|
Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2005, Volume 1, Number 2, Pages 209–213
(Mi nd199)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Numerical analysis of rotation of a rigid body subject to the sum of a constant and dissipative moment
K. G. Troninab a Institute of Computer Science
b Udmurt State University
Abstract:
The paper explores the evolution of rotation of a rigid body influenced by a constant and dissipative disturbing moments. With the assumption that the disturbing moments are small, it has been shown numerically that for almost all initial conditions the body's motion tends asymptotically to a steady rotation around a principal axis with either largest or smallest moment of inertia. On the plane of initial conditions, the points corresponding to these two types of ultimate rotation have been shown to be distributed almost randomly.
Keywords:
disturbed motion, probabilistic phenomena, diagrams of asymptotic motion.
Citation:
K. G. Tronin, “Numerical analysis of rotation of a rigid body subject to the sum of a constant and dissipative moment”, Nelin. Dinam., 1:2 (2005), 209–213
Linking options:
https://www.mathnet.ru/eng/nd199 https://www.mathnet.ru/eng/nd/v1/i2/p209
|
Statistics & downloads: |
Abstract page: | 141 | Full-text PDF : | 67 | First page: | 1 |
|