Magnetic field and rotational eigenfrequencies

Physics

Scientific paper

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Scientific paper

The theory of the rotation of the fluid core is modified in order to take into account the magnetic field within the core. Because of the conductivity of the lower mantle, there is a frictional magnetic torque which appears at the core-mantle boundary (CMB); the magnitude of this torque depends on the conductivity profile within the mantle and on the magnetic energy at the CMB. It perturbs the rotational eigenmodes involving a damping in the free core nutation (FCN) and in the Chandler wobble. The geostrophic pressure at the CMB acts on the bumps of this interface involving a topographic torque. Because of the geostrophic rigidification, this surface pressure field is advected by the core velocity, and consequently, the topography being fixed in a frame related to the mantle, it appears a restoring torque acting on the core. Such a torque perturbs the FCN and creates a slow new rotational eigenmode.

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