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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Layering O+(E3) as Configuration Space while Modeling Rigid Body

Volume 50, Numéro 5, 2018, pp. 1-10
DOI: 10.1615/JAutomatInfScien.v50.i5.10
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RÉSUMÉ

It is known that the position of a solid body is uniquely determined if it is given orthonormal triad, which is rigidly connected with the body. It is also logical to assume that the origin of this movable reference coordinate system is located in the center of mass of the body, and the unit vectors have directions of the main axes of inertia of the body, therefore, the layering O+(E3) of orthonormal oriented triads over the three-dimensional Euclidean space E3 is a natural configuration space of a rigid body. In this approach, the Poisson reduction of the phase space of a solid body to symmetrical top has a clear geometric meaning.

CITÉ PAR
  1. Lyashko S. I., Zub S. S., Yalovega I. G., Lyashko V. S., Mathematical Model of Permanent Magnets and Superconducting Coils, Cybernetics and Systems Analysis, 58, 1, 2022. Crossref

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