Symmetries and conservation laws for the Chaplygin sleigh
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | BSGP |
| MU Faculty or unit | |
| Citation | |
| Field | Theoretical physics |
| Keywords | nonholonomic mechanics; constraint submanifold; canonical distribution; reduced equations of motion; nonholonomic symmetries; conservation laws; Chaplygin sleigh |
| Description | The Chaplygin sleigh is a mechanical system subject to one linear nonholonomic constraint enforcing the plane motion. We solve equations of motion and study symmetries and conservation laws for this system after deriving general equations of nonholonomic symmetries of the constraint Lagrangian. Our considerations are based on an efficient geometrical theory on fibred manifolds first presented and developed by Olga Rossi (Krupkova). The obtained results are thoroughly discussed from the point of view of physics. |
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