Theories of nutation and polar motion III

Physics

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Earth Core, Earth Movements, Polar Wandering (Geology), Variational Principles, Axes Of Rotation, Earth Mantle, Elastic Properties, Equations Of Motion, Liquids, Nutation, Planetary Rotation

Scientific paper

The present report is a continuation and conclusion of two previous OSU-DGSS reports (AD-A108 999 and AD-A099 015). It treats the solution of Sasao, Okubo and Saito (1980), which is the simplest and most straight forward solution of Molodensky's liquid core problem (Part A). In Part B, a relatively little known variational principle of Poincare is derived and applied to a unified deduction of the equations of Sasao, et al. Part C provides explicit expression for lunisolar nutation and polar motion for the principal terrestrial axes: the rotation axis, the figure axis, the mean Tisserand axis, the angular momentum axis, and the axis associated with the Celestial Ephemeris Pole as adopted by the IAU in 1979, taking into account liquid core effects.

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