If one was to choose, for convenience, to treat a ~ ~ as "acceleration", then the terms ( m r θ θ ˙ ˙ ′ 2 r ^ ^ − − m 2 r ˙ ˙ θ θ ˙ ˙ ′ θ θ ^ ^ ) are added to the so-called "fictitious force", which are not "state-of-motion" fictitious forces, but are actually components of force that persist even when Ω=0, that is, the fictitious sources persist even in an inertial frame of reference. Because these extra terms are added, the "coordinate" fictitious force is not the same as the "state-of-motion" fictitious force. Because of these extra terms, the "coordinate" fictitious force is not zero even in an inertial frame of reference.