Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields

We show that a heavy, magnetized and electrically charged asymmetric rigid body moving about a fixed point while carrying a rotor and acted upon by three uniform fields can perform a regular precession about a nonvertical axis, of the type described for the case of a single field by Grioli in 1947....

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Main Author:	H.M. Yehia
Format:	Article
Language:	English
Published:	SpringerOpen 2017-04-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	70E17 Rigid body Classical fields Regular precession Exact solutions Periodic solutions
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110256X16300517

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spelling	doaj-98a55a9f04384286846c9d86ae62c1a82020-11-25T02:37:33ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2017-04-0125221621910.1016/j.joems.2016.08.001Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fieldsH.M. YehiaWe show that a heavy, magnetized and electrically charged asymmetric rigid body moving about a fixed point while carrying a rotor and acted upon by three uniform fields can perform a regular precession about a nonvertical axis, of the type described for the case of a single field by Grioli in 1947. This is the first, and the only known by now, non-equilibrium solution of the problem of motion of a body in the presence of three classical fields, which are irreducible to a less number of fields.http://www.sciencedirect.com/science/article/pii/S1110256X1630051770E17Rigid bodyClassical fieldsRegular precessionExact solutionsPeriodic solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	H.M. Yehia
spellingShingle	H.M. Yehia Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields Journal of the Egyptian Mathematical Society 70E17 Rigid body Classical fields Regular precession Exact solutions Periodic solutions
author_facet	H.M. Yehia
author_sort	H.M. Yehia
title	Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
title_short	Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
title_full	Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
title_fullStr	Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
title_full_unstemmed	Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
title_sort	regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	1110-256X
publishDate	2017-04-01
description	We show that a heavy, magnetized and electrically charged asymmetric rigid body moving about a fixed point while carrying a rotor and acted upon by three uniform fields can perform a regular precession about a nonvertical axis, of the type described for the case of a single field by Grioli in 1947. This is the first, and the only known by now, non-equilibrium solution of the problem of motion of a body in the presence of three classical fields, which are irreducible to a less number of fields.
topic	70E17 Rigid body Classical fields Regular precession Exact solutions Periodic solutions
url	http://www.sciencedirect.com/science/article/pii/S1110256X16300517
work_keys_str_mv	AT hmyehia regularprecessionofarigidbodygyrostatacteduponbyanirreduciblecombinationofthreeclassicalfields
_version_	1724794884990173184

Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields

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