| 摘要 |
A gravity gradiometer capable of obtaining the vertical component Tzz of the gravity gradient tensor out of the two horizontal components Txx and Tyy based on Laplace equation: Tzz = - (Txx + Tyy) comprises a single disc, and two pairs of radially-oriented horizontal axis accelerometers oppositely-mounted on such disc along respective X and Y axes, each pair being capable of providing, respectively, Txx = Tx1 - Tx2 and Tyy = Ty1 - Ty2 where Tx1 and Tx2 are the respective outputs of the X axis accelerometers and Ty1 and Ty2 are the respective outputs of the Y axis accelerometers. The gravity gradiometer is also capable of obtaining all five independent components of the gravity gradient tensor based on the above Laplace equation and tensor symmetry as follows: one of the above pairs of horizontal axis accelerometers further comprises tangentially oriented horizontal accelerometers capable of providing by subtraction the Txy component of the gravity gradient tensor, and an accelerometer module consiting of two horizontal accelerometers aligned with the radially and tangentially oriented combination is mounted at a location on the Z axis of the disc above or below the disc to provide the Tzx and Tzy components by subtracting the values of Tx and Ty, respectively, at that location from average values of Tx and Ty at the disc plane. |
