重力勾配測定による非ニュートン重力場の検出限界

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タイトル別名
  • Detectability of Non-Newtonian Gravity by Gravity Gradiometry.
  • 重力勾配測定による非ニュートン重力場の検出限界〔英文〕
  • ジュウリョク コウバイ ソクテイ ニ ヨル ヒ ニュートン ジュウリョクバ ノ

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抄録

It is possible to detect the non-Newtonian gravity due to the Earth's mass by measuring gravity gradient over a wide range of altitude since there is a characteristic pattern in the relation between the value of the non-Newtonian gradient and the altitude on a logarithmic scale. The value of the non-Newtonian gravity gradient on the Earth is estimated at about a×10-6s-2 where α is the coefficient of the additional YUKAWA term. The effects of harmonics of gravity potential with degrees higher than 3 and uncertainty of density of the Earth's interior, on the other hand, are less than 10-10s-2 and they can be corrected to as small as in the range of 10-12s-2 with an reliable Earth model, which is equivalent to the non-Newtonian gravity gradient in the case of α=10-6. A gravity gradiometer with a couple of superconducting accelerometer or that with high sensitive Fabry-Perot interferometer can have the sensitivity better than 10-13s-2 and it is the most effective for the detection of the non-Newtonian gravity on the Earth . The non-Newtonian gravity gradient due to the Earth is detectable if the coefficient α is larger than 10-6 and the range λ is shorter than 105 m by the gravity gradient measurement.

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