广义势及非惯性系中的Lagrange方程 |
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引用本文: | 吴承平,张录坤. 广义势及非惯性系中的Lagrange方程[J]. 重庆交通大学学报(自然科学版), 1989, 8(4): 78-82 |
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作者姓名: | 吴承平 张录坤 |
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作者单位: | 不详 |
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摘 要: | 本文从动能出发,定义一系列惯性力所对应的广义势,获得非惯性坐标系中的Lagrange函数,从而将Lagrange方程推广到非惯性系,为相对运动的研究提供直捷方便的方法。
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关 键 词: | 广义势 拉格朗日方程 非惯性系 分析力学 |
Lagrangian Equations in the Non-lnertial Frame via Generalized Potentials |
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Abstract: | By kinetic energy this paper first gives the definitions of generalized potentials respectively according to different inertial forces. Second, it uses the generalized potentials to obtain Lagrangian functions in the non-inertial coordinate frame. Therefore, a generalization of the Lagrangian equations in the non-inertial system is given. The approach in this paper is effective and convenient for the research of relative motion. |
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Keywords: | generalized potential Lagrangian equation non-inertial frame ana-lytical dynamics |
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