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Preprints of the Keldysh Institute of Applied Mathematics, 2013, 039, 23 pp.
(Mi ipmp1789)
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This article is cited in 5 scientific papers (total in 5 papers)
Quaternion algebra in rigid body kinematics
Yu. F. Golubev
Abstract:
The laconic substantiation of the description for isometries of the three dimensional Euclidean space by means of quaternions is presented. Methods for calculation of quaternions directly on giving image and object of rigid body points during its motion are developed. The set of quaternions corresponding to regular precessions is picked out. Features of kinematics equations for quaternions are analyzed. Some theoretical developments are illustrated by specific examples.
Keywords:
kinematics, quaternion, kinematic equations, regular precession.
Citation:
Yu. F. Golubev, “Quaternion algebra in rigid body kinematics”, Keldysh Institute preprints, 2013, 039, 23 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp1789 https://www.mathnet.ru/eng/ipmp/y2013/p39
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