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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 436))

Abstract

A reference system is a theoretical concept of coordinates, and includes the time and the standards necessary to specify the bases for giving positions and motions in the system. There are celestial and terrestrial reference systems

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Notes

  1. 1.

    A detailed discussion of time scales will be given in Sect. 3.4.

  2. 2.

    The Astronomical Almanac Online, http://asa.usno.navy.mil or http://asa.hmnao.com.

  3. 3.

    We will elaborate on this time scale in Sect. 3.4.

  4. 4.

    Bretagnon, 2001, private communication.

  5. 5.

    The IERS, http://www.iers.org.

  6. 6.

    Naval Observatory Vector Astrometry Software (NOVAS) , http://www.usno.navy.mil/USNO/astronomical-applications/software-products/novas/.

  7. 7.

    IAU Standards of Fundamental Astronomy (SOFA) Software Collection, http://www.iausofa.org/.

  8. 8.

    Available at ftp://tai.bipm.org/iers/conv2010/.

References

  • Altamini, S.P.Z., Boucher, C.: ITRF2000: A new release of the International Terrestrial Reference Frame for Earth science application. J. Geophys. Res. 107 (B10), 2214 (2002)

    ADS  Google Scholar 

  • Ashby, N., Bertotti, B.: Relativistic effects in local inertial frames. Phys. Rev. D 34 (8), 2246 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  • Boucher, C., Altamimi, Z.: ITRS, PZ-90 and WGS-84: Current realizations and the related transformation parameters. J. Geodesy 75 (11), 613–619 (2001)

    Article  ADS  Google Scholar 

  • Boykov, V.V., Galazin, V.F., Kaplan, B.L., Maksimov, V.G., Bazlov, Y.A.: Experience in developing the PZ-90 geocentric coordinate system. Geod. Kartogr. 11, 17–21 (1993)

    Google Scholar 

  • Capitaine, N., Wallace, P.T.: High precision methods for locating the celestial intermediate pole and origin. Astron. Astrophys. 450 (2), 855–872 (2006)

    Article  ADS  Google Scholar 

  • Cutri, R., Skrutskie, M., Van Dyk, S., Beichman, C., Carpenter, J., Chester, T., Cambresy, L., Evans, T., Fowler, J., Gizis, J., et al.: 2MASS all sky catalog of point sources. NASA/IPAC Infrared Science Archive (2003)

    Google Scholar 

  • ESA: The Hipparcos and Tycho Catalogues. European Space Agency SP-1200, Noordwijk, Netherlands (1997)

    Google Scholar 

  • Harada, W., Fukushima, T.: Harmonic decomposition of time ephemeris TE405. Astron. J. 126 (5), 2557 (2003)

    Article  ADS  Google Scholar 

  • Huang, C., Ries, J.C., Tapley, B.D., Watkins, M.M.: Relativistic effects for near-Earth satellite orbit determination. Celest. Mech. Dyn. Astron. 48 (2), 167–185 (1990)

    ADS  MATH  Google Scholar 

  • IAU-Resolutions: Transactions of the IAU, vol XXIVB. International Astronomical Union, Kluwer, Dordrecht, The Netherlands (2000)

    Google Scholar 

  • IERS: Technical Note 35. Frankfurt am Main. Verlag des Bundsesamts fur Kattographie und Geodasie (2009)

    Google Scholar 

  • IERS-Conventions: Technical Note 36. Frankfurt am Main. Verlag des Bundsesamts fur Kattographie und Geodasie (2010)

    Google Scholar 

  • IERS-Conventions-2003: Technical Note 32. International Earth Rotation Service, Frankfurt am Main. Verlag des Bundsesamts fur Kattographie und Geodasie (2004)

    Google Scholar 

  • Irwin, A.W., Fukushima, T.: A numerical time ephemeris of the Earth. Astron. Astrophys. 348, 642–652 (1999)

    ADS  Google Scholar 

  • Kaplan, G.: The IAU resolutions on astronomical reference systems, time scales, and Earth rotation models, explanation and implementation. US Naval Observatory Circular (179) (2005)

    Google Scholar 

  • Klioner, S.A., Soffel, M.H.: Relativistic celestial mechanics with PPN parameters. Phys. Rev. D 62 (2), 024,019 (2000)

    Article  MathSciNet  Google Scholar 

  • Kopeikin, S., Vlasov, I.: Parametrized post-Newtonian theory of reference frames, multipolar expansions and equations of motion in the n-body problem. Phys. Rep. 400 (4), 209–318 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  • Leick, A.: GPS Satellite Surveying, 3rd edn. Wiley, New York (2003)

    Google Scholar 

  • Lense, J., Thirring, H.:  Uber den einfluss der eigenrotation der zentralk orper auf die bewegung der planeten und monde nach der einsteinschen gravitationstheorie. Phys. Z. 19, 156–163 (1918)

    Google Scholar 

  • Merrigan, S.E.W.R.M., Saffel, J.: A refinement to the World Geodetic System 1984 reference frame. In: 15th International Technical Meeting of the Satellite Division of the Institute of Navigation, Institute of Navigation, Portland OR, pp. 1519–1529 (2002)

    Google Scholar 

  • Mitrikas, V., Revnivykh, S., Bykhanov, E.: WGS-84/PZ-90 transformation parameters determination based on laser and ephemeris long-term GLONASS orbital data processing. In: Proceedings of the ION/GPS, pp. 1625–1635 (1998)

    Google Scholar 

  • Nelson, R.: Guide to Geotemporal Sciences: Issues, Principles and References. Satellite Engineering Research Corporation, Bethesda (2000)

    Google Scholar 

  • Ries, J.C., Huang, C., Watkins, M.M., Tapley, B.D.: Orbit determination in the relativistic geocentric reference frame. J. Astronaut. Sci. 39, 173–181 (1991)

    ADS  Google Scholar 

  • Soffel, M., Klioner, S.A., Petit, G., Wolf, P., Kopeikin, S.M., Bretagnon, P., Brumberg, V.A., Capitaine, N., Damour, T., Fukushima, T., et al.: The IAU 2000 resolutions for astrometry, celestial mechanics, and metrology in the relativistic framework: explanatory supplement. Astron. J. 126 (6), 2687 (2003)

    Article  ADS  Google Scholar 

  • Seidelmann, P.K., Seago, J.: Relativistically correct celestial reference systems. In: AIAA/AAS Astrodynamics Specialist Conference and Exhibit. Lake Tahoe, CA, Paper AAS 05-352 (2005)

    Google Scholar 

  • Urban, S.E., Seidelmann, P.K. (eds.): Explanatory Supplement to the Astronomical Almanac. University Science Books, Mill Valley, California (2012)

    Google Scholar 

  • Yang, T.J.Y., Han, C.: COMPASS/BeiDou Coordinate and Time Reference Systems, Global Navigation Satellite Systems. Report of a Joint Workshop of the National Academy of Engineering and the Chinese Academy of Engineering (2012)

    Google Scholar 

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Gurfil, P., Seidelmann, P.K. (2016). Reference Systems and Relativity. In: Celestial Mechanics and Astrodynamics: Theory and Practice. Astrophysics and Space Science Library, vol 436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-50370-6_3

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  • DOI: https://doi.org/10.1007/978-3-662-50370-6_3

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