EGU21-14236, updated on 04 Mar 2021
https://doi.org/10.5194/egusphere-egu21-14236
EGU General Assembly 2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

Implications of second order nutation terms in IAU2000 framework

Alberto Escapa1,2, Juan Getino3, Jose Manuel Ferrándiz2, and Tomás Baenas4
Alberto Escapa et al.
  • 1Dept. of Aerospace Engineering, University of León, E-24071 León, Spain
  • 2Dept. of Applied Mathematics, University of Alicante, P.O. 99, E-03080, Alicante, Spain
  • 3Dept. of Applied Mathematics, University of Valladolid, E-47011, Valladolid, Spain
  • 4Dept. of Sciences, University Centre of Defense, MDE-UPCT, E- 30720 Murcia, Spain

IAU2000 (Mathews et al. 2002) incorporates some second order terms in the sense of perturbation theories in its formulation. In particular, the second order Poisson amplitudes independent of the Earth structure. They are borrowed from the rigid Earth theory REN2000 by Souchay et al. (1999). Their inclusion, however, is inconsistent (Escapa et al. 2020) since they are convolved with the MHB2000 transfer function, rendering them Earth dependent.

In that IAU2000 scheme, second order contributions depending on the Earth structure are totally ignored, as it is the case in the rigid Earth theory (Souchay et al. 1999). That structure dependent terms affect both a part of Poisson second order amplitudes and all the Oppolzer ones. Getino et al. (2021) have shown that the numerical contribution of the ignored Poisson terms is not negligible. In addition, the dependence of the respective amplitudes on the fluid core present quite different features from those of first order terms.

These facts pose some significant problems in the application of IAU2000 transfer function and the estimation of basic Earth parameters when second order terms are included, which are discussed in this communication.

How to cite: Escapa, A., Getino, J., Ferrándiz, J. M., and Baenas, T.: Implications of second order nutation terms in IAU2000 framework, EGU General Assembly 2021, online, 19–30 Apr 2021, EGU21-14236, https://doi.org/10.5194/egusphere-egu21-14236, 2021.

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