Nonlinear Analysis of a Spinning Symmetric Satellite in an Elliptical Orbit

Abstract

Controlled and uncontrolled equations of motion for a spinning symmetric satellite in an elliptical orbit are analysed using Floquet theory, Poincare maps, and continuation. The equations of motion for the uncontrolled system are derived via energy methods. A simple feedback controller design and one based on Floquet theory are presented. Parameters varied in the equations of motion include the spin about the symmetry axis of the satellite, the inertia ratio of the satellite, the eccentricity of the orbit, and the controller gains. Floquet analyses determine local stability and bifurcation points. Poincare maps exhibit some interesting and complex structure in the global phase space. Continuation using a bifurcation analysis computer code (AUTO) reveals a sequence of period doublings, which is verified via numerical integration, for the simple rate feedback controller. The onset of chaotic motion is detected for this sequence of period doublings. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1990
Accession Number
ADA230463

Entities

People

  • Michael Ulisse

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Angular Momentum
  • Closed Loop Systems
  • Computer Programs
  • Computers
  • Differential Equations
  • Dynamics
  • Elliptical Orbits
  • Equations
  • Equations Of Motion
  • Nonlinear Analysis
  • Numerical Integration
  • Orbits
  • Sequences
  • Symmetry
  • Three Dimensional
  • Trajectories
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.

Technology Areas

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