Accession Number : AD0683766

Title :   A STUDY OF SIX-DEGREE-OF-FREEDOM REENTRY DYNAMICS IN TERMS OF COUPLED HARMONIC OSCILLATOR THEORY USING QUASI-STATIC SOLUTIONS OF THE EQUATIONS OF MOTION.

Descriptive Note : Technical rept.,

Corporate Author : AIR FORCE MISSILE DEVELOPMENT CENTER HOLLOMAN AFB N MEX

Personal Author(s) : Dupee,Norman E. , III

Report Date : DEC 1968

Pagination or Media Count : 46

Abstract : The non-linear equations of motion of an axi-asymmetric ballistic reentry vehicle are simplified using analog computer results and solved analytically under the assumption that the atmospheric density is locally a constant (quasi-static assumption). The solutions are analyzed using the framework of coupled harmonic oscillator theory with the assumption that the rolling moment of inertia is negligible compared to the transverse moments of inertia. The motion of the reentry vehicle is shown to be composed of a gyroscopic (or mechanical) frequency and an aerodynamic frequency, and the interaction of these frequencies is discussed for damped and undamped hypothetical reentry trajectories. The solutions are restricted to altitudes where aerodynamic heating effects are negligible. (Author)

Descriptors :   (*REENTRY VEHICLES, *DESCENT TRAJECTORIES), (*ATMOSPHERE ENTRY, MATHEMATICAL MODELS), GUIDED MISSILE TRAJECTORIES, EQUATIONS OF MOTION, OSCILLATION, MOMENTS, DYNAMICS, APPROXIMATION(MATHEMATICS)

Subject Categories : Guided Missile Traj, Accuracy and Ballistics

Distribution Statement : APPROVED FOR PUBLIC RELEASE