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Towards sub-microarsecond rigid Earth nutation series in the Hamiltonian theory

Published online by Cambridge University Press:  12 April 2016

J. Souchay  and
M. Folgueira
J. Souchay
Affiliation:
Observatoire de Paris, 61 Avenue de l’Observatoire, 75014 Paris, France
M. Folgueira
Affiliation:
Observatoire de Paris, 61 Avenue de l’Observatoire, 75014 Paris, France

Abstract

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The nonrigid Earth nutation series adopted by the IAU (International Astronomical Union) are based on the works of Kinoshita (1977) and Wahr (1979). In the first one, the rigid Earth nutation series were calculated by the application of the Hamiltonian canonical equations to the rotation of the rigid and elliptical Earth. In the second one, the transfer function for the nutations of an elliptical, elastic and oceanless Earth with fluid core and a solid inner core was obtained. The nonrigid Earth nutation coefficients were derived from the convolution between Wahr’s transfer function and Kinoshita’s rigid Earth nutation series.

The improvement in the accuracy of the techniques as a Very Long Baseline (VLBI), Lunar Laser Ranging (LLR) and Global Positioning System (GPS) has led in this decade to the extension of Kinoshita’s theory and more precise determination of Wahr’s transfer function. In the present paper and starting from Kinoshita’s work (1977), we present the different steps carried out, during this last decade, to obtain the sub-microarcsecond rigid Earth nutation series REN 2000 from the Hamiltonian study of the rotation of a rigid Earth (Souchay et al., 1999).

Type
Section 2. Improved Definitions and Models
Information
International Astronomical Union Colloquium , Volume 180: Towards Models and Constants for Sub-Microarcsecond Astrometry , March 2000 , pp. 196 - 200
Copyright
Copyright © US Naval Observatory 2000

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