A Digital Computing Device for an Inertial Navigation System,

Abstract

The operation of a computer serving an inertial navigation system with stabilization in the horizontal plane requires the solution of a system of three nonlinear differential equations involving, as variables, the latitude and longitude of the moving object, and the angle which characterizes the position of the plane in the azimuth with respect to the geographical system of coordinates. Unfortunately, a computer designed to deal directly with these equations involves a number of technical difficulties leading to substantial errors. By introducing the Rodrigues-Hamilton parameters, the author reduces the computing function essentially to the solution of four linear differential equations equivalent to the original system. One apparent advantage of a computer so designed is that no shift to a second coordinate system is required in the case of navigation near the poles. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 28, 1970
Accession Number
AD0717058

Entities

People

  • M. E. Temchenko
  • V. O. Storozhenko

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computers
  • Computing Devices
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Grids
  • Inertial Navigation
  • Inertial Navigation Systems
  • Latitude
  • Linear Differential Equations
  • Longitude
  • Navigation
  • Nonlinear Differential Equations

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering