the earth’s inertia tensor

Estimation of the Earth’s tensor of Inertia from recent geodetic and astronomical data

The transformation of the second-degree harmonic coefficients  and  in the case of a finite commutative rotation was derived instead of the traditional Lambeck’s approach based on an infinitesimal rotation. The modified Lambeck’s formulae avoid uncertainty in the deviatoric part of inertia tensor and allow simple transformation of the 2nd-degree harmonic coefficients and zonal coefficients of an arbitrary degree (including their temporal changes) via orthogonal matrixes.