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Integrating Factors and Conservation Theorems of Nonholonomic Dynamical System of Relative Motion
Authors:QIAO Yong-Fen  ZHAO Shu-Hong  LI Ren-Jie  
Institution:1. Engineering College of Northeast Agricultural University, Harbin 150030, China ;2. Faculty of Science, Laiyang Agricultural College, Laiyang 265200, China
Abstract:The integrating factors and conservation theorems of nonholonomic dynamical system of relative motion are studied.First,the dynamical equations of relative motion of system are written.Next,the definition of integrating factors is given,and the necessary conditions for the existence of the conserved quantities are studied in detail.Then,the conservation theorem and its inverse of system are established.Finally,an example is given to illustrate the application of the result.
Keywords:nonholonomic system  relative motion  integrating factor  conservation theorem
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