ON THE STABILITY OF PERMANENT ROTATIONS OF A CHAIN OF TWO LAGRANGE GYROSTATS IN A CENTRAL GRAVITATIONAL FIELD

被引：0
|
作者：
Chebanov, Dmitriy [1 ]
Salas, Jose A. [1 ]
机构：
[1] City Univ New York LAGCC, Dept Math Engn & Comp Sci, Long Isl City, NY 11101 USA
来源：
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2016, VOL 6 | 2016年
关键词：
EQUILIBRIA; DYNAMICS; MOTION;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we study the problem of the motion of a two-gyrostat chain about a fixed point in a central gravitational field. We assume that the mass distribution of each gyrostat is analogous to the one of a Lagrange top, the gyrostatic moment of each gyrostat is constant relative to its carrier, and the center of a spherical joint connecting the gyrostats belongs to their dynamic symmetry axes. We establish and analyze sufficient conditions for stability of the chain's permanent rotations about a vertical axis. Our findings extend corresponding results in the dynamics of a single gyrostat to a case of the two-gyrostat chain as well as generalize some of the known properties of permanent rotations in the many-body dynamics.
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页数：10
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