Construction of the Non-Rigid Earth Rotation Series

Pashkevich, V.

doi:10.2478/v10018-009-0002-y

Abstract

Last years a lot of attempts to derive a high-precision theory of the non-rigid Earth rotation are carried out. For these purposes different transfer functions are used. Usually these transfer functions are applied to the series representing the nutation in the longitude and the obliquity of the rigid Earth rotation with respect to the ecliptic of date. The aim of this investigation is a construction of new high-precision non-rigid Earth rotation series (SN9000), dynamically adequate to the DE404/LE404 ephemeris over 2000 time span years, which are presented as functions of the Euler angles Ψ, θ and φ with respect to the fixed ecliptic plane and equinox J2000.0.

References

Bretagnon P., Francou G. (1988) Planetary theories in rectangular and spherical variables, Astron. Astrophys., Vol. 202, pp. 309-315.
Search in Google Scholar
Bretagnon P., Francou G., Rocher P., Simon J. L. (1998) SMART97: a new solution for the rotation of the rigid Earth, Astron. Astrophys., Vol. 329, pp. 329-338.
Search in Google Scholar
Bretagnon P., Mathews P. M., Simon J. L. (1999) Non Rigid Earth Rotation, Proc. Journees Systèmes de Référence Spatio-Temporels 1999, eds. Soffel M., Capitaine N., Dresden 1999, pp. 73-76.
Search in Google Scholar
Brumberg V. A., Bretagnon P. (2000) Kinematical Relativistic Corrections for Earth's Rotation Parameters, Proc. of IAU Colloquium 180, eds. K. Johnston D. McCarthy B. Luzum, and G. Kaplan, U. S. Naval Observatory, pp. 293-302.
Search in Google Scholar
Dehant V. and Defraigne P. (1997) New transfer functions for nutations of a non-rigid Earth, J. Geophys. Res., 102, pp.27659-27688.10.1029/97JB02347
Search in Google Scholar
Mathews P. M., Herring T. A., and Buffett B. A. (2002) Modeling of nutation and precession: New nutation series for nonrigid Earth and insights into the Earth's Interior, J. Geophys. Res., 107, B4, 10.1029/2001JB000390.10.1029/2001JB000390
Search in Google Scholar
Eroshkin G. I., Pashkevich V. V., Brzezinski A. (2004) Numerical analysis of the rigid Earth rotation with the quadruple precision, Artificial Satellites, Vol. 39, No. 4, pp. 291-304.
Search in Google Scholar
Pashkevich V. V. and Eroshkin G. I. (2004). Spectral analysis of the numerical theory of the rigid Earth rotation, Proc. Journees Systèmes de Référence Spatio-Temporels 2004, ed. Capitaine N., Paris 2004, pp. 82-87.
Search in Google Scholar
Pashkevich V. V. and Eroshkin G. I. (2005) Choice of the optimal spectral analysis scheme for the investigation of the Earth rotation problem, Proc. Journees Systèmes de Référence Spatio-Temporels 2005, eds. Brzezinski A., Capitaine N. and Kolaczek B., Warsaw 2005, pp. 105-109.
Search in Google Scholar
Pashkevich V. V., Eroshkin G. I. (2005) Application of the spectral analysis for the mathematical modelling of the rigid Earth rotation, Artificial Satellites, Vol. 40, No. 4, pp. 251-259.
Search in Google Scholar
Shirai T. and Fukushima T. (2001) Construction of a new forced nutation theory of the nonrigid Earth, The Astron. Journal, 121, pp.3270-3283.
Search in Google Scholar
Wahr J. M. (1981) The forced nutations of an elliptical, rotating, elastic and oceanless Earth, Geophys. J. R. Astron. Soc., 64, pp.705-727.
Search in Google Scholar

Construction of the Non-Rigid Earth Rotation Series

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