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

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.