Open AccessThe effect of a general aspherical perturbation on the free oscillations of the Earth
Author(s) -
Woodhouse J. H.,
Dahlen F. A.
Publication year - 1978
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1978.tb03746.x
Subject(s) - isotropy , perturbation (astronomy) , infinitesimal , classical mechanics , physics , anisotropy , isotropic solid , rotation (mathematics) , mechanics , mathematical analysis , mathematics , geometry , quantum mechanics
summary . The Lagrangian governing the infinitesimal elastic‐gravitational oscillations of a completely general earth model with interior fluid—solid boundaries is given. Rayleigh's principle is then used to derive a formula for calculating the first‐order perturbations in the eigenfrequencies due to an arbitrary slight perturbation of a spherically symmetric, non‐rotating, isotropic starting model. The perturbations considered include rotation, asphericity, elastic anisotropy, and a deviatoric initial stress, as well as a change in the positions of both welded and fluid—solid boundaries.