The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque. Issue 2 (2017)

• Record Type: Journal Article
• Authors: Akulenko, L.D.; Zinkevich, YA.S.; Kozachenko, T.A.; Leshchenko, D.D.
• Is Part Of: Journal of applied mathematics and mechanics. Volume 81:Issue 2(2017)
• Page Start: 79
• Page End: 84
• Publication Date: 2017
• Subjects: Mechanics, Analytic -- Periodicals; Mechanics, Applied -- Periodicals; Applied mathematics -- Periodicals; Mécanique analytique -- Périodiques; Mécanique appliquée -- Périodiques; 531.01515
• DOI: 10.1016/j.jappmathmech.2017.08.001
• Languages: English
• ISSNs: 0021-8928

Abstract

Abstract: Perturbed rotational motions of a rigid body, close to the Lagrange case, under the action of a torque that is slowly varying in time are investigated. Conditions for the possibility of averaging the equations of motion with respect to the nutation phase angle are presented and an averaged system of equations is obtained. An example, corresponding to the motion of a body in a medium with linear dissipation, is considered.