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Methodological notes


The relation of Thomas precession to Ishlinskii’s theorem as applied to the rotating image of a relativistically moving body


Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

It is shown that for a solid body following a curvilinear trajectory its rotation angle due to the effect of the special theory of relativity (Thomson precession) is numerically equal to the rest-frame-observed solid angle through which the body-fixed axis turns as a consequence of the rotation change the body image undergoes due to Lorentz length contraction and the retardation of the light emitted by various portions of the body. In classical mechanics, the same relation connects the solid-body rotation angle to the actual solid angle that the body-fixed axis describes as the body performs a conical motion — which is a consequence of Ishlinskii’s theorem.

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Fulltext is also available at DOI: 10.1070/PU1999v042n05ABEH000495
PACS: 03.30.+p
DOI: 10.1070/PU1999v042n05ABEH000495
URL: https://ufn.ru/en/articles/1999/5/f/
000080958700006
Citation: Malykin G B "The relation of Thomas precession to Ishlinskii's theorem as applied to the rotating image of a relativistically moving body" Phys. Usp. 42 505–509 (1999)
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Оригинал: Малыкин Г Б «Связь томасовской прецессии и теоремы Ишлинского, примененной к наблюдаемому вращению изображения релятивистски движущегося тела.» УФН 169 585–590 (1999); DOI: 10.3367/UFNr.0169.199905h.0585

References (50) Cited by (12) Similar articles (20) ↓

  1. G.B. Malykin “The Sagnac effect: correct and incorrect explanations” 43 1229 (2000)
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  3. A.A. Logunov, Yu.V. Chugreev “Special theory of relativity and the Sagnac effect” 31 861–864 (1988)
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  14. B.M. Bolotovskii, V.P. Bykov “Radiation by charges moving faster than light” 33 (6) 477–487 (1990)
  15. N.N. Rozanov “Superluminal localized structures of electromagnetic radiation” 48 167–171 (2005)
  16. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin” 52 821–829 (2009)
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  18. X.-B. Huang “A rigorous minimum-assumption derivation of the Lorentz transformation” 54 529–532 (2011)
  19. V.I. Ritus “Generalization of the k coefficient method in relativity to an arbitrary angle between the velocity of an observer (source) and the direction of the light ray from (to) a faraway source (observer) at rest” 63 601–610 (2020)
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