The study of the equations of the dynamic motion of aircraft and space vehicles is addressed. As a previous step, the static stability and control of the airplane is studied, in straight flight and maneuver. Subsequently, the dynamic equations of motion are analyzed: linearizing them, obtaining the derivatives of longitudinal and lateral-directional stability, the modes of the airplane, and the stability and control in open and closed loop. Finally, an introduction is made to the attitude dynamics of space vehicles, their equations and applied to orientation control maneuvers.