New case of complete integrability of dynamics equations on a tangent fibering to a 3D sphere

被引：0
|
作者：
Shamolin M.V. [1 ]
机构：
[1] Research Institute of Mechanics, Moscow State University, Leninskie Gory, Moscow
来源：
Moscow University Mathematics Bulletin | 2015年 / 70卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Dynamic Equation; Body Motion; Motion Equation; Complete Integrability; Tracking Force;
D O I：
10.3103/S002713221503002X
中图分类号：
学科分类号：
摘要：
The paper presents the results of study of the motion equations for a dynamically symmetric 4D-rigid body placed in a certain non-conservative field of forces. The form of the field is taken from the dynamics of actual 2D- and 3D-rigid bodies interacting with the medium in the case when the system contains a non-conservative pair of forces forcing the center of mass of a body to move rectilinearly and uniformly. A new case of integrability is obtained for dynamic equations of body motion in a resisting medium filling a four-dimensional space under presence of a tracking force. © 2015, Allerton Press, Inc.
引用
收藏
页码：111 / 114
页数：3
相关论文
共 50 条
12345