On stability of regular precessions of a non-symmetric gyroscope

被引：5
|
作者：
Markeev, AP [1 ]
机构：
[1] Russian Acad Sci, Inst Mech Problems, Moscow 119526, Russia
来源：
REGULAR & CHAOTIC DYNAMICS | 2003年 / 8卷 / 03期
关键词：
D O I：
10.1070/RD2003v008n03ABEH000245
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the motion of a rigid body around a fixed point in homogeneous gravity field. The body is not dynamically symmetric and the center of gravity is situated on the straight line passing through the fixed point perpendicular to circular cross-sections of inertia ellipsoid. In 1947, G. Grioli proved that the body with such geometry of mass can be in a state of regular precession around of a nonvertical axis. In this paper we study the stability of this precession.
引用
收藏
页码：297 / 304
页数：8
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