Sensitivity Coefficient of Exterior Ballistics with Velocity Square Damping

Abstract

The principal equation of exterior ballistics has a drag term which, in this case, is proportional to the square of the velocity in the tangential direction of the projectile. The sensitivity coefficient is expressed as the ratio of the initial elevation angle deviation to the initial percentage velocity deviation. The work in this paper is to find analytically the sensitivity coefficient of the exterior ballistics with velocity square damping which comes from the nonlinear air resistance for a projectile. This principal equation is integrated analyticaly in obtaining the solution for tangential velocity in terms of the elevation angle, together with all the necessary initial conditions. The horizontal range and the vertical range are also expressed as integrals of certain function of the elevation angles.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA078921

Entities

People

  • C. N. Shen

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

DTIC Thesaurus Topics

  • Air Resistance
  • Ballistics
  • Classification
  • Computational Science
  • Differential Equations
  • Dynamics
  • Elevation
  • Equations
  • Exterior Ballistics
  • Impact Point
  • Interior Ballistics
  • Military Research
  • Molecular Dynamics
  • Security
  • Trajectories
  • Variational Equations
  • Weapons

Readers

  • Plasma Physics / Magnetohydrodynamics
  • ballistics.