Skip to main content
Log in

Comparison of new nutation series with numerical integration

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

Abstract

To check the results given by the new tables of the nutation for the rigid Earth model in (Kinoshita and Souchay, 1990), we perform a calculation of this nutation by numerical integration, using the basic equations of Kinoshita (1977). Results show very small long period residuals, with a discrepancy of 0.06 mas sin Ω in longitude, -0.04 mas cos Ω in obliquity, without out-of-phase components. Moreover, the total residuals of short period do not exceed 0.1 mas in longitude, 0.06 mas in obliquity. All these results are considerably better than those found by previous numerical integrations, thus confirming the validity of the new tables.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Kinoshita, H.: 1977, Cel. Mech. 15, 277

    Google Scholar 

  • Kinoshita, H., Souchay, J.: 1990, Cel. Mech. 48, 187

    Google Scholar 

  • Kubo, Y., Fukushima, T.: 1988, in The Earth's Rotation and Reference Frames for Geodesy and Geodynamics ed. by A.K. Babcock and G.A. Wilkins, 331

  • Newhall, X.X., Standish, E.M., and Williams: 1983, Asir. and Asir. 58, 1

    Google Scholar 

  • Schastok, J., Soffel, M., Ruder, H.: 1987, ‘Numerical Solution for the Rotation of the Rigid Earth Model’, In Proc. IUGG symp. U4

  • Schastok, J., Soffel, M., Ruder, H.: 1989, Cel. Mech. 47, 219

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Souchay, J., Kinoshita, H. Comparison of new nutation series with numerical integration. Celestial Mech Dyn Astr 52, 45–55 (1991). https://doi.org/10.1007/BF00048586

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00048586

Key words

Navigation