Gravity gradiometer platform mass self-gradient compensation method
A technology of gravity gradiometer and gravity gradient, which is applied in the direction of instruments, measuring devices, scientific instruments, etc., can solve the problems such as little research on the gradient error of itself, and achieve the effect of easy implementation and simple method
Active Publication Date: 2022-01-04
TIANJIN NAVIGATION INSTR RES INST
View PDF7 Cites 0 Cited by
- Summary
- Abstract
- Description
- Claims
- Application Information
AI Technical Summary
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
Method used
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View moreImage
Smart Image Click on the blue labels to locate them in the text.
Smart ImageViewing Examples
Examples
Experimental program
Comparison scheme
Effect test
Embodiment Construction
[0061]Embodiments of the present invention are described in further detail below in conjunction with the accompanying drawings:
[0062] A gravity gradiometer platform mass self-gradient compensation method, comprising the following steps:
[0063] Step 1. Calculate the gravity gradient coordinate transformation relationship
[0064] The specific calculation method of the step 1 is:
[0065] According to the relationship between the gradient of the gravity potential function and the direction derivative, the transformation formula of the gravity gradient tensor in different coordinate systems is obtained as follows:
[0066]
[0067] In the formula: Γ n is the projection matrix of the gravity gradient tensor in the geographic coordinate system; Γ b is the projection matrix of the gravity gradient tensor in the carrier coordinate system; is the coordinate transformation matrix from the carrier coordinate system to the geographic coordinate system;
[0068] When definin...
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More PUM
Login to View More 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...
Claims
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More Application Information
Patent Timeline
Login to View More Patent Type & Authority Applications(China)
IPC IPC(8): G01V13/00G01V7/00
CPCG01V13/00G01V7/00Y02T90/00
Inventor 李达王伟高巍李城锁刘万国
Owner TIANJIN NAVIGATION INSTR RES INST