Conformal invariance and conserved quantities of a general holonomic system with variable mass

Conformal invariance and conserved quantities of a generalholonomic system with variable mass are studied. The definition andthe determining equation of conformal invariance for a generalholonomic system with variable mass are provided. The conformalfactor expression is deduced from conformal invariance and Liesymmetry. The relationship between the conformal invariance and theLie symmetry is discussed, and the necessary and sufficientcondition under which the conformal invariance would be the Liesymmetry of the system under an infinitesimal one-parametertransformation group is deduced. The conserved quantities of thesystem are given. An example is given to illustrate the applicationof the result.