VEHICLE-FIXED COMPONENT INERTIAL GUIDANCE SYSTEM STUDY,

Abstract

The general structure of a vehicle-fixed component inertial navigation system is outlined. The portion of the computation problem pertaining to the computation of direction cosines relating two rotating coordinate frames is discussed, and the differential equations satisfied by the direction cosines is derived. A brief description is given of the principal problems encountered in the vehicle-fixed operation of components. Three algorithms for the computation of direction cosines in the single-axis case are derived. The direction cosine differential equation is solved by expansion in series and three-axis algorithms defined specialization of the correct solution. The noncommutativity problem is discussed and a method suggested for reducing errors resulting from noncommutativity. The algorithms applicable to single-axis motion are specified and combined with simple assumptions on vehicle motion, to yield sets of difference equations. The difference equations are solved and the errors in the direction cosines plotted against functions proportional to time. The requirements of special-purpose computers designed to implement the three-axis algorithms are outlined and the general organization, and the parameters, of several computers, is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1964
Accession Number
AD0617528

Entities

People

  • Charles Broxmeyer
  • Howard Wishner

Organizations

  • RTX

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Difference Equations
  • Differential Equations
  • Equations
  • Guidance
  • Inertial Navigation
  • Inertial Navigation Systems
  • Navigation
  • Navigational Equipment
  • World Geodetic System

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Inertial Navigation Systems.
  • Systems Analysis and Design