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arXiv · 1505.01172

Conservation of energy and momenta in nonholonomic systems with affine constraints

Francesco Fassò·Nicola Sansonetto
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Abstract

We characterize the conditions for the conservation of the energy and of the components of the momentum maps of lifted actions, and of their `gauge-like' generalizations, in time-independent nonholonomic mechanical systems with affine constraints. These conditions involve geometrical and mechanical properties of the system, and are codified in the so-called reaction-annihilator distribution.

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Francesco Fassò, Nicola Sansonetto. 2015-05-05. Conservation of energy and momenta in nonholonomic systems with affine constraints. https://doi.org/10.1134/s1560354715040048

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