Non-Integrability of the Problem of a Rigid Satellite in Gravitational and Magnetic Fields

被引：0
作者：
Andrzej J. Maciejewski
Maria Przybylska
机构：
[1] University of Zielona Góra,Institute of Astronomy
[2] INRIA Projet CAFÉ,Toruń Centre for Astronomy
[3] 2004,undefined
[4] Nicholaus Copernicus University,undefined
来源：
Celestial Mechanics and Dynamical Astronomy | 2003年 / 87卷
关键词：
symmetric satellite; integrability; differential Galois; theory; Kovacic algorithm;
D O I：
暂无
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学科分类号：
摘要：
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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页码：317 / 351
页数：34
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