General solution to the Euler-Poisson equations of a free Lagrange top directly for the rotation matrix
Classical Physics
2023-07-28 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2303.02431,
title = {General solution to the Euler-Poisson equations of a free Lagrange top directly for the rotation matrix},
author = {Alexei A. Deriglazov},
journal= {arXiv preprint arXiv:2303.02431},
year = {2023}
}
Comments
6 pages. arXiv admin note: substantial text overlap with arXiv:2301.10741