Conformal invariance and conserved quantities of dynamical system of relative motion

This paper discusses in detail the conformal invariance byinfinitesimal transformations of a dynamical system of relativemotion. The necessary and sufficient conditions of conformalinvariance and Lie symmetry are given simultaneously by the actionof infinitesimal transformations. Then it obtains the conservedquantities of conformal invariance by the infinitesimaltransformations. Finally an example is given to illustrate theapplication of the results.