变质量完整系统相对运动Nielsen方程的Mei对称性和Mei守恒量
On Mei symmetry and Mei conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion
-
摘要: 研究变质量完整约束的相对运动动力学系统Nielsen方程的Mei对称性和Mei对称性直接导致的Mei守恒量.通过研究变质量完整系统相对运动Nielsen方程,导出了Mei对称性的判据方程及其直接导致的Mei守恒量的表达式.最后举例说明结果的应用.Abstract: Mei symmetry and Mei conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion have been discussed.The Nielsen equations' differential equations of motion for the system,the definition and criterion of Mei symmetry,and the expression of the corresponding Mei conserved quantity for the system have been worked out.Moreover,an example has been given to illustrate the application of the results