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Measurement Techniques
Published in: Measurement Techniques 10/2015

01-01-2015 | Fundamental Problems in Metrology

Estimate of the Error Owing to Neglect of the Earth’s Triaxiality in the Transfer Function for Nutation Angle Calculations

Author: S. L. Pasynok

Published in: Measurement Techniques | Issue 10/2015

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Abstract

The error owing to the use of a transfer function for a biaxial earth in calculating the nutation angles on a nanosecond accuracy level is estimated. The corresponding errors in the absolute magnitudes of the nutation angles for different amounts of dynamic compression of the earth’s core are obtained. The results are used to construct a new model for nutation and the uncertainty budget of this model is analyzed.
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Literature
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P. M. Matthews, T. A. Herring, and B. A. Buffet, “Modeling of nutation and precession: New nutation series for nonrigid Earth and insights into the Earth’s interior,” J. Geophys. Res., 107, Iss. B4, (2002), DOI: 10.​1029/​2001JB000390.
2.
J. Getino, “Ferrandiz effects of dissipation and liquid core on forced nutations in Hamiltonian theory,” Geophys. J. Int., 142, 703–715 (2000).ADSCrossRef
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V. E. Zharov and S. L. Pasynok, “Theory of nutation for an inelastic earth,” Astron. Zh., 78, No. 11, 1034–1048 (2001).
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G. Krasinsky, “Numerical theory of rotation of the deformable earth with the two-layer fluid core. Pt. 1: Mathematical model,” CMDA, 96, 169–217 (2006).ADSCrossRefMATHMathSciNet
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G. Krasinsky and M. Vasilyev, “Numerical theory of rotation of the deformable earth with the two-layer fluid core. Pt. 2: Fitting to VLBI data,” CMDA, 96, 219–237 (2006).ADSCrossRefMATHMathSciNet
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C. L. Huang, W. J. Jin, and X. H. Liao, “A new nutation model of a non-rigid earth with ocean and atmosphere,” Geophys. J. Int., 146, 126–133 (2001).ADSCrossRef
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P. K. Seidelmann, “1980 IAU theory of nutation: the final report of the IAU working group on nutation,” Celest. Mech., 27, 79–106 (1982).ADSCrossRefMathSciNet
8.
S. L. Pasynok, “Accounting for triaxiality in the theory of nutation of an absolutely rigid earth,” Vestn. MGU. Fizika. Astronomiya, pp. 63–65 (2003).
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W. Petrachenko et al., “Design aspects of the VLBI2010 system,” Progress Rep. IVS VLBI2010 Commit., NASA/TM-2009-214180 (2009).
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P. M. Matthews and P. Bretagnon, “Polar motions equivalent to high frequency nutations for a nonrigid earth with anelastic mantle,” Astron. Astrophys., 400, 1113 (2003).ADSCrossRef
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M. S. Molodensky, “The theory of nutation and diurnal earth tides,” Comm. Obs. Roy. Belg., 288, 25–56 (1961).
12.
T. Sasao, S. Okubo, and M. Saito, “A simple theory of the dynamical effects of a stratified fluid core on nutational motion of the earth,” in: Nutation and the Earth’s Rotation, E. P. Fedorov et al. (eds.) (1980), pp. 165–183.
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G. Petit and B. Luzum (eds.), IERS Conventions (2010): IERS Technical Note N. 36, Verlag des Bundesamts für Kartographie und Geodäsie, Frankfurt am Main (2010), p. 58.
Metadata
Title
Estimate of the Error Owing to Neglect of the Earth’s Triaxiality in the Transfer Function for Nutation Angle Calculations
Author
S. L. Pasynok
Publication date
01-01-2015
Publisher
Springer US
Published in
Measurement Techniques / Issue 10/2015
Print ISSN: 0543-1972
Electronic ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-015-0586-5

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