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Torsional oscillation of a homogeneous elastic spheroid

LAMONT GEOLOGICAL OBSERVATORY, COLUMBIA UNIVERSITY
WATSON RESEARCH LABORATORY, I.B.M.,, NEW YORK

Abstract

There are several causes for the observations of splitting of the spectral peaks determined from the free oscillation of the earth. In this paper, the splitting due to the ellipticity is studied assuming a homogeneous earth described by oblate spheroidal coordinates. Ellipticity causes the _iT_n mode to split into (n + 1) modes, while the earth's rotation causes it to split into (2n + 1) modes. 1/297.0 is adopted as the ellipticity of the earth. Numerical calculations are carried out for the fundamental mode (n = 2, 3, 4) and for the first higher harmonics (n = 1). The difference between the extreme frequencies for each value of n is 0.7% (n = 2), 0.5% (n = 3), and 0.4% (n = 4).

Footnotes

ON LEAVE FROM JAPAN METEOROLOGICAL AGENCY

ON LEAVE FROM EARTHQUAKE RESEARCH INSTITUTE, TOKYO UNIVERSITY

This article has been cited by other articles:

				L. E. ALSOP Free spheroidal vibrations of the earth at very long periods, Part II-- effect of rigidity of the inner core Bulletin of the Seismological Society of America, April 1, 1963; 53(3): 503 - 515. [Abstract] [PDF]