Skip to main content
SpringerLink
Log in

Improved nutation series for the non–rigid earth with a precise adjustment of parameters with nonlinear dependence

  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

Abstract

In this paper, the previous nutation series corresponding to the rotation of a non‐rigid earth composed of a rigid mantle and a liquid core obtained by Getino and Ferrándiz in 1997 are notably improved by using a high performance data fitting method. This method can be applied to many other problems presenting a non‐linear dependence on the free parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  • Dehant, V. et al.: 1998, 'Considerations concerning the non rigid earth nutation series', Celes. Mech. (submitted).

  • Getino, J.: 1995a, 'An interpretation of the core-mantle interaction problem', Geophys. J. Int. 120, 693-705.

    ADS  Google Scholar 

  • Getino, J.: 1995b, 'Forced nutations of a rigid mantle-liquid core earth model in canonical formulation', Geophys. J. Int. 122, 803-814.

    ADS  Google Scholar 

  • Getino, J. and Ferrándiz, J. M.: 1995, 'On the effect of the mantle elasticity on the earth rotation', Celest. Mech. 61, 117-180.

    Article  ADS  Google Scholar 

  • Getino, J. and Ferrándiz, J. M.: 1997a, 'Hamiltonian approach to dissipative phenomena between earth mantle and core, and effects on free nutations', Geophys. J. Int. 130, 326-334.

    ADS  Google Scholar 

  • Getino, J. and Ferrándiz, J. M.: 1997b, 'Effects of dissipation and liquid core on the forced nutations in the hamiltonian theory', Geophys. J. Int. (submitted).

  • Kinoshita, H.: 1977, 'Theory of the rotation of the rigid earth', Celest. Mech. 15, 277-326.

    Article  MathSciNet  ADS  Google Scholar 

  • Mathews, P. M., Buffet, B. A., Herring, T. A. and Shapiro, I. I.: 1991, 'Forced nutations of the earth: Influence of inner core dynamics 2. Numerical results and comparison', J. Geophys. Res. 96, 8243-8257.

    Article  ADS  Google Scholar 

  • Mathews, P. M. and Shapiro, I. I.: 1995, 'Recent advances in nutation studies', Proceeding of Journées 1995, Warsaw, Poland.

  • McCarthy, 1996: IERS Conventions.

  • Stoer, J. and Bulirsch, R: 1980, Introduction to Numerical Analysis, Springer-Verlag, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Grupo de Mecánica Celeste, Departamento de Matemática Aplicada Fundamental, Facultad de Ciencias, Universidad de Valladolid, Prado de la Magdalena s/n, 47005, Valladolid, Spain

    Juan Getino

  2. Grupo de Mecánica Celeste, Departamento de Matemática Aplicada a la Ingeniería, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce s/n, 47011, Valladolid, Spain

    Pablo MartÍn & JosÉ M. Farto

Authors
  1. Juan Getino
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pablo MartÍn
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. JosÉ M. Farto
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Getino, J., MartÍn, P. & Farto, J.M. Improved nutation series for the non–rigid earth with a precise adjustment of parameters with nonlinear dependence. Celestial Mechanics and Dynamical Astronomy 74, 153–162 (1999). https://doi.org/10.1023/A:1008360303986

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008360303986

Search

Navigation