变质量非完整系统Tzénoff方程的Mei 对称性与其导出的守恒量

Mei Symmetry and Their Conserved Quantities of Tzénoff Equations for the Variable Mass Nonholonomic Systems

  • 摘要: 导出了变质量非完整力学系统的Tzénoff方程,研究了变质量非完整力学系统Tzénoff方程的Mei对称性及其所导出的守恒量,并给出了该守恒量的函数表达式和导出该守恒量的判据方程. 研究结果对进一步探究变质量航天器系统具有更为深刻的物理意义和指导价值.

     

    Abstract: In this paper, Tzénoff equations of the variable mass nonholonomic systems are derived firstly. Then the Mei symmetry of Tzénoff equations and the derived conserved quantities are researched. The functional expressions of conserved quantities and the criterion equations which deduce those conserved quantities are presented. The research results have a more profound physical meaning and are valuable for further exploration of the spacecaraft systems with variable mass.

     

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