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FUNDAMENTAL ANALYSIS OF VARIOUS DYNAMIC STABILITY PROBLEMS FOR MISSILES

A theoretical analysis is made for special cases of the short period and the phugoid or long period oscillations of a non-rolling high speed missile that has a longitudinal plane of symmetry. The linearized equations of motion with time dependent coefficients are derived for short period oscillation...

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Bibliographic Details
Main Authors: COAKLEY,T J, LAITONE,E V, MAAS,W L
Format: Report
Language:English
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Summary:A theoretical analysis is made for special cases of the short period and the phugoid or long period oscillations of a non-rolling high speed missile that has a longitudinal plane of symmetry. The linearized equations of motion with time dependent coefficients are derived for short period oscillations of a hypersonic ballistic missile during rapid acceleration or deceleration. It is also shown that the effect of accelerated motion is strikingly different on either the w, q or alpha oscillations. An explicit relation is derived that shows that the atmospheric density gradient will produce a large decrease in the period of the phugoid oscillation, and that this effect increases with the velocity until near orbital speeds are approached. A new parameter is found which predicts the altitude at which the aerodynamic oscillations of a re-entry missile will will effectively begin. This new parameter allows the development of a universal curve which can be used for predicting the high altitude oscillations of hypersonic re-entry ballistic missiles for the linear pitching moment case. (Author)