Abstract We present a general approach to the construction of conservation laws for the dynamics of nonholonomic relativistic systems. Firstly, we give the definition of integrating factors for the differential equations of motion of a mechanical system. Next, the necessary conditions for the existence of the conserved quantities are studied in detail. Then, we establish the existential theorem for the conserved quantities and its inverse for the equations of motion of a nonholonomic relativistic system. Finally, an example is given to illustrate the application of the result.
Received: 28 April 2002
Accepted manuscript online:
Qiao Yong-Fen (乔永芬), Meng Jun (孟军), Zhao Shu-Hong (赵淑红) Existential theorem of conserved quantities and its inverse for the dynamics of nonholonomic relativistic systems 2002 Chinese Physics 11 859
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