TRAJECTORY EQUATIONS FOR A SIX-DEGREE-OF-FREEDOM MISSILE USING A FIXED-PLANE COORDINATE SYSTEM

Abstract

This report derives from elementary principles the general equations of motion for a missile utilizing a fixed-plane coordinate system, i.e., a coordinate system with one axis constrained to lie in a given plane. Included in the derivation are explicit expressions for introducing wind and an alternate set of equations to be used when singularity conditions are approached. Means are provided for automatically converting to the alternate set of equations so that uninterrupted trajectory simulation can proceed under all conditions. A complete discussion of initial conditions is included. The general equations can be used for flat or spherical, rotating, or nonrotating earth cases.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0634267

Entities

People

  • B. Barnett

Organizations

  • Picatinny Arsenal

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Masses
  • Altitude
  • Angular Momentum
  • Computer Programs
  • Coordinate Systems
  • Earth Models
  • Equations
  • Equations Of Motion
  • Euler Angles
  • Flight Simulations
  • Geometry
  • Longitude
  • Orientation (Direction)
  • Plastic Explosives
  • Sea Level
  • Trajectories

Readers

  • Approximation Theory.
  • Space Exploration and Orbital Mechanics.