Abstract
The static deformation of gravitating elastic earth model is studied in some detail. It is found that the problem becomes well posed if we discard the stress-strain relation in the liquid core. A convenient formulation, in which derivative of density does not appear, is proposed in the liquid core by introducing a new variable. Static solutions obtained by the present theory are compared with dynamic solutions in which the liquid core causes no trouble. The differences between them are within 0.2%. The elastic deformation due to earth's rotation and the deformation of degree 1 modes induced by surface loads are also computed.
