TRAJECTORY EQUATIONS FOR A SIX-DEGREE-OF-FREEDOM MISSILE

Abstract

Two sets of six-degree-of freedom equations of motion for a symmetric missile are derived explicitly. One set is based upon a coordinate system that is rigidly attached to the missile (body-fixed system), while in the second set (fixed-plane system) a coordinate system with one axis constrained to lie in a given plane is employed to derive the equations of motion. Both sets of equations assume the earth to be spherical, include the effect of the earth's rotation, and consider variable wind. In addition, for the body-fixed system, discussion of initial conditions and singularities of the differential equations is presented.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0615569

Entities

People

  • Bruce Barnett

Organizations

  • Picatinny Arsenal

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Altitude
  • Angular Momentum
  • Center Of Gravity
  • Computational Science
  • Coordinate Systems
  • Equations Of Motion
  • Euler Angles
  • Gravity
  • Grids
  • Latitude
  • Longitude
  • Momentum
  • Orientation (Direction)
  • Rockets
  • Rotation
  • Trajectories
  • Wind Velocity

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.