| 变质量相对运动动力学系统的对称性与守恒量 |
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| 引用本文： | 岳楠,张毅.变质量相对运动动力学系统的对称性与守恒量[J].苏州科技学院学报(自然科学版),2011,28(1):19-23. |
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| 作者姓名： | 岳楠 张毅 |
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| 作者单位： | 苏州科技学院,土木工程学院,江苏苏州215011 |
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| 基金项目： | 江苏省高校自然科学基金资助项目(08KJB130002) |
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| 摘 要： | 研究了变质量相对运动动力学系统的Noether对称性、Lie对称性与守恒量,给出了对称性导致守恒量的条件以及守恒量的形式,最后举例说明结果的应用。
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| 关 键 词： | 分析力学 变质量 相对运动 对称性 守恒量 |
Symmetries and conserved quantities for variable mass dynamical systems in relative motion |
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| YUE Nan,ZHANG Yi.Symmetries and conserved quantities for variable mass dynamical systems in relative motion[J].Journal of University of Science and Technology of Suzhou,2011,28(1):19-23. |
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| Authors: | YUE Nan ZHANG Yi |
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| Institution: | YUE Nan,ZHANG Yi(College of Civil Engineering,SUST,Suzhou 215011,China) |
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| Abstract: | Noether symmetry,Lie symmetry and conserved quantities for variable mass dynamical systems in relative motion are studied.The conditions and form of conserved quantities caused by the symmetries are given.Finally,two examples are presented to illustrate the application of the results. |
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| Keywords: | analytical mechanics variable mass relative motion symmetry conserved quantity |
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