Abstract

An explicit form of the equations of motion of non-holonomic systems with higher-order constraints is studied and a field method /1/ is used to integrate them. Various methods of integrating the equations of motion of non-holonomic systems were discussed earlier in /2–7/. The generalization of the Hamilton-Jacobi method to non-holonomic systems has strict limitations /5, 6/. The field method /1/ was extended in /4/ to cover non-holonomic systems with first-order constraints.

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