FREE FLIGHT MOTION OF SYMMETRIC MISSILES

Abstract

The linearized angular motion of a symmetric missile is developed in some detail with some consideration of the rolling motion, drag, aerodynamic jump and the effect of varying coefficients. The tricyclic motion of a missile with misaligned control surfaces is briefly considered. This linear theory is, then applied to the analysis of ballistic range data. Next, simple cubic nonlinearities in static moment and Magnus moment are treated by a quasi-linear analysis and these cubic coefficients obtained from ballistic range flight data. More generalized relations for arbitrary symmetric nonlinear terms are derived and their use in the construction of 'amplitude' planes indicated. These amplitude planes have proven to be quite useful for the prediction of missile flight performance. Finally, the influence of strongly nonlinear static moments is determined by a perturbation method which makes use of two quasi-constants of the motion -- total energy and angular momentum.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0442757

Entities

People

  • Charles H. Murphy

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Characteristics
  • Aerodynamic Forces
  • Aerodynamic Stability
  • Analog Computers
  • Boundary Layer
  • Computational Science
  • Crystal Structure
  • Differential Equations
  • Engineering
  • Engineers
  • Equations Of Motion
  • Flight Paths
  • Fluid Dynamics
  • Molecular Dynamics
  • Physics Laboratories
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Ballistic Missile Meteorology
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Marine Hydrodynamics