The relevance of the work is due to the fact that combined rotational movements are widespread in technical systems and when designing it is important to represent the nature of the total movement. It was found that when rotating in opposite directions, the trajectory of the total motion is an ellipse. All the standard characteristics of the ellipse are determined in relation to the case under consideration. The inclination of the elliptical trajectory is set. Just as the result of the superposition of two unaccelerated movements is also unaccelerated, i.e. uniform and rectilinear movement, with rotations in one direction, the trajectory of the total movement is a circle. In circular motions with multiple speeds, the trajectory of the total motion is a snail. The practical aspect of the study is determined by the fact that the formulas obtained can be directly used in CAD when performing design work.