Explicit Integration of One Problem in Nonholonomic Mechanics

被引：8
|
作者：
Borisov, A. V. [1 ]
Mamaev, I. S. [1 ]
Marikhin, V. G. [2 ]
机构：
[1] Udmurtian State Univ, Inst Comp Sci, Izhevsk 426034, Udmurtia, Russia
[2] Russian Acad Sci, LD Landau Theoret Phys Inst, Moscow 119334, Russia
来源：
DOKLADY PHYSICS | 2008年 / 53卷 / 10期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/S1028335808100066
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The problem while integrating explicitly the systems of equations (I) for k = -1 in quadratures at a zero level of the integral (F2=0) is studied. This problem is analogous to integration of the equations of motion in the Chaplygin problem for the zero constant of the area integral. First of all, the angular velocity for F2=0 is measured. After a situation of time, a Hamiltonian set on a two-dimensional sphere is obtained, which can be presented in the form of equations on a special orbit of the coalgebra.
引用
收藏
页码：525 / 528
页数：4
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