Gravity gradiometer platform mass self-gradient compensation method

Abstract

The invention relates to a gravity gradiometer platform mass self-gradient compensation method. The method comprises the following steps: step 1, calculating a gravity gradient coordinate transformation relation; step 2, constructing a platform self-gradient error model according to the gravity gradient coordinate transformation relation obtained through calculation in the step 1; and step 3, solving gravity gradient column vectors of the inner frame mass, the middle frame mass and the outer frame mass under the corresponding carrier coordinate system based on a gravitational gradient calculation method of a finite element, and carrying out platform mass self-gradient error compensation on an output signal of the gravity gradiometer based on the platform self-gradient error model constructed in the step 2. According to the invention, the gravity gradiometer self-gradient compensation can be carried out through the pre-acquired stabilized platform quality model and carrier real-time attitude information, and the gravity gradient dynamic measurement precision is improved.

Description

technical field [0001] The invention belongs to the technical field of gravity gradiometers, in particular to a method for self-gradient compensation of the platform quality of gravity gradiometers. Background technique [0002] The gravity gradient is defined as the spatial gradient of the gravity acceleration vector, that is, the second derivative of the gravity potential, which characterizes the spatial change rate of the gravity vector. In a geographic coordinate system, the gravity vector It can be decomposed into three components in the three directions of x, y, and z, and each component has a gradient along the direction parallel to the coordinate axis. Therefore, the gravity gradient tensor has a total of 3×3 components, such as figure 1 shown. [0003] Mathematically, the gravity gradient is expressed as: [0004] [0005] In the formula: [0006] Γ—gravity gradient tensor matrix at any spatial position outside the earth; [0007] ——the gravitational acc...

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Problems solved by technology

[0011] According to the different sources of mass, the mass around the sensor can be divided into the frame mass of the gravity gradiometer platform and the mass of the carrier. Many scientific research institutions around the world have carried out research on the self-gradient error compensation technology, but most of them only focus on the self-gradient error caused by the mass of the carrier. error, but there is little research on the gradient error caused by the quality of the platform framework

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