Abstract
A highly precise model for the motion of a rigid Earth is indispensable to reveal the effects of non-rigidity in the rotation of the Earth from observations. To meet the accuracy goal of modern theories of Earth rotation of 1 microarcsecond (μas) it is clear, that for such a model also relativistic effects have to be taken into account. The largest of these effects is the so called geodetic precession. In this paper we will describe this effect and the standard procedure to deal with it in modeling Earth rotation up to now. With our relativistic model of Earth rotation (Klioner et al. 2001) we are able to give a consistent post-Newtonian treatment of the rotational motion of a rigid Earth in the framework of General Relativity. Using this model we show that the currently applied standard treatment of geodetic precession is not correct. The inconsistency of the standard treatment leads to errors in all modern theories of Earth rotation with a magnitude of up to 200 μas for a time span of one century.
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References
Bretagnon P, Francou G, Rocher P, Simon JL (1998) SMART97: a new solution for the rotation of the rigid Earth. Astron. Astrophys. 329:329–338
Bretagnon P, Rocher P, Simon JL (1997) Theory of the rotation of the rigid Earth. Astron. Astrophys. 319:305–317
Brumberg VA, Bretagnon P, Francou G (1991) Analytical algorithms of relativistic reduction of astronomical observations. In: Journées 1991: Systèmes de Référence Spatio-temporels, pp 141–148
de Sitter W (1916) Einstein’s theory of gravitation and its astronomical consequences. Mon. Not. R. Astron. Soc. 76:699–728
Klioner SA, Soffel MH, Xu C, Wu X (2001) Earth’s rotation in the framework of general relativity: rigid multipole moments. In: The Celestial Reference Frame for the Future (Proc. of Journées 2007), N. Capitaine (ed.), Paris Observatory, Paris, pp 232–238
Klioner SA, Soffel MH, Le Poncin-Lafitte C (2008) Towards the relativistic theory of precession and nutation. In: Journées 2007: Systèmes de Référence Spatio-temporels, pp 139–142
Klioner SA, Gerlach E, Soffel MH (2010) Relativistic aspects of rotational motion of celestial bodies. In: Klioner SA, Seidelmann PK, Soffel MH (eds.) IAU Symposium 261, pp 112–123
McCarthy DD, Petit G (2004) IERS Conventions (2003). IERS Technical Note No.32, BKG, Frankfurt
Seidelmann PK (1982) 1980 IAU Nutation: The Final Report of the IAU Working Group on Nutation. Celest. Mech. Dyn. Astron. 27:79–106
Soffel MH, Klioner SA, Petit G, Wolf P, Kopeikin SM, Bretagnon P, Brumberg VA, Capitaine N, Damour T, Fukushima T, Guinot B, Huang T, Lindegren L, Ma C, Nordtvedt K, Ries JC, Seidelmann PK, Vokrouhlický D, Will CM, Xu C (2003) The IAU 2000 Resolutions for Astrometry, Celestial Mechanics, and Metrology in the Relativistic Framework: Explanatory Supplement. Astron. J. 126:2687–2706
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Gerlach, E., Klioner, S., Soffel, M. (2012). Consistent Modeling of the Geodetic Precession in Earth Rotation. In: Sneeuw, N., Novák, P., Crespi, M., Sansò, F. (eds) VII Hotine-Marussi Symposium on Mathematical Geodesy. International Association of Geodesy Symposia, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22078-4_46
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DOI: https://doi.org/10.1007/978-3-642-22078-4_46
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