IDEAS OF THE INVARIANCE THEORY AND INERTIAL NAVIGATION,

Abstract

The article reviews the basic concepts of the theory of invariance as pertains to automatic control systems, that is, systems in which perturbations impinging on the system are automatically compensated for. The basic ideas are illustrated using the case of a pendulum, both neglecting and considering the curvature of the Earth. This example is then applied to the problem of inertial navigation of a satellite. The object in the figure is assumed to be traveling along a great circle of the Earth. From the point of view of the theory of invariance, the compensating force is shown to be M(t). Various applications of the solution of the gyroscopic control problem to orbiting objects are then presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 18, 1967
Accession Number
AD0659316

Entities

People

  • A. Yu. Ishlinskii

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Automatic
  • Control Systems
  • Curvature
  • Geometry
  • Guidance
  • Inertial Navigation
  • Invariance
  • Mathematics
  • Navigation
  • Pendulums
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Inertial Navigation Systems.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Space Objects
  • Space - Spacecraft Maneuvers