Normal mode study of the earth's rigid body motions

Details Normal mode study of the earth's rigid body motions Normal mode study of the earth's rigid body motions

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jgr....88.9437c&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 88, Nov. 10, 1983, p. 9437-9442.

Physics

6

Earth Motion, Earth Rotation, Geodynamics, Polar Wandering (Geology), Eigenvalues, Elastodynamics, Free Vibration, Gravitational Fields, Modal Response, Rigid Structures, Translational Motion, Vibration Mode

Scientific paper

In this paper it is shown that the earth's rigid body (rb) motions can be represented by an analytical set of eigensolutions to the equation of motion for elastic-gravitational free oscillations. Thus each degree of freedom in the rb motion is associated with a rb normal mode. Cases of both nonrotating and rotating earth models are studied, and it is shown that the rb modes do incorporate neatly into the earth's system of normal modes of free oscillation. The excitation formula for the rb modes are also obtained, based on normal mode theory. Physical implications of the results are summarized and the fundamental differences between rb modes and seismic modes are emphasized. In particular, it is ascertained that the Chandler wobble, being one of the rb modes belonging to the rotating earth, can be studied using the established theory of normal modes.

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