The Earth is roughly an oblate spheroid, with the bulge occurring at the equator. Let A be the moment of inertia along an equatorial axis, and let C be the moment of inertia about the polar axis. Then Lambeck (1980) gives
Moment of Inertia, Moment of Inertia--Ellipsoid, Moment of Inertia--Oblate Spheroid, Moment of Inertia--Sphere, Precessional Constant
Lambeck, K. The Earth's Variable Rotation. Cambridge, England: Cambridge University Press, p. 27, 1980.
Stacey, F. D. Physics of the Earth, 2nd ed. New York: Wiley, 1977.
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