Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 3, pp. 285-292
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We consider a quit general problem of motion of an asymmetric rigid body about a fixed point, acted upon by an irreducible skew combination of gravitational, electric and magnetic fields. Two of those three fields are uniform and the third has a more complicated structure. The existence of precessional motions about a nonvertical axis is established. Conditions on the parameters of the system are obtained. An alternative physical interpretation is given in the framework of the problem of motion of a rigid body immersed in an incompressible perfect fluid, acted upon by torques due to two uniform fields.
Keywords:
rigid body, precessional motion, three irreducible fields.
@article{ND_2019_15_3_a6,
author = {A. M. Hussein},
title = {Precessional {Motion} of a {Rigid} {Body} {Acted} upon by {Three} {Irreducible} {Fields}},
journal = {Russian journal of nonlinear dynamics},
pages = {285--292},
publisher = {mathdoc},
volume = {15},
number = {3},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2019_15_3_a6/}
}
A. M. Hussein. Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields. Russian journal of nonlinear dynamics, Tome 15 (2019) no. 3, pp. 285-292. http://geodesic.mathdoc.fr/item/ND_2019_15_3_a6/