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

Published 4 Mar 2023 in physics.class-ph, math-ph, and math.MP | (2303.02431v1)

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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