EFFECT OF VARYING AIR DENSITY ON THE NONLINEAR PITCHING AND YAWING MOTION OF A SYMMETRIC MISSILE

Abstract

Although the effect of an exponentially varying air density on the angular motion of a re-entering missile has been intensively studied for linear aerodynamic moments, this effect for nonlinear moments has only been investigated by a quasi-linear technique and this work was limited to planar motion. In this report, various modifications of the quasi-linear analysis for a cubic static moment are compared with the exact solutions and the best of these used to determine the general effect of varying density on combined pitching and yawing motion. Next the perturbation method which makes use of the exact solution for a cubic static moment is considered and the necessary modifications introduced by the varying density are made. The predicted density-gradient-induced damping for planar motion is determined for both theories and compared with the numerical integration of the exact differential equation. The perturbation prediction is found to be superior. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1962
Accession Number
AD0277353

Entities

People

  • Charles H. Murphy

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Angular Momentum
  • Angular Motion
  • Coordinate Systems
  • Differential Equations
  • Engineering
  • Equations
  • Flight Paths
  • Governments
  • Guided Missiles
  • Jet Propulsion
  • Mathematics
  • Munitions
  • New York
  • Perturbations
  • Physics Laboratories
  • Sea Level

Fields of Study

  • Mathematics
  • Physics

Readers

  • Control Systems Engineering.