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Preliminary result of the Earth's free oscillations by Galerkin method

Published online by Cambridge University Press:  01 October 2007

M. Zhang ,
B. Seyed-Mahmoud  and
C. L. Huang
M. Zhang
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, 80 Nandan Rd., Shanghai 200030, China. Email: [email protected]
B. Seyed-Mahmoud
Affiliation:
Department of Physics, the University of Lethbridge, University Drive, Lethbridge, Albert, Canada, T1k 3m4
C. L. Huang
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, 80 Nandan Rd., Shanghai 200030, China. Email: [email protected]
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Abstract

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We use a Galerkin method to compute the eigenfunctions and eigenperiods of some of the Earths spheroidal and toroidal modes. The boundary conditions are treated using a Tau method. We show that for a realistic Earth model the difference between the computed and observed periods is less than 1.4%. We conclude that a Galerkin method may be an effective tool for the studies of the Earth's normal modes.

Keywords

methods: analyticalEarth
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 3 , Symposium S248: A Giant Step: from Milli- to Micro-arcsecond Astrometry , October 2007 , pp. 409 - 410
Copyright
Copyright © International Astronomical Union 2008

References

Seyed-Mahmoud, B. 1994, Wobble/nutation of a rotating ellipsoidal Earth with liquid core, M. Sc. thesis, Memorial University of Newfoundland.Google Scholar
Lapwood, E. R. & Usami, T. 1981, Free oscillations of the Earth, Cambridge University Press.Google Scholar
Li, R.-H. 2006, Galerkin method of boundary problems, Science Press.Google Scholar