完整力学系统准坐标下运动方程的形式不变性

Form Invariance of Equations of Motion for Holonomic Systems in Terms of Quasi-Coordinates

对称性方法是寻求守恒量的近代方法 .形式不变性是一种新的对称性 .研究完整力学系统准坐标表示的运动微分方程在群的无限小变换下的形式不变性 .给出形式不变性的定义和判据 .研究形式不变性导致守恒量的条件 。

Symmetry method is a modern method in seeking conservation. A form invariance is a new symmetry. The paper studies the form invariance of differential equations of motion for holonomic systems in terms of quasi coordinates, under the infinitesimal transformations of groups. Definition and criterion of the invariance are given. The condition under which the invariance can lead to a conserved quantity is deduced. An example is given to illustrate the application of the result.