A generalized theory of the figure of the Earth: on the global dynamical flattening

generalized theory of the figures of the Earth’s interior to a third-order precision of ellipticity is proposed in accompanying paper in which all the odd degree and nonzero order spherical harmonic terms are included. As both the direct and indirect contributions of the asymmetric crust are included, this theory makes a significant improvement for calculating the asymmetric equilibrium figures of the real Earth comparing with the traditional theories which can only deal with the ideal symmetric Earth. The principal moments of inertia (PMOI: A , B , C ) and global dynamical flattening ( H ) are important quantities in studying the rotating Earth. Precession and gravity observations give observation value of H ( H_obs≈ 1/305.4559 ) with very high precision, while its theoretical calculated value ( H_theory≈ 1/308.5 ) from traditional theories and a starting symmetric Earth model (like PREM model) is about 1% less than H_obs . Using the new theory in accompanying paper and replacing the homogeneous outermost crust and oceanic layers in PREM with CRUST1.0 model, we recalculate the equilibrium figures of the Earth’s interior and finally get new values of PMOI and H_theory ( ≈ 1/304.7167 ) whose consistency with H_obs are significantly improved to 0.24