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

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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1993
Accession Number
ADA273723

Entities

People

  • Stewart J. Kowall

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Angular Momentum
  • Cartesian Coordinates
  • Differential Equations
  • Dynamics
  • Equations Of Motion
  • Integrals
  • Jet Propulsion
  • Linear Systems
  • Mathematics
  • Moment Of Inertia
  • Orbits
  • Space Systems
  • Spacecraft
  • Spin Recovery
  • Total Angular Momentum
  • Trajectories

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Structural Dynamics.