Date of Award

12-1990

Document Type

Thesis

Degree Name

Master of Science in Astronautical Engineering

Department

Department of Aeronautics and Astronautics

First Advisor

William Wiesel, PhD

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.

AFIT Designator

AFIT-GA-ENY-90D-13

DTIC Accession Number

ADA230463

Comments

The author's Vita page is omitted.

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