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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Fassò, F., Sansonetto, N. Conservation of energy and momenta in nonholonomic systems with affine constraints. Regul. Chaot. Dyn. 20, 449–462 (2015). https://doi.org/10.1134/S1560354715040048
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DOI: https://doi.org/10.1134/S1560354715040048