Abstract:
Noether conserved quantity for Nielsen equations in a variable mass dynamical system of the relative motion has been studied.The definition and criteria of Noether symmetry for the Nielsen equations in the system under the infinitesimal transformations of groups have been explored.Meanwhile the Noether conserved quantity corresponding to Noether symmetry for the Nielsen equations in the system has been obtained.Finally,an example has been given to illustrate the application of the results.