Extending the Jump Analysis for Aerodynamic Asymmetry

Abstract

The linear theory for spinning projectiles was extended to account for aerodynamic asymmetry of a free-flight projectile with varying roll rate. Assuming roll is caused by differentially canted controls allowed the rolling motion to be governed by two parameters. Aerodynamic jump resulting from the asymmetry was studied as a function of these parameters and was found to be represented in closed form by using confluent hypergeometric functions. A simple rational approximation is given and compared, to the closed-form solution, over a pertinent range of the governing parameters. Inquiries regarding jump due to asymmetry are addressed and compared to previous results which are limited in their formulation since the closed-form solution was apparently unknown.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2004
Accession Number
ADA426056

Entities

People

  • Gene R. Cooper

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Characteristics
  • Aerodynamic Forces
  • Angular Motion
  • Asymmetry
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flight
  • Free Flight
  • Hypergeometric Functions
  • Linear Differential Equations
  • Mathematics
  • Military Research
  • Molecular Dynamics
  • Projectiles
  • Standards

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis