Skip to main content
SpringerLink
Log in

Theoretical Aspects of the Earth Rotation

  • Chapter
Reference Frames

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 154))

Abstract

The motion of the Earth is composed of an orbital motion of the centre of mass around the Sun and a rotational motion about figure axes passing through this centre of mass. Both the orbital motion and the rotational motion determine the fundamental reference frames. Both motions are permanently perturbed by gravitational attractions and torques of other members of the solar system, and the orbital motion disturbs the rotational motion and also the rotational motion disturbs the orbital motion, which is very small but is now detectable by high accuracy observations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Andoyer, H., 1923, Cours de Mécanique Céleste, vol. 1, Gauthier-Villars, Paris, p. 54.

    MATH  Google Scholar 

  • Aoki, S., Guinot, B., Kaplan, G.H., Kinoshita, H., McCarthy, D.D. and Seidelmann, P.K., 1982, Astron. Astrophys., 108, 359.

    ADS  Google Scholar 

  • Aoki, S. and Kinoshita, H., 1983, Celes. Mech., 29, 335.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Atkinson, R.d’E., 1973, Astron. J., 78, 147.

    Article  ADS  Google Scholar 

  • Atkinson, R.d’E., 1975, Monthly Notices Roy. Astron. Soc, 71, 381.

    ADS  Google Scholar 

  • Bretagnon, P., 1982, Astron. Astrophys., 114, 278.

    ADS  MATH  Google Scholar 

  • Chapront-Touze, M. and Chapront, J., 1983, Astron. Astrophys., 124, 50.

    ADS  Google Scholar 

  • Eckert, W.J., Walker, M.J. and Ecker, D., 1966, Astron. J., 71, 314.

    Article  ADS  Google Scholar 

  • Fricke, W., 1971, Astron. Astrophys., 13, 298.

    ADS  Google Scholar 

  • Gilbert, F., and Dziewonski, A.M., 1975, Phil. Trans. R. Soc, 278A, 187.

    ADS  Google Scholar 

  • Goodkind, J.M., 1983, Proc. 9th Int. Symp. Earth Tides, J. Kuo (ed.), Schweizerbart, Stuttgart, 569.

    Google Scholar 

  • Guinot, B., 1979, Proc. 82th IAU Symp. Time and Earth’s Rotation, D.D. McCarthy and J.D.H. Pilkington (eds.), p. 7.

    Google Scholar 

  • Gwinn, C.R., Herring, T.A. and Shapiro, I.L.I., 1986, J. Geophys. Res., 91, 4755.

    Article  ADS  Google Scholar 

  • Hansen, P.A., 1857, Tables de la Lune construites d’après le principe newtonien de la gravitation universelle, 410, London.

    Google Scholar 

  • Herring, T. A., Gwinn, C.R., and Shapiro, I.I., 1986, J. Geophys. Res., 91, 4745.

    Article  ADS  Google Scholar 

  • Hide, R., 1986, Q.J.R. Astr. Soc., 27, 3.

    ADS  Google Scholar 

  • Hopkins, W., 1839, Phil. Trans. R. Soc, 129, 381.

    Article  Google Scholar 

  • Hori, G., 1966, Publ. Astron. Soc. Japan, 18, 287.

    ADS  Google Scholar 

  • Hough, S.S., 1895, Phil. Trans. R. Soc., A186, 469.

    ADS  Google Scholar 

  • Jeffreys, H., and Vicente, R.O., 1957a, Mon. Not. R. Astr. Soc., 117, 142.

    MathSciNet  ADS  MATH  Google Scholar 

  • Jeffreys, H., and Vicente, R.O., 1957b, Mon. Not. R. Astr. Soc., 117, 162.

    MathSciNet  ADS  MATH  Google Scholar 

  • Kelvin, Lord, 1876, Brit. Assoc Report.

    Google Scholar 

  • Kinoshita, H., 1972, Publ. Astron. Soc. Japan, 24, 423.

    MathSciNet  ADS  Google Scholar 

  • Kinoshita, H., 1975, Smithsonian Astrophys. Obs. Special Report, no. 364.

    Google Scholar 

  • Kinoshita, H., 1977, Celes. Mech., 15, 277.

    Article  MathSciNet  ADS  Google Scholar 

  • Kinoshita, H., Nakajima, K, Kubo, Y., Nakagawa, I., Sasao, T., and Yokoyama, K., 1979, Publ. Int. Latit. Obs. Mitzusawa, 12, 2.

    Google Scholar 

  • Kinoshita, H. and Aoki, S., 1983, Celes. Mech., 31, 329.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Le Verrier, U.J., 1858, Ann. Observatoire, 3, 13.

    Google Scholar 

  • Lieske, J.H, 1967, NASA Tech. Report 31–1044.

    Google Scholar 

  • Lieske, J.H., Lederle, T., Fricke, W., and Morando, B., 1977, Astron. Astrophys., 58, 1.

    ADS  Google Scholar 

  • Molodensky, M.S., 1961, Comm. Obs. R. Belg., 188, 25.

    Google Scholar 

  • Molodensky, S.M., 1981, Izvestiya, Earth Physics, 17, 395.

    Google Scholar 

  • Moritz, H., 1982, Bull. Geod., 56, 364.

    Article  MathSciNet  Google Scholar 

  • Moritz, H, 1985, Obs. R. Belg., 10, 99.

