linguistic:paraphrasing
Centrifugal and Coriolis terms

The term r φ ˙ 2 {\displaystyle r{\dot {\varphi }}^{2}} is sometimes referred to as the centripetal acceleration, and the term 2 r ˙ φ ˙ {\displaystyle 2{\dot {r}}{\dot {\varphi }}} as the Coriolis acceleration. For example, see Shankar.

Note: these terms, that appear when acceleration is expressed in polar coordinates, are a mathematical consequence of differentiation; they appear whenever polar coordinates are used. In planar particle dynamics these accelerations appear when setting up Newton's second law of motion in a rotating frame of reference. Here these extra terms are often called fictitious forces; fictitious because they are simply a result of a change in coordinate frame. That does not mean they do not exist, rather they exist only in the rotating frame.