非完整相对运动动力学系统的 Lagrange对称性与守恒量

摘要

This paper researchs the Lagrange symmetries and conserved quantities for the nonholonomic mechanical system in relative motion.The definition and criterion of Lagrange symmetry of the systems are given.Theconditions under which a Lagrangesymmetry can lead to a new conserved quantity ( first integral) are obtained and the form of thenew conserved quantity( first integral) is presented.The example is given to illustrate the application of the results.%研究非完整相对运动动力学系统的Lagrange对称性，给出非完整相对运动动力学系统的Lagrange对称性的定义和判据，并得到非完整相对运动动力学系统的Lagrange对称性导致守恒量的条件和形式。通过算例说明结果的应用。