Computation Schemes for Sensitivity Coefficient of Exterior Ballistics with Velocity Square Damping.

Abstract

The principal equation of exterior ballistics with velocity square damping term has been integrated analytically in obtaining the solution for tangential velocity in terms of the elevation angle and other parameters. Using the variational method, four equations are obtained. The first one is derived from consideration of terrain slope and the second one is determined by hitting the target. The third and fourth equations are variations of the range and elevation drag functions, respectively. The computation involves integrals which can be evaluated analytically if the drag coefficient is relatively small. In simplifying the computational procedure we can assign the launch and impact slopes and then compute the drag functions and the terrain slope. However, this procedure is in reverse order because physically the terrain slope is known a priori the rounds are fired. If the terrain slopes and launch slopes are given first, an iteration procedure in computation is required to solve for the impact slopes. The sensitivity coefficients and the range ratios are then computed and plotted for various terrain slopes and launch slopes as the drag coefficients are varied.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA096196

Entities

People

  • C. N. Shen
  • Julian J. Wu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

DTIC Thesaurus Topics

  • Air Resistance
  • Artificial Intelligence
  • Ballistics
  • Coefficients
  • Differential Equations
  • Elevation
  • Equations
  • Exterior Ballistics
  • Impact Point
  • Interior Ballistics
  • Iterations
  • Muzzle Velocity
  • Numerical Analysis
  • Perturbations
  • Trajectories
  • Variational Equations
  • Weapons

Readers

  • Aerodynamics/Aeronautics.
  • Approximation Theory.
  • Calculus or Mathematical Analysis