The coupling equations between the nutation and the geomagnetic field in GSH expansion

Details The coupling equations between the nutation and the geomagnetic field in GSH expansion The coupling equations between the nutation and the geomagnetic field in GSH expansion

Sep 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005jsrs.meet...88h&link_type=abstract

In: Journées 2004 - systèmes de référence spatio-temporels. Fundamental astronomy: new concepts and models for high accuracy obs

Astronomy and Astrophysics

Astronomy

1

Earth Nutation, Geomagnetic Field

Scientific paper

In the studies of Earth nutation involving electro-magnetic coupling at the core boundaries inside the Earth, it is convenient to express the magnetic induction equation and the Lorentz force density, as well as the magnetic field (B) itself, in generalized spherical harmonics expansion (GSH). This is especially the case when the ellipticity of the interior structures and boundaries are considered. In this work, the magnetic induction equation and the Lorentz force density in the motion equation are derived to scalar format in GSH. In the resulted induction equation of the perturbed magnetic field b caused by nutation, it is shown that the spheroidal and toroidal part of b are decoupled with each other, although both of them involve the steady part of B and the nutational displacement s (or velocity v) field. This theoretical result allows one to solve b and s (or v) simultaneously. %z 1. 1992JGR....9719581B 2. 1993JGR....98.2105B 3. 2002JGRB.107d.ETG5B 4. 2001GeoJI.146..126H 5. 2004GeoJI.157..831H 6. 2003GeoJI.155..669H 7. 2002JGRB.107d.ETG3M 8. 1976PEPI...13...67M

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