2010•Acta Physica SinicaOpen access

Symmetries and conserved quantities of the Rosenberg problem

Yi Zhang, Xue Yun, Ge Wei-Kuan

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Abstract

The Rosenberg problem is a typical but not a too complex problem of nonholonomic mechanical systems. By using the theory of Noether symmetries of nonholonomic systems, the conserved quantities of the problem is successively deduced,and the final result is obtained.

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What this paper is about

The Rosenberg problem is a typical but not a too complex problem of nonholonomic mechanical systems. By using the theory of Noether symmetries of nonholonomic systems, the conserved quantities of the problem is successively deduced,and the final result is obtained.

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Available abstract

The Rosenberg problem is a typical but not a too complex problem of nonholonomic mechanical systems. By using the theory of Noether symmetries of nonholonomic systems, the conserved quantities of the problem is successively deduced,and the final result is obtained.

Key concepts: Noether's theorem, Nonholonomic system, Conserved quantity, Homogeneous space, Classical mechanics, Physics, Conservation law, Mathematical physics

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