A test of Newton's inverse square law of gravitation using the 300-m tower at Erie, Colorado

Mathematics – Logic

Scientific paper

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Earth Gravitation, Geopotential Height, Gravimeters, Lageos (Satellite), Error Analysis, Gravimetry, Gravity Anomalies, Topography

Scientific paper

Newton's inverse square law of gravitation was tested by measuring gravity at eight different heights on a 300-m meteorological tower at Erie (Colorado), using electrostatically nulled gravimeters. The observed values were corrected for tides, temperature, and gravimeter-screw errors and were tested for systematic effects due to wind-induced tower motion; the corrected results were compared with values predicted by the Newton's law from surface gravity measurements. Results showed that the differences between measured and calculated values behaved randomly with elevation, exhibiting no systematic trends which might be interpreted in terms of a non-Newtonian 'fifth force'.

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