Skip to main content

Relativistic Theory of Celestial Reference Frames

  • Chapter
Reference Frames

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

Abstract

At present, the general theory of relativity (GRT) should be considered as the necessary framework for the description of the gravitational field and the construction of astronomical reference frames. In contrast with Newtonian mechanics one cannot introduce in GRT the global Galilean (inertial) coordinates. The coordinates of GRT are in general not unique and equally admissible. This results in the intrusion of coordinate-dependent, unmeasurable quantities into astronomical ephemeris. For example, in ephemeris astronomy, in order to use the well-known numerical planetary and lunar theories of motion DE-200/LE-200 referred to the barycentric coordinate time it is necessary to take into account the type of the space-time coordinates inherent to these theories.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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.

Similar content being viewed by others

Bibliography

  • Anderson, J.L. and Decanio, T.C., 1975, Gen. Rel. Grav., 6, 197.

    Article  ADS  MATH  Google Scholar 

  • Ashby, N. and Bertotti, B, 1986, Phys. Rev., D 34, 2246.

    Google Scholar 

  • Bertotti, B., 1986, in ‘Relativity in Celestial Mechanics and Astrometry’, J. Kovalevsky and V.A. Brumberg (eds), Reidel Publ.Co., Dordrecht, 233.

    Google Scholar 

  • Boucher, C., 1986, in ‘Relativity in Celestial Mechanics and Astrometry’, J. Kovalevsky and V.A. Brumberg (eds), Reidel Publ.Co., Dordrecht, 241.

    Google Scholar 

  • Brumberg, V.A., 1972, ‘Relativistic Celestial Mechanics’, Nauka, Moscow (in Russian).

    MATH  Google Scholar 

  • Brumberg, V.A., 1986, in ‘Astrometric Techniques’, H.K. Eichhorn and R.J. Leacock (eds), Reidel Publ.Co., Dordrecht, 19.

    Chapter  Google Scholar 

  • Damour, T., 1983, in ‘Gravitational Radiation’, N. Deruelle and T. Piran (eds), North-Holland, Amsterdam, 59.

    Google Scholar 

  • Damour, T., 1987, in ‘300 Years of Gravitation’, S.W. Hawking and W. Israel (eds), Cambridge Univ. Press, 128.

    Google Scholar 

  • D’Eath, P.D., 1975, Phys. Rev., D 11, 1387.

    Google Scholar 

  • Ehlers, J., 1980, Ann. N.Y. Acad. Sci., 336, 279.

    Article  ADS  Google Scholar 

  • Fock, V.A., 1959, ‘The Theory of Space, Time and Gravitation’, Pergamon Press, London.

    MATH  Google Scholar 

  • Fujimoto, M.K. and Grafarend, E., 1986, in ‘Relativity in Celestial Mechanics and Astrometry’, J. Kovalevsky and V.A. Brumberg (eds), Reidel Publ.Co., Dordrecht, 269.

    Google Scholar 

  • Fukushima, T., Fujimoto, M.K., Kinoshita, H. and Aoki, S., 1986a, in ‘Relativity in ‘Celestial Mechanics and Astrometry’, J. Kovalevsky and V.A. Brumberg (eds), Reidel Publ.Co., Dordrecht, 145.

    Google Scholar 

  • Fukushima, T., Fujimoto, M.K., Kinoshita, H. and Aoki, S., 1986b, Celestial Mechanics, 38, 215.

    Article  ADS  Google Scholar 

  • Futamase, T. and Schutz, B.F., 1983, Phys. Rev., D 28, 2363.

    Google Scholar 

  • Grishchuk, L.P. and Kopejkin, S.M., 1986, in ‘Relativity in Celestial Mechanics and Astrometry’, J. Kovalevsky and V.A. Brumberg (eds), Reidel Publ.Co., Dordrecht, 19.

    Google Scholar 

  • Guinot, B., 1986, Celestial Mechanics, 38, 155.

    Article  ADS  Google Scholar 

  • Hellings, R.W., 1986, Astron. J., 91, 650.

    Article  ADS  Google Scholar 

  • Japanese Ephemeris, 1985, Basis of the New Japanese Ephemeris, Tokyo.

    Google Scholar 

  • Kates, R.E., 1981, Ann. Phys., USA, 132, 1.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Kopejkin, S.M., 1985, Astron. J. USSR, 62, 889 (in Russian).

    ADS  Google Scholar 

  • Kopejkin, S.M., 1987, Trans. Sternberg State Astron. Inst, 59, 53 (in Russian).

    ADS  Google Scholar 

  • Kovalevsky, J. and Mueller, 1981, in ‘Reference Coordinate Systems for Earth Dynamics’, E.M. Gaposchkin and B. Kolaczek (eds), Reidel Publ.Co., Dordrecht, 375.

    Google Scholar 

  • Kovalevsky, J., 1985, Bull. Astron. Obs. Roy. Belgique, 10, 87.

    Google Scholar 

  • Lestrade, J.F. and Chapront-Touzé, M., 1982, Astron. Astrophys., 116, 75.

    ADS  MATH  Google Scholar 

  • Martin, C.F., Torrence M.H. and Misner, C.W., 1985, J. Geophys. Research, 90, 9403.

    Article  ADS  Google Scholar 

  • Mast, C.B. and Strathdee, J., 1959, Proc. Roy. Soc., A 252, 476.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Misner, C.W., Thorne, K.S. and Wheeler, J.A., 1973, ‘Gravitation’, Freeman, San Francisco.

    Google Scholar 

  • Moeller, C., 1972, ‘The Theory of Relativity’, Clarendon Press, Oxford.

    Google Scholar 

  • Mueller, I.I., 1981, in ‘Reference Coordinate Systems for Earth Dynamics’, E.M. Gaposchkin and B. Kolaczek (eds), Reidel Publ.Co., Dordrecht, 1.

    Google Scholar 

  • Murray, C.A., 1983, ‘Vectorial Astrometry’, Adam Hilger, Bristol.

    Google Scholar 

  • Ni, W.T. and Zimmermann, M., 1978, Phys. Rev., D 17, 1473.

    ADS  Google Scholar 

  • Pavlov, N.V., 1984a, Astron. J., USSR, 61, 385 (in Russian).

    ADS  Google Scholar 

  • Pavlov, N.W., 1984b, Astron. J., USSR, 61, 600 (in Russian).

    ADS  Google Scholar 

  • Podobed, V.V. and Nesterov, V.V., 1982, ‘General Astrometry’, Nauka, Moscow (in Russian).

    Google Scholar 

  • Suen, W.M., 1986, Phys. Rev., D 34, 3617.

    MathSciNet  ADS  Google Scholar 

  • Synge, J.L., 1960, ‘Relativity: The General Theory’, North-Holland.Publ.Co.

    MATH  Google Scholar 

  • Thome, K.S. and Hartle, J.B., 1985, Phys. Rev., D 31, 1815.

    Google Scholar 

  • Zhang, X.H., 1986, Phys. Rev., D 34, 991.

    MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Kluwer Academic Publishers

About this chapter

Cite this chapter

Brumberg, V.A., Kopejkin, S.M. (1989). Relativistic Theory of Celestial Reference Frames. 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_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0933-5_6

  • 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