Lie symmetry and their conserved quantities of Tzénoff equations for the vairable mass nonholonomic systems
变质量非完整系统Tzénoff方程的Lie 对称性与其导出的守恒量

The operational system of the spacecraft is general a variable mass one, of which the symmetry and the conserved quantity imply physical rules of the space system. In this paper, Tzénoff equations of the variable mass nonholonomic system are derived, from which the Lie symmetries of Tzénoff equations for the variable mass nonholonomic system and conserved quantities are derived and are researched. The function expressions of conserved quantities and the criterion equations which deduce these conserved quantities are presented. This result has some theoretical value for further research of the conservation laws obeyed by the variable mass system.