Excitation of the Normal Modes of the Earth by Earthquake Sources


  • Freeman Gilbert

    1. Institute of Geophysics and Planetary Physics and Scripps Institution of Oceanography, University of California, San Diego, La Jolla, California 92037
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Some century-old results, due to Rayleigh and Routh, are used to derive a very compact and simple representation for the transient response of the Earth to earthquakes. In particular, it is shown how the residual static displacement field is naturally represented in terms of the normal mode eigenfunctions.