Method of Determining the Degree of Free Oscillation of a Radially Heterogeneous Elastic Sphere

概要

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A method is proposed which gives a clue to determine the degree (m) of the free oscillation of the earth, or the azimuthal characteristic of the origin of disturbance. This method is based on the principle that the series of zero points of the guiding curve of spectrum peaks depends on the degree number m. If a specific spherical surface harmonics with a certain value of m has a series of zero points that conform to the zeroes of the guiding curve of the observed spectral peaks, the degree number m is determined.半径方向に不均質な弾性球の自由振動の解は球面認和函数Pnm(cosθ)・exp(imφ)または,これを多少変形した函数を含んでいる.この解で自由振動のオーダーは固有周期と密接な関係があるが,デグリーmは周期と無関係である.したがつて,自由振動のオーダーは長周期波の周期分析の結果と理論とを比較すれば知ることができる.しかし,デグリーmは周期分析をしても知ることができない.
1963-07-30