A Field Integration Method for a Weakly Nonholonomic System

A field integration method for a weakly nonholonomic system is studied. The differential equations of motion of the system are established. The approximate solution of the holonomic system corresponding to the weakly nonholonomic system is obtained by using the field method. The restriction of nonholonomic constraint to initial conditions is added and the approximate solution of the weakly nonholonomic system is obtained. An example is given to demonstrate the application of the result.