122 research outputs found
Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields
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
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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