Towards Sub-Microarsecond Rigid Earth Nutation Series in the Hamiltonian Theory
Abstract
The nonrigid Earth nutation series adopted by the International Astronomical Union (IAU) are based on the works of Kinoshita (1977) and Wahr (1979). In Kinoshita's work, 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 Wahr's work, 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 measurement techniques, such as Very Long Baseline Interferometry (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 this paper, and starting from Kinoshita's work (1977), the authors 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). Sections discuss the following topics: the first second-order theory of the rotation of a rigid Earth, new developments in rigid Earth nutation theory, the effects on nutation of the non-zonal harmonics of third and fourth degree, the sub-microarcsecond rigid Earth nutation series REN 20006, and the diurnal and sub-diurnal nutations of REN 2000.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 2000
- Accession Number
- ADA435819
Entities
People
- J. Souchay
- M. Folgueira
Organizations
- Paris Observatory, PSL University