Virial theorem in quasi-coordinates and Lie algebroid formalism
Abstract
In this paper, the geometric approach to the virial theorem developed in CFR12 is written in terms of quasi-velocities (see CNCS07). A generalization of the virial theorem for mechanical systems on Lie algebroids is also given, using the geometric tools of Lagrangian and Hamiltonian mechanics on the prolongation of the Lie algebroid.
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