Kenney Donald E. A study of cannon-fired, rocket-assisted projectile trajectories

A thesis. The university of Arizona. 1964. - 56 p.The equations of motion in a vacuum for cannon-fired# rocket-assisted projectiles were derived in this study using Newton’s second law of motion. These equations were integrated directly to obtain the parametric equations describing the trajectory of the projectile, Lagrange multipliers were used in determining the conditions which optimize the range of the projectile and the rocket motor ignition time. The parameters influencing an optimal trajectory plus the parametric equations describing the trajectory were programmed into a digital computer for the determination of range. The analysis, of these programs indicate it is profitable to employ rocket-boosted, cannon-fired projectiles to increase range.