| 相对运动动力学系统的Lie对称与守恒量 |
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| 引用本文： | 刘荣万,傅景礼,梅凤翔.相对运动动力学系统的Lie对称与守恒量[J].北京理工大学学报(英文版),1998,7(3):221-225. |
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| 作者姓名： | 刘荣万 傅景礼 梅凤翔 |
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| 作者单位： | 韶关大学，商丘师专，北京理工大学应用力学系!北京，100081 |
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| 摘 要： | 目的研究完整力学系统相对运动动力学方程的Lie对称与守恒量．方法应用常微分方程在无限小变换下的不变性的Lie方法．结果与结论建立相对运动动力学方程的Lie对称确定方程，得到Lie对称结构方程和守恒量的形式．举例说明结果的应用．
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| 关 键 词： | 分析力学 相对运动动力学 Lie对称 守恒量 |
Lie Symmetries and Conserved Quantities of Systems of Relative Motion Dynamics |
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| Liu Rongwan,Fu Jingli and Mei Fengxiang.Lie Symmetries and Conserved Quantities of Systems of Relative Motion Dynamics[J].Journal of Beijing Institute of Technology,1998,7(3):221-225. |
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| Authors: | Liu Rongwan Fu Jingli and Mei Fengxiang |
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| Affiliation: | Department or Applied Mechanics, Beijing Institute of Technology, Beijing 100081;Department or Applied Mechanics, Beijing Institute of Technology, Beijing 100081;Department or Applied Mechanics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | Aim To study the Lie symmetries and conserved quantities of the dynamical equationsof relative motion for holonomic mechanical systems. Methods Lie's method of the invariance of ordinary differential equations under infinitesimal transformations was used. Results and Conclusion The determining equaiton of the Lie symmetries for the dynamical equationS of relative motion is established.The structure quation and the form conserved quantities are obtained. An example iD illustrate the application of the result is given. |
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| Keywords: | analytical mechanics dynamical of relative motion Lie symmetry conserved quantity |
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