Abstract
We consider, a problem of determining the position of the conjugate points of a combined trajectory, ensuring the conditions of tangency, continuity, and equality of the radius of curvature. When the arcs of a circular and elliptical trajectory are conjugated at the junction where, there is a common tangent, a jump in the centrifugal force occurs due to the inequality of the radii of curvature, which will lead to a shock / 1-2 /.