    Google Scholar 

  • Münk, W.H. and MacDonald, G.J.F., 1960, The Rotation of the Earth, Cambridge University Press, Cambridge, London.

    Google Scholar 

  • Newcomb, S., 1895a, Astron. Papers Amer. Ephemeris, 15, pt. 1.

    Google Scholar 

  • Newcomb, S., 1895b, Supplement to the American Ephemeris for 1897.

    Google Scholar 

  • Newcomb, S., 1906, A Compendium of Spherical Astronomy, New York, MacMillan, chap. 9.

    MATH  Google Scholar 

  • Oppolzer, T., 1880, Bahnbestimmung der Kometen und Planeten, 2nd ed., vol. 1, chap. 5.

    Google Scholar 

  • Poincaré, H., 1910, Bull. Astr., 21, 321.

    Google Scholar 

  • Po-Yu Shen and Mansinha, L, 1976, Geophys. J. R. Astr. Soc., 46, 467.

    ADS  MATH  Google Scholar 

  • Rochester, M.G., 1976, Geophys. J. R. Astr. Soc., 46, 109.

    Google Scholar 

  • Sasao, T., Okamoto, I., and Sakai, S., 1977, Publ. Astron. Soc. Japan, 29, 83.

    ADS  Google Scholar 

  • Sasao, T., Okubo, S., and Saito, M., 1980, Proc. IAU Symp. 78, Nutation and the Earth’s Rotation, E.P. Fedorov, M.L. Smith and PL. Bender (eds.), Reidel, Dordrecht, p. 165.

    Google Scholar 

  • Sasao, T., and Wahr, J.M, 1981, Geophys. J. R. Astr. Soc., 64, 729.

    ADS  MATH  Google Scholar 

  • Sato, T., 1984, Proc. Symp. Relativistic Framework and New Techniques in Astrometry and Geodesy, Kashima, Japan, 547.

    Google Scholar 

  • Scidelmann, P.K., 1982, Celes. Mech., 27, 79.

    Article  ADS  Google Scholar 

  • Sludsky, F., 1896, Bull. Soc. Natur. Moscou, 9, 285.

    Google Scholar 

  • Smith, M.L., 1974, Geophys. J. R. Astr. Soc., 37, 491.

    MATH  Google Scholar 

  • Smith, M.L., 1976, J. Geophys. Res., 81, 3055.

    Article  ADS  Google Scholar 

  • Smith, M.L., 1977, Geophys. J. R. Astr. Soc., 50, 103.

    ADS  Google Scholar 

  • Smith, M.L., and Dahlen, RA., 1981, Geophys. J. R. Astr. Soc., 64, 223.

    ADS  MATH  Google Scholar 

  • Standish, E.M., 1981, Astron. Astrophys., 101, L18.

    ADS  Google Scholar 

  • Toomre, A., 1974, Geophys. J. R. Astr. Soc., 38, 335.

    ADS  Google Scholar 

  • Wahr, J.M., 1981a, Geophys. J. R. Astr. Soc., 64, 651.

    ADS  MATH  Google Scholar 

  • Wahr, J.M., 1981b, Geophys. J. R. Astr. Soc., 64, 705.

    ADS  MATH  Google Scholar 

  • Wahr, J.M., 1981c, Geophys. J. R. Astr. Soc., 64, 677.

    ADS  MATH  Google Scholar 

  • Wahr, J.M., and Bergen, Z., 1986, Geophys. J. R. Astr. Soc., 87, 633.

    ADS  Google Scholar 

  • Wahr, J.M., and Sasao, T., 1981, Geophys. J. R. Astr. Soc., 64, 747.

    ADS  MATH  Google Scholar 

  • Wako, Y., 1970, Publ. Astr. Soc. Japan, 22, 525.

    ADS  Google Scholar 

  • Wang, C.Y., 1972, J. Geophys. Res., 77, 4318.

    Article  ADS  Google Scholar 

  • Whittaker, E.T., 1964, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, p. 144.

    Google Scholar 

  • Woolard, E.W., 1953, Astron. Papers Amer. Ephemeris, 15, pt. 1.

    Google Scholar 

  • Yokoyama, K., 1976, Astron. Astrophys., 47, 333.

    ADS  Google Scholar 

  • Zürn, W., Rydelek, P.A., and Richter, B, 1986, Proc. 10th Int. Symp. Earth Tides (ed. R. Vierira), Conserjo Superior de Investigaciones Cientificas, Madrid.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tokyo Astronomical Observatory, Mitaka, Tokyo, Japan

    Hiroshi Kinoshita

  2. International Latitude Observatory of Mizusawa, Mizusawa, Iwate, Japan

    Tetsuo Sasao

Authors
  1. Hiroshi Kinoshita
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tetsuo Sasao
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. CERGA, Grasse, France

    Jean Kovalevsky

  2. Ohio StateUniversity, Columbus, USA

    Ivan I. Mueller

  3. Polish Academy of Sciences, Warsaw, Poland

    Barbara Kolaczek

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Kluwer Academic Publishers

About this chapter

Cite this chapter

Kinoshita, H., Sasao, T. (1989). Theoretical Aspects of the Earth Rotation. In: Kovalevsky, J., Mueller, I.I., Kolaczek, B. (eds) Reference Frames. Astrophysics and Space Science Library, vol 154. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0933-5_9

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0933-5_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6909-0

  • Online ISBN: 978-94-009-0933-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation