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Motion of a rigid body under random perturbation. (English) Zbl 1111.60052

Summary: 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.

MSC:

60H30 Applications of stochastic analysis (to PDEs, etc.)
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
70Exx Dynamics of a rigid body and of multibody systems
70L05 Random vibrations in mechanics of particles and systems