A new statement of Maupertuis principle of extremal action is contributed on the basis of a constrained action principle in the velocity phase-space in which the condition of energy conservation is imposed on virtual velocities. Dynamical systems governed by time-dependent Lagrangians on nonlinear configuration manifolds and subject to the action of time-dependent forces are considered. In time-independent systems, and in particular in conservative systems, the constrained action principle specializes to a formulation of the original Maupertuis least action principle in which however conservation of energy along the trajectory is a natural consequence of the variational principle and not an a priori assumption as in classical statements.

On Maupertuis principle in dynamics / Romano, Giovanni; Barretta, Raffaele; Barretta, Annalisa. - In: REPORTS ON MATHEMATICAL PHYSICS. - ISSN 0034-4877. - STAMPA. - 63:3(2009), pp. 331-346. [10.1016/S0034-4877(09)00015-9]

On Maupertuis principle in dynamics

ROMANO, GIOVANNI;BARRETTA, RAFFAELE;BARRETTA, ANNALISA
2009

Abstract

A new statement of Maupertuis principle of extremal action is contributed on the basis of a constrained action principle in the velocity phase-space in which the condition of energy conservation is imposed on virtual velocities. Dynamical systems governed by time-dependent Lagrangians on nonlinear configuration manifolds and subject to the action of time-dependent forces are considered. In time-independent systems, and in particular in conservative systems, the constrained action principle specializes to a formulation of the original Maupertuis least action principle in which however conservation of energy along the trajectory is a natural consequence of the variational principle and not an a priori assumption as in classical statements.
2009
On Maupertuis principle in dynamics / Romano, Giovanni; Barretta, Raffaele; Barretta, Annalisa. - In: REPORTS ON MATHEMATICAL PHYSICS. - ISSN 0034-4877. - STAMPA. - 63:3(2009), pp. 331-346. [10.1016/S0034-4877(09)00015-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/352670
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