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An extended Lagrangian formalism

2018/02/14 by Federico Talamucci, Talamucci, Federico
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Control and Dynamics of Mobile Robots #Dynamics and Control of Mechanical Systems #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1802.05041

openalex publication_date 2018/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple formal procedure makes the main properties of the lagrangian binomial extendable to functions depending to any kind of order of the time--derivatives of the lagrangian coordinates. Such a broadly formulated binomial can provide the lagrangian components, in the classical sense of the Newton's law, for a quite general class of forces. At the same time, the generalized equations of motions recover some of the classical alternative formulations of the Lagrangian equations.

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