Gravitational Influence of the Sun and Moon on the Earth and Possible Geodynamic Consequences

Details Gravitational Influence of the Sun and Moon on the Earth and Possible Geodynamic Consequences Gravitational Influence of the Sun and Moon on the Earth and Possible Geodynamic Consequences

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009agufm.p31a1235m&link_type=abstract

American Geophysical Union, Fall Meeting 2009, abstract #P31A-1235

Physics

[1213] Geodesy And Gravity / Earth'S Interior: Dynamics, [5400] Planetary Sciences: Solid Surface Planets, [5770] Planetary Sciences: Fluid Planets / Tidal Forces, [8115] Tectonophysics / Core Processes

Scientific paper

The goal of current research is to reconsider the role of tidal stresses and deformations in a planet’s life and to show the mechanisms that transform tidal deformations into geodynamic and other processes. 1. Tidal stress and strain oscillations have been acting on the Earth, uniformly and monotonously, for hundreds of millions of years. As such, these small tidal effects accumulate during geological time and can result in the following tectonic and geodynamic phenomenae: dilatation of the Earth’s material and separation of its components: solid, liquid, and gas; transformation of low-amplitude tidal deformations into lateral differential motion of the Earth’s layers, internal heating, and magnetic field generation. The “complex loading of a granular substance” (Revuzhenko, 2003) was considered as a possible mechanism that transforms radial tidal deformations into lateral displacements of the Earth’s layers. The governing equations were written. The Figure below shows the trajectory of a particle in the liquid core. A and B represent the initial and final (when calculation was terminated) positions of a particle; the Coriolis force was taken into account. It was shown that similar trajectories can be obtained also by solving the Navier-Stokes equations for a low-viscosity liquid and tidal force (see section 2) acting on a liquid. 2. The barycenter of the Earth and Moon binary planet system is 4670 km from the center of the Earth. The center of the Earth is orbiting around the Sun on a non-Keplerian, perturbed orbit. This requires a more careful consideration of inertial and tidal forces acting on the Earth and its structures. The formula for a tidal force is Fn=∑i=1,nf Mi/ρi3 ρi - a0, a0 = aK + ap, aK is Keplerian, and ap is the non-Keplerian (of the same order as a Keplerian one) acceleration of the center of mass of the Earth. The formula for the tidal force acting on the Earth from the Sun and the Moon was first obtained and studied by Yu. Avsyuk (1996, 2001, 2007). The shortest period of the tidal force according to this formula is 13.6 (not 27.5!) days. This formula was used for interpreting different geodynamic phenomenae, from Moon seismisity through the Chandler wobble. This work was supported by RFBR grant No 09-05-00426-a

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