Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001acasn..42...81h&link_type=abstract
Acta Astronomical Sinica, vol.42, no.1, p.81-87.
Astronomy and Astrophysics
Astronomy
Nutation, Earth Rotation, Boundary Condition
Scientific paper
The scalar equations of infinitesimal elastic-gravitational motion for a rotational, slightly elliptical Earth are always used to study the Earth's nutation and tides theoretically, while the determination of the integration of the equations depends, in a certain extent, upon the choice of a set of boundary conditions. In this paper, a continuous quantity related to the displacement is transformed from the elliptical reference boundary to the corresponding effective spherical domain, and converted from vector (or tensor) form to scalar form by generalized surface spherical harmonics expansion. All the related components, including the displacement field (or the stress tensor field), are then decomposed into the poloidal and toroidal fields. After being truncated, the boundary conditions are derived, at last, in scalar ordinary differential format. The procedure of the derivation is in the order of the ellipicity and in full details.
huang Chia-Ling
Jin Wen-Jing
Liao X.-H.
Zhu Yao-Zhong
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