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IssuesArchive of Issues2015-5pp.446-452

Archive of Issues

Since 2018, translations of PMM's articles have been published in special issues of the journals Mechanics of Solids and Fluid Dynamics:


Total articles in the database: 1923
In Russian (): 1124
In English (J. Appl. Math. Mech.): 799

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G.V. Gorr and A.M. Kovalev, "The use of Rodrigues-Hamilton parameters in interpreting the motion of a rigid body with a fixed point," J. Appl. Math. Mech. 79 (5), 446-452 (2015)
Year 2015 Volume 79 Issue 5 Pages 446-452
DOI 10.1016/j.jappmathmech.2016.03.005
Title The use of Rodrigues-Hamilton parameters in interpreting the motion of a rigid body with a fixed point
Author(s) G.V. Gorr (Institute of Applied Mathematics and Mechanics of the National Academy of sciences of Ukraine, Donetsk, Ukraine, gvgorr@gmail.com)
A.M. Kovalev (Institute of Applied Mathematics and Mechanics of the National Academy of sciences of Ukraine, Donetsk, Ukraine, kovalev@iamm.ac.donetsk.ua)
Abstract The connection between the different methods of interpreting the motion of a body with a fixed point is investigated. A new form of the equations of a stationary angular velocity hodograph is obtained that allows the Poinsot method to be applied using Rodrigues-Hamilton parameters. The properties of the kinematic parameters are studied for the precessing and isoconic motions of the body. The precessing motions in Dokshevich's solution and the isoconic motions in Steklov's solution are considered.
Received 23 June 2014
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892816300156
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