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Noether’s theory of a rotational relativistic variable mass system is studied. Firstly, Jourdain’s principle of therotational relativistic variable mass system is given. Secondly, on the basis of the invariance of the Jourdain’s principleunder the infinitesimal transformations of groups, Noether’s theorem and its inverse theorem of the rotational relativisticvariable mass system are presented. Finally, an example is given to illustrate the application of the result.