Associated Dynamical Equation on Wobble and Nutation of Fluid Core Earth Model

Based on classical dynamical equation on rotation of Earth with elasticity's mantle and fluid core, the associated dynamical equation containing both nutation and wooble of Earth rotation were detuced through introducing motion of nutation frame system with respect to inertial spatial frame. The primary contents consist of: (1) considering influence of high order precession-nutation moment on Earth rotation; (2) introducing influence of other disturbing mechanism (atmosphere, ocean and surface water distributing, et al.) on Earth rotation, which periods satisfy relations of T≤2/3?d and T≥2?d; (3) establishing theoretical relations between polar motion of rotational axis, polar motion and precession-nutation of either celestial sphere reference axis; (4) presenting the associated dynamical equation containing wobble and nutation of fluid core Earth model, trying investigated wobble and nutation with unitive method. Deduced formulae can provide a reference and gist for research of dynamical geodesy and arstrogeodynamics.