 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 78, Issue 3 / 2014 | Next article >> |
| 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 |
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