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

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

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.

源语言	英语
期刊论文编号	064501
期刊	Chinese Physics B
卷	21
期	6
DOI	https://doi.org/10.1088/1674-1056/21/6/064501
出版状态	已出版 - 6月 2012

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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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KW - variable mass system

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Symmetry of Lagrangians of a holonomic variable mass system

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