A Method of Constructing Polhodes of an Intermediate Motion in the Dynamics of a Rigid Body

Journal of Applied Mathematics and Mechanics, 1986

Posted: 12 Jul 2017

See all articles by Vladimir Kuryakov

Vladimir Kuryakov

Los Angeles International University

Date Written: January 9, 1986

Abstract

Asymptotic methods are used to construct the polhodes of an intermediate motion of a non-symmetric body about its centre of mass. The fundamental effects of this motion are governed by the action of the small external resistance of the medium, linear with respect to the angular velocity of rotation. Non-Eulerian motion is employed to construct the equations in osculating variables. A modification of the averaging procedure is proposed which makes it possible to obtain finite expressions for the polhodes of the intermediate motion. Results of the analysis of the intermediate motion and of the evolution of the polhodes of an Eulerian rotation of the body are given.

Keywords: Asymptotic methods, polhodes, intermediate motion of a non-metric body about its centre of mass, external resistance of the medium, linear with respect to the angular velocity of rotation, non-Eulerian motion, equations in osculating variables

Suggested Citation

Kuryakov, Vladimir, A Method of Constructing Polhodes of an Intermediate Motion in the Dynamics of a Rigid Body (January 9, 1986). Journal of Applied Mathematics and Mechanics, 1986, Available at SSRN: https://ssrn.com/abstract=2604507

Vladimir Kuryakov (Contact Author)

Los Angeles International University ( email )

16501 Ventura Blvd. Suite 400
Encino, 91436
United States
+1 (646) 593-77-80 (Phone)

HOME PAGE: http://www.laiu.us

Do you have negative results from your research you’d like to share?

Paper statistics

Abstract Views
83
PlumX Metrics