Application of internal gravitational field equations to geophysical measurement of G

Details Application of internal gravitational field equations to geophysical measurement of G Application of internal gravitational field equations to geophysical measurement of G

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989jgr....94.7563r&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 94, June 10, 1989, p. 7563-7566.

Physics

Geophysics

Earth Core, Geophysics, Gravimetry, Gravitational Constant, Spherical Harmonics, Density Distribution, Gravity Anomalies, Harmonic Functions, Poisson Equation

Scientific paper

The spherical harmonic equation for the gravitational potential inside the earth is presented. The equation satisfies Poisson's equation and converges uniformly. It obviates the need for downward continuation of the exterior potential with its attendant convergence difficulties but of course requires some knowledge of the earth's density distribution. The equation is used to derive the general expression for the geophysical measurement of the gravitational constant G made inside the earth, such as in boreholes and mine shafts. Numerical evidence is also presented to show that the long- to intermediate-wavelength gravity anomalies can masquerade as the 'fifth force' if not properly corrected for.

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