Abstract

Analytical expressions for tidal torques induced by a tide‐arising planet which perturbs rotation of a nonrigid body are derived. Corresponding expressions both for secular and periodic perturbations of the Euler's angles are given for the case of the earth's rotation. Centennial secular rates of the nutation angle θ and of the earth's angular velocity ω, as well as the centennial logarithmic decrement ν of the Chandler wobble are evaluated: \({\dot \theta }\) mas, \(\dot \omega /\omega = - 5.08{\text{ mas }} = {\text{ }} - 24.6{\text{ }} \times {\text{ }}10^{ - 9} ,{\text{ }}v = - 12.3{\text{ mas}}\).

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