Lie Symmetries of Non-holonomic Systems with Unilateral Constraints Moving Relative to Noninertial Frame in Phase Space

This paper studies Lie symmetries and conserved quantities of nonholonomic systems of Chetaev's type with unilateral constraints moving relative to noninertial Frame in phase space. Firstly, it establishes the determining equations and the restriction equations of the Lie symmetries of the systems and gives the structure equations and the conserved quantities, which are using the invariance of the ordinary differential equations under the infinitesimal transformations; Secondly, it studies the inverse problem of Lie symmetries of the systems; Lastly, it gives an example to illustrate the application of the results.