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物理学报  2002 

Non-Noether symmetrical conserved quantity for holonomic mechanical systems with variable mass
变质量完整力学系统的非Noether守恒量

Keywords: variable mass system,holonomic constraint,determining equation,non,Noether conserved quantity
变质量系统
,完整约束,确定方程,非Noether守恒量

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Abstract:

Using the Lie symmetry under infinitesimal transformations in which the time is not variable, a new conserved quantity for the holonomic mechanical systems with a variable mass is studied. The differential equations of motion of the systems are established. Determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman theorm is generalized and applied to the systems.

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