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IssuesArchive of Issues2013-2pp.128-133

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G.M. Rozenblat, "Motions of a Top on a Smooth Plane without Separation," Mech. Solids. 48 (2), 128-133 (2013)
Year 2013 Volume 48 Number 2 Pages 128-133
DOI 10.3103/S0025654413020027
Title Motions of a Top on a Smooth Plane without Separation
Author(s) G.M. Rozenblat (Moscow State Automobile and Road Technical University, Leningradskii pr-t 64, Moscow, 125319 Russia, gr51@mail.ru)
Abstract The problem on the motion of a heavy top (a dynamically and geometrically symmetric rigid body) without separation on a smooth horizontal plane is considered. In the case of a spherical top surface (the Thomson top), necessary and sufficient conditions on the parameters and the initial positions and velocities of the body under which the motion is all the time without separation are given. These conditions are represented by explicit analytic formulas that can be used in practice.
Keywords Thomson top, smooth surface, separation conditions
References
1.  A. P. Markeev, Dynamics of a Body Contacting with a Rigid Surface (Nauka, Moscow, 1992) [in Russian].
2.  G. M. Rozenblat, "A Method for Determination of the Parameters of Motion of a Top That Moves without Bouncing on a Smooth Plane," Nelin. Din. 4 (1), 87-98 (2008).
3.  V. Ph. Zhuravlev, Foundations of Theoretical Mechanics (Fizmatlit, Moscow, 2008) [in Russian].
Received 11 March 2010
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