In fact, in a sense "centrifugal force" doesn't exist. If you swing something heavy round on a string, it feels like it is pulling away from the centre, but this is just the "equal and opposite reaction" to the centripetal force of the string holding the object "in orbit". You can easily demonstrate this - if you swing something round like this, then let go of the string, in which direction does it go? Not "outwards" from where you were holding it!