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.
"Motion of a Rigid Body under Random Perturbation." Electron. Commun. Probab. 10 235 - 243, 2005. https://doi.org/10.1214/ECP.v10-1163