| 质量变化对力学系统形式不变性和守恒量的影响 |
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| 引用本文： | 葛伟宽.质量变化对力学系统形式不变性和守恒量的影响[J].物理学报,2005,54(6):2478-2481. |
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| 作者姓名： | 葛伟宽 |
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| 作者单位： | 湖州师范学院理学院,湖州 313000 |
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| 基金项目： | 国家自然科学基金(批准号:10272021)资助的课题. |
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| 摘 要： | 研究质量变化对力学系统形式不变性和守恒量的影响.给出常质量系统和变质量系形式不变性的判据方程.比较两个判据方程得到质量变化时形式不变性仍保持的条件.给出两个系统有同样守恒量的条件.举例说明结果的应用.
关键词：
分析力学
变质量系统
形式不变性
守恒量
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| 关 键 词： | 分析力学 变质量系统 形式不变性 守恒量 |
| 文章编号： | 1000-3290/2005/54(06)2478-04 |
| 收稿时间： | 2004-08-31 |
Effects of mass variation on form invariance and conserved quantity of mechanical systems |
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| Ge Wei-Kuan.Effects of mass variation on form invariance and conserved quantity of mechanical systems[J].Acta Physica Sinica,2005,54(6):2478-2481. |
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| Authors: | Ge Wei-Kuan |
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| Abstract: | The effects of mass variation on form invariance and conserved quantity of mechanical systems are studied. The criterion of the form invariance for constant mass and variable mass systems is given.By comparing the two criterion equations, the condition under which the form invariance is kept is obtained. The condition under which two systems possess the same conserved quantity is also given. An e xample is given to illustrate the application of the result. |
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| Keywords: | analytical mechanics variable mass system form invariance conserved quantity |
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