Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields

Details Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields

2003-08-07

arxiv.org/abs/math-ph/0308010v2

Celestial Mech., 2003, vol.87, no.4, pp. 317--351

Physics

Mathematical Physics

39 pages, 4 figures, missing bibliography was added

Scientific paper

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.

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