FUNCTIONAL EQUATIONS AND MAXIMUM RANGE
Abstract : The current interest in rockets and space travel has aroused a corresponding interest in the determination of maximum range, minimum time, and so on, for various types of trajectories. A variety of questions of this type have been treated by means of the theory of dynamic programming. Here it is shown how to use functional equations to determine the range, the maximum elevation, and similar quantities, as functions of initial position and velocities. (Author)