An Approximate Solution for the Spinup Dynamics of Near Axisymmetric Axial Gyrostats Using the Method of Multiple Scales

Author

Stewart J. Kowall

Date of Award

12-1993

Document Type

Thesis

Degree Name

Master of Science in Astronautical Engineering

Department

Department of Aeronautics and Astronautics

First Advisor

Christopher D. Hall, PhD

Abstract

Approximate solutions for the spinup of a near axisymmetric gyrostat are derived using the straightforward expansion method and the method of multiple scales. Two method of multiple scale solutions are presented. The first is derived using cartesian coordinates while the second is derived using cylindrical coordinates. The multiple scales solutions are compared to numerically integrated results for oblate and prolate configurations. A comparison for flat spin recovery is also accomplished. Excellent results are obtained for oblate configurations. Trajectory separatrix crossings hindered the results for prolate configurations and flat spin recoveries.

AFIT Designator

AFIT-GA-ENY-93D-5

DTIC Accession Number

ADA273723

Comments

The author's Vita page is omitted.

Recommended Citation

Kowall, Stewart J., "An Approximate Solution for the Spinup Dynamics of Near Axisymmetric Axial Gyrostats Using the Method of Multiple Scales" (1993). Theses and Dissertations. 6604.
https://scholar.afit.edu/etd/6604