Variations of the earth's gravity field due to the free nutation

Summary Expressions for the time variation of gravity and for deformations of equipotential surfaces due to the free nutation of the Earth have been derived. The possibility has been shown of determining the polar motion by means of accurate gravity observations under the assumption that the other effects, particularly tidal, may be expressed with sufficient accuracy theoretically. The necessity of introducing gravity corrections due to the polar motion has been pointed out in investigating the secular variations of gravity and in accurate gravity measurements (standard error of the order of 0.01 mgal and less), in general.