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Issue 10, 2026
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Relation between energy conservation and equations of motion (A reply to the comment by E A Arinshtein (Usp. Fiz. Nauk 185 333 (2015) [Phys. Usp. 58 (3) (2015)]) on "Analytical mechanics and field theory: derivation of equations from energy conservation" (Usp. Fiz. Nauk 184 641 (2014) [Phys. Usp. 57 593 (2014)]))

 a, b, c
a Budker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences, prosp. akad. Lavrenteva 11, Novosibirsk, 630090, Russian Federation
b Korea Atomic Energy Research Institute, Daedeok-Daero, Yuseong-gu, Daejeon, 305-353, Republic of Korea
c Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russian Federation

Equations of motion that conserve a given function (called energy) of generalized coordinates and velocities are derived. These equations differ from Lagrange's ones by presence of additional terms describing generalized gyroscopic forces. The relation between energy conservation and d'Alembert's principle is noted.

Fulltext pdf (63 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201503g.0335
PACS: 45.20.−d, 45.20.Jj, 45.20.dh, 45.50.−j (all)
DOI: 10.3367/UFNe.0185.201503g.0335
URL: https://ufn.ru/en/articles/2015/3/f/
000356096100006
2015PhyU...58..311V
Citation: Vinokurov N A "Relation between energy conservation and equations of motion (A reply to the comment by E A Arinshtein (Usp. Fiz. Nauk 185 333 (2015) [Phys. Usp. 58 (3) (2015)]) on "Analytical mechanics and field theory: derivation of equations from energy conservation" (Usp. Fiz. Nauk 184 641 (2014) [Phys. Usp. 57 593 (2014)]))" Phys. Usp. 58 311–312 (2015)
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Received: 23rd, October 2014, 29th, October 2014

Оригинал: Винокуров Н А «Связь закона сохранения энергии и уравнений движения (Ответ на комментарий Э.А. Аринштейна [УФН 185 ЗЗЗ (2015)] к статье "Вывод уравнений аналитической механики и теории поля из закона сохранения энергии" [УФН 184 641 (2014)])» УФН 185 335–336 (2015); DOI: 10.3367/UFNr.0185.201503g.0335

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  11. V.I. Klyatskin “Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on “21st century: what is life from the perspective of physics?” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)” Phys. Usp. 55 1152–1154 (2012)
  12. M.V. Rybin, M.F. Limonov “Once again about supercavity modes (a response to the letter to the editors of Physics-Uspekhi from V.V. Klimov [Phys. Usp. 62 (10) (2019); Usp. Fiz. Nauk 189 (10) 1131 (2019)] with comments on the review by M.V. Rybin and M.F. Limonov "Resonance effects in photonic crystals and metamaterials" [Phys. Usp. 62 (8) 823 (2019); Usp. Fiz. Nauk 189 (8) 881 (2019)])” Phys. Usp. 62 1279–1281 (2019)
  13. A.V. Melkikh “First principles of probability theory and some paradoxes in modern biology (comment on “21st century: what is life from the perspective of physics?” by G R Ivanitskii)” Phys. Usp. 54 429–430 (2011)
  14. M.L. Shmatov “Once again on the Gatchina discharge and ball lightning (comments on G.D. Shabanov's paper "On the possibility of making natural ball lightning using a new pulse discharge type in the laboratory" [Phys. Usp. 62 92 (2019); Usp. Fiz. Nauk 189 95 (2019)])” Phys. Usp. 63 96–98 (2020)
  15. A.F. Bunkin, S.M. Pershin “Once again, on the observation of molecular rotational spectra in condensed media” Phys. Usp. 52 1283–1284 (2009)
  16. A.M. Cherepashchuk “Exotic aspects of black holes: an astronaut near the horizon (on the methodological note by A A Grib and Yu V Pavlov “Is it possible to see the infinite future of the Universe when falling into a black hole?”)” Phys. Usp. 52 861–862 (2009)
  17. M.A. Bol’shov, A.A. Makarov, V.R. Mironenko “On the observation of molecular rotational spectra in condensed media” Phys. Usp. 52 1279–1281 (2009)
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  19. A.I. Lipkin, R.S. Nakhmanson et al “Readers comments on ‘Quantum mechanics: new experiments, new applications, new formulations’ by M B Menskii” Phys. Usp. 44 417–417 (2001)

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