A comprehensive approach is introduced using parametric equations to describe the motion induced by type J and cross-axis type coil planet centrifuges. The plots of a line parallel to the coil axis are given. The centrifugal forces are then analyzed in two ways. Three-dimensional graphs show their geometry and the relative intensity of the lateral component is compared to that of the perpendicular component. This allowed a better understanding of the differences in paths and acceleration fields induced by the two types of counter-current chromatography devices.