The paper is devoted to the mathematical description of gyroscope dynamics using quaternion as nonsingular representation of rotation. In the previous works related to wire dynamics the angles of spherical coordinate system can give wrong results in common configurations of a wire injected into a melt. Present paper considers two models that are constructed using Euler-Lagrange equations and compared in the problematic situation when one model gives unexpected trajectory of motion. Also for checking the model another experiment with precession was carried out. Presented pictures show 3d-model of gyroscope precessing under force of gravity with different speeds.
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Бранец В.Н. Применение кватернионов в задачах ориентации твердого тела. / В.Н. Бранец, И.П. Шмыглевский. – М: «Наука», 1973. – 320 с.