Precession of the Nonrigid Earth: Effect of the Fluid Outer Core

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Ephemerides, Reference Systems

Scientific paper

We show that, unlike commonly believed, the presence of a fluid core does affect the precessional motion of Earth by a nonnegligible amount, equivalent to a variation of several parts per million in the value of the precession constant or, correspondingly, the dynamical ellipticity of Earth. This contribution arises from the second-order terms of the averaged Hamiltonian after the application of perturbation methods to remove the periodic terms, some of the former being amplified as a consequence of resonance induced by the fluid core. Our evaluation corresponds to a simplified Earth model of the ``Poincaré kind'' (rigid mantle and liquid core). Under these assumptions, the effect of the fluid core is larger than -0.02" per century, which represents a significant contribution to the total amount of precession, since it is about two-thirds of the total planetary effect.

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