Six Degrees of Freedom Equations of Motion and Trajectory Equations of A Rigid Fin Stabilized Missile With Variable Mass

The study of space mechanics thus far has been restricted to a two-dimensional analysis. For many problems however, it is necessary to use a three-dimensional analysis. Some of these problems are; the ballistic missile with guidance whose trajectory is constantly being changed to hit a target; for a space vehicle with guidance devices; for a manned vehicle reentry or orbit which is capable of being steered, for the longitudinal and lateral stability analysis of any space vehicle. Thus it becomes necessary to examine the case of missile motions and trajectories for six degrees of freedom which are general enough to cover all phases of missile motion, including the launch, exit from the atmosphere, space trajectory, reentry to the atmosphere and landing phase.