RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1999

 / 

May

←  →

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.

Fulltext pdf (209 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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. Thomas L H Nature (London) 117 514 (1926)
  2. Thomas L H Philos. Mag. 3 1 (1927)
  3. Møller C The Theory of Relativity (Oxford: Clarendon Press, 1972) [Translated into Russian (Moscow: Atomizdat, 1975)]
  4. Malykin G B, Permitin G V "Thomas precession", in Fizicheskaya Éntsiklopediya (Physical Encyclopedia) Vol. 5 (Moscow: Rossiîskaya Entsiklopediya 1998) p. 108
  5. Ishlinskiî A Yu Mekhanika Spetsial’nykh Giroskopicheskikh Sistem (Mechanics of Special Gyroscopic Systems, Kiev: Izd. AN USSR, 1952)
  6. Ishlinskiî A Yu Mekhanika Giroskopicheskikh Sistem (Mechanics of Gyroscopic Systems, Moscow: Izd. AN SSSR, 1963)
  7. Zhbanov Yu K, Zhuravlev V F Izv. Akad. Nauk SSSR Mekh. Tverd. Tela (1) 9 (1978)
  8. Zhuravlev V F Prikl. Mat. Mekh. 60 323 (1996)
  9. Zhuravlev V F Osnovy Teoreticheskoî Mekhaniki (Principles of Theoretical Mechanics, Moscow: Nauka, Fizmatlit, 1997)
  10. Penrose L Proc. Cambridge Philos. Soc. 55 (1) 137 (1959)
  11. Terrell J Phys. Rev. 116 1041 (1959)
  12. Weisskopf V F Physics in Twentieth Century (Cambridge: MIT Press, 1972) [Translated into Russian (Moscow: Atomizdat, 1977)]
  13. Bolotovskiî B M, in Èînshteînovskiî Sbornik 1980 - 1982 (Einstein’s Collection 1980 - 1982, Ed. I Yu Kobzarev, Moscow: Nauka, 1985) p. 142
  14. Bolotovskiî B M, in Èînshteînovskiî Sbornik 1986 - 1990 (Einstein’s Collection 1986 - 1990, Ed. I Yu Kobzarev, Moscow: Nauka, 1990) p. 279
  15. Landau L D, Lifshitz E M The Classical Theory of Fields (Oxford: Pergamon Press, 1975) [Translated from Russian edition (Moscow: Nauka, 1973)]
  16. Schiff L I Quantum Mechanics (New York: McGraw-Hill, 1955) [Translated into Russian (Moscow: IL, 1959)]
  17. Jackson J D Classical Electrodynamics (New York: Wiley, 1962) [Translated into Russian (Moscow: Mir, 1965)]
  18. Anandan J Phys. Rev. D 24 338 (1981)
  19. Mashhoon B Phys. Rev. Lett. 61 2639 (1988)
  20. Malykin G B Usp. Fiz. Nauk 167 337 (1997) [Phys. Usp. 40 317 (1997)]
  21. Malykin G B Opt. Spektrosk. 76 540 (1994) [Opt. Spectrosc. 76 484 (1994)]
  22. Malykin G B Izv. Vyssh. Uchebn. Zaved., Radiofizika 41 767 (1998)
  23. Field J H, Picasso E, Combley F Tests of Fundamental Physical Theories from Measurements of Free Charged Leptons (Geneva: CERN, 1978)
  24. Field J H, Picasso E, Combley F Usp. Fiz. Nauk 127 553 (1979) [Sov. Phys. Usp. 22 199 (1979)]
  25. Schiff L I Phys. Rev. Lett. 4 215 (1960)
  26. Schiff L I Nuovo Cimento 17 124 (1960)
  27. Einstein A Sitzungsber. preuss. Acad. Wiss. 47 831 (1915) [Translated into Russian in Sobranie Nauchnykh Trudov T. 1 (Moscow: Nauka, 1965) p. 439]
  28. Shapiro I, in Astrofizica e Cosmologia Gravitazione Quanti e Relativita (Fireneze: Giunti Barbera, 1979) [Translated into Russian (Moscow: Mir, 1982) p. 215]
  29. Lense J, Thirring H Phys. Z. 19 156 (1918)
  30. Thirring H Phys. Z. 22 29 (1921)
  31. Lange B Phys. Rev. Lett. 74 1904 (1995)
  32. Leverrier U J Ann. Observ. Imper. (Paris) 5 19 (1859)
  33. Neganov B S Hadr. J. 14 377 (1991)
  34. Perelstein E A, Perelstein M E Found. Phys. Lett. 8 449 (1995)
  35. Goodman L E, Robinson A R J. Appl. Mech. 25 210 (1958)
  36. Goodman L E, Robinson A R, in sb. Mekhanika (Mechanics Collection) N 5 (57, Moscow: IL 1959) p. 133
  37. Malykin G B Izv. Vyssh. Uchebn. Zaved., Radiofizika 40 265 (1997)
  38. Malykin G B Opt. Spektrosk. 81 474 (1996) [Opt. Spectrosc. 81 431 (1996)]
  39. Berry M Proc. R. Soc. London Ser. A 392 45 (1984)
  40. Vinitskiî S I, Derbov V L, Dubovik V N, Markovskiî B L, Stepanovskiî Yu P Usp. Fiz. Nauk 160 (6) 1 (1990) [Sov. Phys. Usp. 33 403 (1990)]
  41. Berry M Phys. Today 43 34 (1990)
  42. Anandan J Nature (London) 360 307 (1992)
  43. Klyshko D N Usp. Fiz. Nauk 163 (11) 1 (1993) [Phys. Usp. 36 1005 (1993)]
  44. Bodnarchuk V I, Davtyan L S, Korneev D A Usp. Fiz. Nauk 166 185 (1996) [Phys. Usp. 39 169 (1996)]
  45. Neîmark Yu I, Fufaev N A Dinamika Negolonomnykh Sistem (Dynamics of Nonholonomical Systems, Moscow: Nauka, 1967)
  46. Vygodskiî M Ya Spravochnik po Èlementarnoî Matematike (Elementary Mathematics Handbook, Moscow: Nauka, 1982)
  47. Mathur H Phys. Rev. Lett. 67 3325 (1991)
  48. Shankar R, Mathur H Phys. Rev. Lett. 73 1565 (1994)
  49. Sommerfeld A Atombau und Spektrallinien Bd. I (Braunschweig: Fiedr. Vieweg & Sohn, 1951) [Translated into Russian (Moscow: GITL, 1956) p. 579]
  50. Belloni L, Reina R, in Èînshteînovskiî Sbornik 1984-1985 (Einstein’s Collection 1984-1985, Ed. I Yu Kobzarev, Moscow: Nauka, 1988) p. 201
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions