Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields
Mathematical Physics
2023-07-19 v2 Dynamical Systems
math.MP
Chaotic Dynamics
Abstract
In this paper we analyse the integrability of a dynamical system describing the rotational motion of a rigid satellite under the influence of gravitational and magnetic fields. In our investigations we apply an extension of the Ziglin theory developed by Morales-Ruiz and Ramis. We prove that for a symmetric satellite the system does not admit an additional real meromorphic first integral except for one case when the value of the induced magnetic moment along the symmetry axis is related to the principal moments of inertia in a special way.
Keywords
Cite
@article{arxiv.math-ph/0308010,
title = {Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields},
author = {Andrzej J. Maciejewski and Maria Przybylska},
journal= {arXiv preprint arXiv:math-ph/0308010},
year = {2023}
}
Comments
39 pages, 4 figures, missing bibliography was added