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物理学报 2002
Non-Noether symmetrical conserved quantity for holonomic mechanical systems with variable mass
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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.