中文摘要：

研究了相对运动变质量完整系统的共形不变性与守恒量，提出了该系统共形不变性的概念，推导出了相对运动变质量完整系统的运动微分方程具有共形不变性并且是 Lie 对称性的充要条件，借助规范函数满足的结构方程导出系统相应的守恒量，并给出应用算例.

英文摘要：

Conformal invariance and conserved quantity for a variable mass holonomic system in relative motion have been studied. The definition and the determining equations of conformal invariance for a variable mass holonomic system in relative motion are given. The necessary and sufficient conditions that the system’s conformal invariance be of Lie symmetry are deduced. With the aid of a structure equation which the gauge function should satisfy, the system’s corresponding conserved quantity is obtained. Finally, an illustrative example is given to verify the results.