Moment of inertia of three-dimensional models of the earth

Details Moment of inertia of three-dimensional models of the earth Moment of inertia of three-dimensional models of the earth

May 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989georl..16..389t&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 16, May 1989, p. 389-392.

Physics

8

Earth (Planet), Moments Of Inertia, Seismology, Three Dimensional Models, Digital Data, Spherical Harmonics

Scientific paper

The axes of the maximum moment of inertia of recent three-dimensional models of the earth deviate from the rotation axis by about one degree. This is at least a few orders of magnitude larger than the observed deviation. Simple analysis shows that this is related to the size of the (l = 2, m = 1) component of density variations in the upper mantle, where l is the angular degree and m is the order of the spherical harmonics. An analytical formula for the deviation of the maximum moment of inertia is derived, which involves a radial integration of the (l = 2, m = 1) component of density. It is proposed that a new earth model should be derived using this constraint.

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