Lie symmetries and conserved quantities of rotational relativistic systems

The Lie symmetries and conserved quantities of the rotational relativistic holonomic and nonholonomic systems were studied. By defining the infinitesi mal transformations' generators and by using the invariance of the differen tial equations under the infinitesimal transformations, the determining equ ations of Lie symmetries for the rotational relativistic mechanical systems are established. The structure equations and the forms of conserved quanti ties are obtained. An example to illustrate the application of the results is given.