Regular precession of a rigid body in two uniform fields

被引:1
|
作者
Ol'Shanskii, Vladimir Yu [1 ]
机构
[1] Russian Acad Sci, Inst Problems Precis Mech & Control, Rabochaya 24, Saratov, Russia
关键词
Rigid body with fixed point; Two uniform fields; Regular precession; INTEGRABLE PROBLEMS; DYNAMICS; MOTION; EQUATIONS;
D O I
10.1016/j.mechrescom.2022.104041
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This article describes all possible cases of regular precession in the motion of a rigid body around a fixed point under the action of two uniform fields. A generalization of the known Yehia conditions is obtained when the precession and proper rotation velocities are equal to each other. A new case of regular precession is found for which the precession velocity is twice the proper rotation velocity, the precession axis may not be orthogonal to the force lines of both fields and is not orthogonal to the proper rotation axis.
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页数:6
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