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IssuesArchive of Issues2014-3pp.233-241

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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G.V. Gorr and A.I. Sinenko, "A kinematic interpretation of the motion of a heavy rigid body with a fixed point," J. Appl. Math. Mech. 78 (3), 233-241 (2014)
Year 2014 Volume 78 Issue 3 Pages 233-241
Title A kinematic interpretation of the motion of a heavy rigid body with a fixed point
Author(s) G.V. Gorr (Moscow, Russia, gvgorr@gmail.com)
A.I. Sinenko (Moscow, Russia)
Abstract A kinematic interpretation of the motion of a rigid body with a fixed point is proposed using the rolling of a mobile hodograph, which describes, on the ellipsoid of inertia, a vector collinear with the vector of the angular velocity of the body, with respect to a fixed vector. On the basis of this, an interpretation of the motion of the body in the Steklov, Grioli, Dokshevich and Bobylev - Steklov solutions is obtained. A new formula is derived indicating the connection between the angle of precession and the polar angle of the equations of the fixed hodograph, indicated by Kharlamov.
Received 13 June 2013
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892814000847
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