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IUGG XXIV General Assembly July 2-13, 2007 Perugia, Italy<br />

(S) - <strong>IASPEI</strong> - International Association of Seismology and Physics of the Earth's<br />

Interior<br />

JSS011 Poster presentation 2135<br />

Normal Modes for Kinematics of A Triaxial Earth<br />

Prof. Wen-Jun Wang<br />

Dept of Geodynamics, School of Surveying and Land Chinese Academy of Sciences<br />

Wenbin Shen, Han-Wei Zhang<br />

The Earth orientation is determined according to Euler dynamical equations as well as Euler kinematical<br />

equations. Solving Euler kinematical equations on behalf of multiple solutions of free wobbles and<br />

secular wander, three groups of solutions from Euler kinematical equations index that Earth possesses<br />

no regular precession but free precessions. The first group of free precessions has 46.46 days periodic<br />

precession for Eulers precession angle, 36.44 days periodic nutation for Eulers nutation angle and 30.01<br />

days periodic free spinning oscillation for the rigid Earth case. By this discovery, the 40-50 day<br />

oscillations or so-called MJO (Madden-Julian Oscillations) can be clearly claimed possessing free<br />

precession background of Earth rotation. Other two groups of free precession solutions also provide<br />

detectable variations for the Earth orientation.<br />

Keywords: earth orientation, euler kinematical equations, eulers angles free precession

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