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Influence of the Solid Inner Core and Compressibility of the Fluid Core on the Earth Nutation

Published online by Cambridge University Press:  12 April 2016

Sergei Diakonov

Extract

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While calculating low frequency oscillations of the Earth liquid core spherical harmonic representation of the deformation field is usually used [1-3]:

Substitution of (1) into the equations of motion gives an infinite system of differential equations for scalar functions Sɭm and Tɭm . Approximate solutions of such a system are obtained by truncating of the system. But results of [4] show that sometimes such method divergences.

Type
Part 2. Poster Papers
Information
International Astronomical Union Colloquium , Volume 127: Reference Systems , 1991 , pp. 250 - 253
Copyright
Copyright © United States Naval Observatory 1991

References

[1] Smith, M.L., 1974. The scalar equations of infinitesimal elastic-gravitational motion for a rotating slightly elliptical Earth., Geoph. J. R. astr. Sos., 37, 491–526.CrossRefGoogle Scholar
[2] Crossly, D.J., Rochester, M.G., 1980, Simple core undertones., Geoph. J. R. astr. Sos., 60, 129–161.Google Scholar
[3] Wahr, J.M., 1981, The forced nutation of an elliptical, rotating elastic and oceanless Earth., Geoph. J. R. astr. Sos., 64, 705–727.Google Scholar
[4] Bykova, V.V., 1990, Proceedings of the IAU Colloquium 127., in press.Google Scholar