User menu

On the IAU 2000/2006 precession–nutation and comparison with other models and VLBI observations

  1. Bourda G., Capitaine N.: Precession, nutation, and space geodetic determination of the Earth’s variable gravity field. Astron. Astrophys. 428, 691–702 (2004)
  2. Bretagnon P., Fienga A., Simon J.-L.: Expressions for precession consistent with the IAU 2000A model. Considerations about the ecliptic and the Earth Orientation Parameters. Astron. Astrophys. 400, 785–790 (2003)
  3. Brumberg, V.: Essential Relativistic Celestial Mechanics. Adam Hilger, Bristol (1991)
  4. Buffett, B.A., Mathews, P.M., Herring, T.A.: Modeling of nutation and precession: effects of electromagnetic coupling. J. Geophys. Res. 107, B4, ETG 5-1–5-14 (2002). doi: 10.1029/2000JB000056
  5. Capitaine N., Wallace P.T., Chapront J.: Expressions for IAU 2000 precession quantities. Astron. Astrophys. 412, 567–586 (2003)
  6. Capitaine, N., Mathews, P.M., Dehant, V., Wallace, P.T., Lambert, S.: Comparisons of precession-nutation models. In: Finkelstein, A., Behrend, D. (eds.) Proceedings of the fifth IVS General Meeting, Russian Science Series pp. 211–220 (2008)
  7. Chapront J., Chapront-Touzé M., Francou G.: A new determination of lunar orbital parameters, precession constant and tidal acceleration from LLR measurements. Astron. Astrophys. 387, 700–709 (2002)
  8. Cheng M., Tapley B.D.: Variations in the Earth’s oblateness during the past 28 years. J. Geophys. Res. 109(B9), B09402 (2004). doi: 10.1029/2004JB003028
  9. Fienga A., Manche H., Laskar J., Gastineau M.: INPOP06: a new numerical planetary ephemeris. Astron. Astrophys. 477, 315–327 (2008)
  10. Fukushima T.: New precession formulas. Astron. J. 126(1), 494–534 (2003)
  11. Hilton J.L., Capitaine N., Chapront J. et al.: Report of the International Astronomical Union Division I working group on precession and the ecliptic. Celest. Mech. Dyn. Astron. 94, 351–367 (2006)
  12. IERS Conventions 2003, IERS Technical Note 32. McCarthy, D.D., Petit, G. (eds.) Verlag des Bundesamts für Kartographie und Geodäsie, Frankfurt am Main (2004)
  13. Koot L., Rivoldini A., de Viron O., Dehant V.: Estimation of Earth interior parameters from a Bayesian inversion of very long baseline interferometry nutation time series. J. Geophys. Res. 113(B8), B08414 (2008)
  14. Krasinsky G.: Numerical theory of rotation of the deformable Earth with the two-layer fluid core. Part 1: Mathematical model. Celest. Mech. Dyn. Astron. 96, 169–217 (2006)
  15. Krasinsky, G.: Secular decrease of the Earth’s ellipticity from the analysis of VLBI data of 1984–2006, and the long-term systematic errors of the precession-nutation models IAU 2000 and IAU 2006. In: Finkelstein, A., Behrend, D. (eds.) Proceedings of the fifth IVS General Meeting, Russian Science Series, pp. 211–220 (2008a)
  16. Krasinsky G.: Earth’s precession-nutation motion: the error analysis of the theories IAU 2000 and IAU 2006 applying the VLBI data of the years 1984–2006. Celes. Mech. Dyn. Astron. 101, 325–336 (2008b)
  17. Krasinsky G., Vasilyev M.V.: Numerical theory of rotation of the deformable Earth with the two-layer fluid core. Part 2: fitting to VLBI data. Celest. Mech. Dyn. Astron. 96, 219–237 (2006)
  18. Lambert, S.B., Mathews, P.M.: Second-order torque on the tidal redistribution and the Earth’s rotation. Astron. Astrophys. 453, 363–369 (2006), and Erratum, Astron. Astrophys. 481(3), 883–884 (2008)
  19. Mathews, P. M., Lambert, S.B.: Effect of mantle and ocean tides on the Earth’s rotation rate. Astron. Astrophys. Accepted (2008). doi: 10.1051/0004-6361:200810343
  20. Mathews, P.M., Herring, T.A., Buffett B.A.: Modeling of nutation and precession: New nutation series for nonrigid Earth and insights into the Earth’s interior. J. Geophys. Res. 107, B4, ETG 3-1–3-26 (2002). doi: 10.1029/2001JB000390
  21. Mathews, P.M., Capitaine, N., Dehant, V.: Comments on the ERA-2005 numerical theory of Earth rotation, arXiv:0710.0166 (2007)
  22. Sasao T., Okubo S., Saito M.: A simple theory on dynamical effects of stratified fluid core upon nutational motion of the earth. In: Federov, E.P., Smith, M.L., Bender, P.L. (eds) Proceedings of the IAU Symposium 78, pp. 165–183. D. Reidel Publishing Co., Dordrecht (1980)
  23. Souchay J., Loysel B., Kinoshita H., Folgueira M.: Corrections and new developments in rigid Earth nutation theory. III. Final tables “REN-2000" including crossed-nutation and spin-orbit coupling effects. Astron. Astrophys. 135, 111–131 (1999)
  24. Wahr J., Bergen Z., The effects of mantle anelasticity on nutations, earth tides, and tidal variations in rotation rate, 10.1111/j.1365-246x.1986.tb06642.x
  25. Williams J.G.: Contributions to the Earth’s obliquity rate, precession and nutation. Astron. J. 108(2), 711–724 (1994)
Bibliographic reference Capitaine, N. ; Mathews, P. M. ; Dehant, Véronique ; Wallace, P. T. ; Lambert, S. B.. On the IAU 2000/2006 precession–nutation and comparison with other models and VLBI observations. In: Celestial Mechanics and Dynamical Astronomy : an international journal of space dynamics, Vol. 103, no.2, p. 179-190 (2009)
Permanent URL http://hdl.handle.net/2078.1/163179