Geometrical Characteristics of Noses and Tails for Parallel Middle Bodies

Abstract

Two-parameter geometric systems are developed for noses and tails attached to parallel middle bodies in terms of independent polynomials. A new parameter is introduced--the rate of change of curvature with arc length at the juncture with the parallel middle body. Quadratic polynomials are considered for bodies of revolution and square root polynomials for symmetric two- dimensional bodies. Permissible ranges of the two adjustable parameters are obtained for selected geometrical constraints such as the presence of inflection points.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1972
Accession Number
AD0755176

Entities

People

  • Paul S. Granville

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Bodies
  • Bodies Of Revolution
  • Boundaries
  • Coefficients
  • Coordinate Systems
  • Curvature
  • Diameters
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Revolutions
  • Shape
  • Simultaneous Equations
  • Square Roots
  • Test And Evaluation
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Approximation Theory.
  • Fluid Dynamics.