Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量

摘要

Noether symmetry and Noether conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev＇s type are studied.The differential equation of motion of Nielsen equation for the system,the definition and the criterion of Noether symmetry,and the expression of Noether conserved quantity deduced directly from Noether symmetry for the system are obtained.An example is given to illustrate the application of the results.%研究Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量.对Chetaev型约束的相对运动力学系统Nielsen方程的运动微分方程、Noether对称性定义和判据进行具体的研究,得到了Noether对称性直接导致的Noether守恒量的表达式.最后举例说明结果的应用.