Modal Control of a Satellite in an Unstable Periodic Orbit About the Earth-Sun Interior Lagrange Point

Abstract

A periodic 'halo' orbit which exists about the interior Lagrange point for the Earth-sun system was decomposed using Floquet theory into modal variables, which are dynamically decoupled subspaces for the six degree of freedom system. Modal control consisted of evaluating the diverging mode and maneuvering to counteract its divergence. In the unperturbed system, this was successful. Control costs were low, and the significance is that the controller did nothing to suppress modes that were oscillatory or converging. The effect of the moon's motion allowed the scheme to operate with reasonable control costs, but the effect of eccentricity caused divergence in spite of the controller. Floquet theory, Modal control, Periodic orbits, ISEE - 3, Halo orbits.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1993
Accession Number
ADA273707

Entities

People

  • Douglas J. Hopper

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Algebra
  • Artificial Satellites
  • Circular Orbits
  • Computational Science
  • Differential Equations
  • Eccentricity
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of Motion
  • Frequency
  • Linear Systems
  • Mathematics
  • Mechanical Engineering
  • Orbits
  • Shape
  • Simulations

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers