outside the aircraft. It acts towards the centre of the circle, and is usually generated by a component of lift (Bona mates can VIFF too).
Centrifugal force is that experienced by the crew, who are accelerating and thus in a
non-inertial reference frame. Newton's Laws do not work directly in non-inertial reference frames (Einstein's do). This force acts outwards.
Or, in a thousand words....