SIX VARIABLE BALLISTIC MODEL FOR A ROCKET

Abstract

The equations of motion which describe the position in space, the pitch, yaw, and roll of an unguided rocket are developed. Some effects considered are those of gravity, thrust, spin rockets, canted fins, aerodynamic forces and moments, loss of mass, rotation of the earth, wind, variable speed of sound, and variable atmospheric pressure. The vector forces and moments are defined and resolved into suitable components from which the equations of motion are derived. The problem of numerical integration of these equations is discussed. How perturbation techniques can be used to increase the computation speed is shown. Applications of the resulting mathematical models including prediction of the impact point for real-time support of an actual firing are explained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1962
Accession Number
AD0276971

Entities

People

  • Everett L. Walter

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Barometric Pressure
  • Computations
  • Equations
  • Equations Of Motion
  • Impact Point
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Models
  • Numerical Integration
  • Perturbations
  • Rotation

Readers

  • Control Systems Engineering.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers