Symmetry of Lagrangians of a holonomic variable mass system

Hui Bin Wu; Feng Xiang Mei

doi:10.1088/1674-1056/21/6/064501

Symmetry of Lagrangians of a holonomic variable mass system

Hui Bin Wu^*, Feng Xiang Mei

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The symmetry of Lagrangians of a holonomic variable mass system is studied. Firstly, the differential equations of motion of the system are established. Secondly, the definition and the criterion of the symmetry of the system are presented. Thirdly, the conditions under which there exists a conserved quantity deduced by the symmetry are obtained. The form of the conserved quantity is the same as that of the constant mass Lagrange system. Finally, an example is shown to illustrate the application of the result.

Original language	English
Article number	064501
Journal	Chinese Physics B
Volume	21
Issue number	6
DOIs	https://doi.org/10.1088/1674-1056/21/6/064501
Publication status	Published - Jun 2012

Keywords

Holonomic system
conserved quantity
symmetry of Lagrangians
variable mass system

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10.1088/1674-1056/21/6/064501

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abstract = "The symmetry of Lagrangians of a holonomic variable mass system is studied. Firstly, the differential equations of motion of the system are established. Secondly, the definition and the criterion of the symmetry of the system are presented. Thirdly, the conditions under which there exists a conserved quantity deduced by the symmetry are obtained. The form of the conserved quantity is the same as that of the constant mass Lagrange system. Finally, an example is shown to illustrate the application of the result.",

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AB - The symmetry of Lagrangians of a holonomic variable mass system is studied. Firstly, the differential equations of motion of the system are established. Secondly, the definition and the criterion of the symmetry of the system are presented. Thirdly, the conditions under which there exists a conserved quantity deduced by the symmetry are obtained. The form of the conserved quantity is the same as that of the constant mass Lagrange system. Finally, an example is shown to illustrate the application of the result.

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Symmetry of Lagrangians of a holonomic variable mass system

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Keywords

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