Relative equilibria for the generalized rigid body
نویسندگان
چکیده
منابع مشابه
Relative Equilibria for the Generalized Rigid Body
This paper gives necessary and sufficient conditions for the (n-dimensional) generalized free rigid body to be in a state of relative equilibrium. The conditions generalize those for the case of the three-dimensional free rigid body, namely that the body is in relative equilibrium if and only if its angular velocity and angular momentum align, that is, if the body rotates about one of its princ...
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It is shown that for the generalized rigid body certain Cartan subalgebras (called of coordinate type) of so(n) are equilibrium points for the rigid body dynamics. In the case of so(4) there are three coordinate type Cartan subalgebras which on a regular adjoint orbit give three Weyl group orbits of equilibria. These coordinate type Cartan subalgebras are the analogues of the three axes of equi...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2005
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2004.06.007