ON THE DETERMINATION OF POTENTIAL FUNCTION

Szebehely's renowned equation given in 1974, allowing for potential de termination from a given orbit or family of orbits, is proved to be eq uivalent with an equation deduced in 1963 by Dramba. This basic equati on in the inverse problem of dynamics, for which the denomination of D ramba-Szebehely equation is proposed, is generalized for the motion in the n-dimensional Euclidean space. A method for the determination of the potential function from motion equations is extended to this space .