变质量相对运动力学系统Nielsen方程的Noether守恒量

Noether conserved quantity for Nielsen equations in a variable mass holonomic dynamical system of the relative motion

摘要: 研究变质量相对运动力学系统Nielsen方程的Noether守恒量.在群的无限小变换下,给出变质量相对运动力学系统Nielsen方程Noether对称性的定义及Noether对称性的判据;进而得到与变质量相对运动力学系统Nielsen方程Noether对称性相应的Noether守恒量.举例说明结果的应用.

Abstract: Noether conserved quantity for Nielsen equations in a variable mass dynamical system of the relative motion has been studied.The definition and criteria of Noether symmetry for the Nielsen equations in the system under the infinitesimal transformations of groups have been explored.Meanwhile the Noether conserved quantity corresponding to Noether symmetry for the Nielsen equations in the system has been obtained.Finally,an example has been given to illustrate the application of the results.