The chief purpose of the present paper is to determine the optimum thrust-direction program for certain types of rockets, taking into account the fact that the Earth revolves around its axis. The solution of the problem of obtaining maximum energy is useful in artificial satellite problems, and in the problem of a rockets ejection from a circular orbit around a center of attraction, particularly around the Earth. In this case the initial speed is, of course, different from zero. In this work it is assumed that the contribution of aerodynamic forces air resistance is negligible, and that the gravitational field is plane-parallel and constant. The results obtained present a sufficient idea of how the thrust of certain missiles must be directed, keeping in mind the fact that the Earth is mobile, so as to obtain maximum range and maximum energy, and in the second place, how to calculate the value of this range and energy efficiently.