Theories of nutation and polar motion III

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1982-12

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Ohio State University. Division of Geodetic Science

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The present report is a continuation and conclusion of two previous OSU-DGSS reports "Theories of Nutation and Polar Motion I and II", No. 309 (1980) and 318 (1981). It treats the solution of Sasao, Okubo and Saito (1980), which is the simplest and most straightforward solution of Molodensky's liquid core problem (Part A). In Part B, a relatively little known variational principle of Poincaré 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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