ABSTRACT
The appearance more than one and a half centuries ago of the theory of canonical equations, the Lagrange equations in generalized coordinates and the Hamiltonian equations in canonical coordinates should undoubtedly be considered among the higlights of celestial mechanics. The universality and the power of the canonical representation of equations of motion, unfortunately, do not always correspond to the efforts made for the solution of the equations. One of the most interesting results in stellar dynamics was obtained by successful application of canonical transformations. The considered examples, i.e. interplanetary flights with small traction, once more demonstrate the efficiency of the application of canonical systems, particularly of the Lagrange equations for the derivation of the exact equations of motion of a space apparatus. Interplanetary flights both to the outer and to the inner planets can be realized in the Keplerian trajectories.
