Triple correlation of the gravity field of the earth

Physics – Geophysics

Scientific paper

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Correlation, Earth Gravitation, Geophysics, Geopotential, Gravitational Fields, Earth Crust, Functions (Mathematics), Statistical Analysis

Scientific paper

The triple correlation function on a sphere is analyzed using high-frequency approximation for the purpose of applying the function to the earth's gravity field. To test the triple correlation coefficients, a random earth is defined in which harmonic coefficient phases are random and generally no triple correlation exists. It is maintained that presently available earth models are not reliable enough for testing the relation between triple correlation and, e.g., elongated structures in the crust. More accurate values of geopotential coefficients are needed. However, it is maintained that with presently available data and ground measurements of gravity acceleration which can lead to direct evaluation of the triple correlation function, local triple correlations can be studied.

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