An Analytic Ballistic Trajectory Model for Digital Fire Control.

Abstract

This report develops a technique to represent the supersonic portion of a ballistic projectile's trajectory in analytic form. Particular emphasis is placed on the first two seconds of the trajectory as this region is of most importance in air-to-air combat applications where accurate computation of the projectile's position is required. Equations of motion are developed by treating the projectile as a translating mass particle in a plane parallel to the direction of gravity. Drag is the dominant forcing term in the direction opposite to the initial motion and gravity is dominant normal to the initial motion. Ignoring further perturbative effects of gravity and air density, these equations are solved in closed form.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA006799

Entities

People

  • Joseph W. Widhalm

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Ballistic Trajectories
  • Computations
  • Equations
  • Equations Of Motion
  • Guided Missile Trajectories
  • Mathematics
  • Particles
  • Projectiles
  • Trajectories

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.
  • ballistics.

Technology Areas

  • Hypersonics