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Uspekhi Fizicheskikh Nauk, 2015, Volume 185, Number 3, Pages 335–336
DOI: https://doi.org/10.3367/UFNr.0185.201503g.0335 (Mi ufn5174) 		 
LETTERS TO THE EDITORS

Relation between energy conservation and equations of motion (a reply to the comment by E A Arinshtein [Phys. Usp. 58 309 (2015); Usp. Fiz. Nauk 185 333 (2015)] on “Analytical mechanics and field theory: derivation of equations from energy conservation” [Phys. Usp. 57 593 (2014); Usp. Fiz. Nauk 184 641 (2014)])

N. A. Vinokurovab

a Budker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Korea Atomic Energy Research Institute, Yuseong-gu, Daejeon
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DOI: https://doi.org/10.3367/UFNr.0185.201503g.0335
Abstract: Equations of motion that preserve a given function (called energy) of generalized coordinates and velocities are derived. These equations differ from Lagrange equations by the presence of additional terms describing generalized gyroscopic forces. The relation between energy conservation and the d'Alembert principle is noted.
Received: October 23, 2014
Accepted: October 29, 2014
English version:
Physics–Uspekhi, 2015, Volume 58, Issue 3, Pages 311–312
DOI: https://doi.org/10.3367/UFNe.0185.201503g.0335
Bibliographic databases:
Document Type: Letter, errata
PACS: 45.20.-d, 45.20.Jj, 45.20.dh, 45.50.-j
Language: Russian
Citation: N. A. Vinokurov, “Relation between energy conservation and equations of motion (a reply to the comment by E A Arinshtein [Phys. Usp. 58 309 (2015); Usp. Fiz. Nauk 185 333 (2015)] on “Analytical mechanics and field theory: derivation of equations from energy conservation” [Phys. Usp. 57 593 (2014); Usp. Fiz. Nauk 184 641 (2014)])”, UFN, 185:3 (2015), 335–336; Phys. Usp., 58:3 (2015), 311–312
Citation in format AMSBIB
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\by N.~A.~Vinokurov
\paper Relation between energy conservation and equations of motion (a reply to the comment by E~A~Arinshtein [\textit{Phys. Usp.} \textbf{58} 309 (2015); \textit{Usp. Fiz. Nauk} \textbf{185} 333 (2015)] on ``Analytical mechanics and field theory: derivation of equations from energy conservation'' [\textit{Phys. Usp.} \textbf{57} 593 (2014); \textit{Usp. Fiz. Nauk} \textbf{184} 641 (2014)])
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\jour Phys. Usp.
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\pages 311--312
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