Analytic Solution of Euler’s Equations of Motion for an Asymmetric Rigid Body

[+] Author and Article Information
P. Tsiotras

Department of Mechanical, Aerospace, and Nuclear Engineering, University of Virginia, Charlottesville, VA 22903-2442

J. M. Longuski

School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907-1282

J. Appl. Mech 63(1), 149-155 (Mar 01, 1996) (7 pages) doi:10.1115/1.2787190 History: Received January 07, 1994; Revised February 15, 1995; Online October 26, 2007


The problem of the time evolution of the angular velocity of a spinning rigid body, subject to torques about three axes, is considered. An analytic solution is derived that remains valid when no symmetry assumption can be made. The solution is expressed as a first-order correction to a previous solution, which required a symmetry or near-symmetry assumption. Another advantage of the new solution (over the former) is that it remains valid for large initial conditions of the transverse angular velocities.

Copyright © 1996 by The American Society of Mechanical Engineers
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