This article is cited in 1 paper

Four-Dimensional Generalization of the Grioli Precession

Vladimir Dragović^ab, Borislav Gajić<sup>a

a</sup> Mathematical Institute, Serbian Academy of Science and Art, Kneza Mihaila 36, 11000 Belgrade, Serbia
^b University of Texas at Dallas, 800 West Campbell Road, Richardson, TX, 75080, USA

Abstract: A particular solution of the four-dimensional Lagrange top on $e(4)$ representing a four-dimensional regular precession is constructed. Using it, a four-dimensional analogue of the Grioli nonvertical regular precession of an asymmetric heavy rigid body is constructed.

Keywords: rigid body dynamics, Grioli precession, four-dimensional Lagrange case.

MSC: 70E45, 70E17

Received: 11.10.2014
Accepted: 14.10.2014

Language: English

DOI: 10.1134/S1560354714060045

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