变质量完整力学系统的Hojman守恒量

Hojman Conserved Quantity for Variable Mass Holonomic Mechanical Systems

研究完整力学系统由Noether对称性导致的Hojman守恒量.列写系统的运动微分方程;在时间不变的特殊无限小变换下,研究系统的Noether对称性与Lie对称性,给出Noether对称性为Lie对称性的条件;将Hojman定理推广至变质量系统,并举例说明结果的应用.

The Hojman conserved quantity was derived from the Noether symmetry for the variable mass holonomic mechanical systems. The differential motion equations of the systems were established, The Noether symmetry and the Lie symmetry under the special infinitesimal transformations of fixed time were presented and the condition under Lie symmetry was obtained. The Hojman theorem is generalized to the systems. Two examples are given as the application of the result.