This note considers a planar orbit in the absence of a spin connection in order to consider rigorously in the next note the effect of generalizing dynamics to fluid dynamics. It is shown that for a central force of any kind, there are no Coriolis accelerations in a planar orbit. This is a generalization of a method developed in earlier UFT papers. As an illustration, it is shown that a hyperbolic spiral orbit (17) produces Eqs. (19) and (20), showing that there is no force of attraction in such an orbit, and a purely centrifugal force throws the stars in a spiral galaxy outwards from the centre. All these results are changed by generalizing classical dynamics to fluid dynamics, and this will be the subject of the next note.