General solution to the Euler-Poisson equations of a free Lagrange top directly for the rotation matrix

2023/03/04 by Deriglazov, Alexei A.
#Classical Physics (physics.class-ph) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2303.02431

Abstract

The Euler-Poisson equations para determinar the rotation matrix of a rigid body can be solved without using of particular parameterization like the Euler angles. For the free Lagrange top, we obtain and discuss a general analytic solution, and compare it with the Poinsot's picture of motion.

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