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Rotary dynamics of polarized composite particles as dipole rigid bodies is considered. It is described the Euler equations singularly perturbed by the radiation reaction torque. The Schott term is taken into account, and the reduction procedure lowering higher derivatives is applied. Asymptotic methods of nonlinear mechanics are used to analyze the rotary dynamics of askew-polarized spinning top. Numerical estimates are relevant to the hypothetical DAST-nanocrystals that might possess a huge dipole moment.

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