Coupling mechanisms at core-mantle boundary in rotation and orientation changes

Details Coupling mechanisms at core-mantle boundary in rotation and orientation changes Coupling mechanisms at core-mantle boundary in rotation and orientation changes

Oct 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011epsc.conf..335d&link_type=abstract

EPSC-DPS Joint Meeting 2011, held 2-7 October 2011 in Nantes, France. http://meetings.copernicus.org/epsc-dps2011, p.335

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We have computed coupling mechanisms at the coremantle boundaries of terrestrial bodies of the Solar system, and in particular, the pressure torque on the topography at the core-mantle boundary. This torque can be decomposed into three parts: (1) the constant part of the torque at equilibrium (without additional mantle and core rotations; this part is not interesting in our context), (2) the torque due to the inertial rotation pressure related to the non-Poincare part of the fluid on the topography, and (3) the torque due to the inertial rotation pressure on the topography related to the Poincare part of the fluid. The two last parts of the total torque involve the coefficients of the development of the core-mantle-boundary topography in spherical harmonics. Only these two last parts are of importance when computing the effects of a perturbing potential and related additional rotations for the core and the mantle. The philosophy of the computation follows Wu and Wahr [1], which allows to solve for the velocity field coefficients in terms of the topography coefficients. We have found that there are particular topography coefficients that are enhanced due to the crosscoupling between different spherical harmonics. This is very important as the total torque is thus shown to be dependent on the geometry of the boundary and on particular amplitudes of the topography. This was previously shown with an example in Wu and Wahr, but here we show that this is not an artifact from the choice of the topography but rather a general fact.

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