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 Electronic Communications in Probability > Vol. 10 (2005) > Paper 24 open journal systems 


Motion of a Rigid Body under Random Perturbation

Ming Liao, Auburn University, USA
Longmin Wang, Nankai University, P. R. China


Abstract
We use stochastic analysis to study the random motion of a rigid body under a white noise perturbation. We obtain a formula for the angular velocity in an average sense and discuss the stability near a principle axis.


Full text: PDF

Pages: 235-243

Published on: December 13, 2005
Bibliography
Bibliography

 

1.     V.I. Arnold. Mathematical methods of classical mechanics. (1978) Springer-Verlag. MR0690288 (57 #14033b)

2.     S. Helgason. Differential geometry, Lie groups, and symmetric spaces. (1978) Academic Press. MR0514561 (80k:53081)

3.     N. Ikeda and S. Watanabe. Stochastic differential equations and diffusion processes, 2nd ed. (1989) North-Holland-Kodansha. MR1011252 (90m:60069) 

4.     M. Liao. Random motion of a rigid body. J. of Theor. Prob. 10 (1997), 201 - 211. MR1432623 (98c:58178)













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Electronic Communications in Probability. ISSN: 1083-589X