FUNDAMENTAL ANALYSIS OF VARIOUS DYNAMIC STABILITY PROBLEMS FOR MISSILES
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1961
- Accession Number
- AD0259127
Entities
People
- E.v. Laitone
- T.j. Coakley
- W.l. Maas
Organizations
- University of California, Berkeley