122 research outputs found

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

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    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.Comment: 39 pages, 4 figures, missing bibliography was adde

    The Crystal Structure of Quinol Dimethyl Ether. Additional Paper on the Crystallite Orientation in Different Grades of Manila and Sisal Fibres

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    The crystal and molecular structure of quinol dimethyl ether has been determined by quantitative two-dimensional X-ray methods. The crystals are orthorhombic bipyramidal and belong to the Pbca space group. There are four molecules per unit cell and each molecule possesses a centre of symmetry which coincides with the crystallographic centre of symmetry. The molecular planes are inclined at about 3
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