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  • GEOPHYSICS  (2)
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  • 1
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    Application of internal gravitational field equations to geophysical measurement of G (1989)
    In:  Other Sources
    Details
    Publication Date: 2011-08-19
    Description: 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.
    Keywords: GEOPHYSICS
    Type: Journal of Geophysical Research (ISSN 0148-0227); 94; 7563-756
    Format: text
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    NASA TECHNICAL REPORTS
  • 2
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    Non-Newtonian gravity or gravity anomalies? (1988)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Geophysical measurements of G differ from laboratory values, indicating that gravity may be non-Newtonian. A spherical harmonic formulation is presented for the variation of (Newtonian) gravity inside the Earth. Using the GEM-10B Earth Gravitational Field Model, it is shown that long-wavelength gravity anomalies, if not corrected, may masquerade as non-Newtonian gravity by providing significant influences on experimental observation of delta g/delta r and G. An apparent contradiction in other studies is also resolved: i.e., local densities appear in equations when average densities of layers seem to be called for.
    Keywords: GEOPHYSICS
    Type: NASA-TM-4030 , REPT-88B0104 , NAS 1.15:4030
    Format: application/pdf
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    NASA TECHNICAL REPORTS
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