Global gravity field model inversion method

Abstract

The invention discloses a global gravity field model inversion method. The method comprises the following steps: step 1: acquiring low-orbit gravity satellite data, and preprocessing the low-orbit gravity satellite data; step 2: calculating a pure Earth gravitation acceleration observation value by virtue of numerical differentiation; step 3: establishing a novel observation equation according toan observation value constant weight strategy; and step 4: estimating parameters, and obtaining an Earth gravity field model position coefficient. According to the acceleration domain residual error analysis of a reference model, a symmetric Toeplitz covariance matrix is established by directly adopting an autocorrelation sequence as a basic element, a complicated operation process of a high-dimensional huge matrix can be effectively avoided when the acceleration covariance matrix is calculated by an orbit prior dense array by virtue of an error propagation law, and the time for fixing the weight can be reduced, so that the calculation efficiency of the gravity field model can be improved. Compared with a classical method, an algorithm provided by the invention is simple and efficient in operation; and moreover, the stability and reliability of the inversion calculation efficiency of the gravity field model can be ensured.

Description

technical field [0001] The invention relates to the technical field of satellite gravity detection, in particular to a global gravity field model inversion method. Background technique [0002] The earth's gravity field is the historical reproduction of the distribution of matter and mass migration in the earth's interior. Determining the fine structure of the earth's gravity field and its temporal and spatial changes has important scientific and practical significance. Therefore, the study of the earth's gravity field has always been a core and hot issue in the field of geodesy . Among the many calculation methods of the earth's gravity field model, the acceleration method based on high and low satellite tracking satellites is widely used because of its simple principle and less time-consuming calculation. The acceleration method is to obtain the acceleration value of the satellite moving carrier through numerical differentiation calculation of the satellite ephemeris, and...

AI Technical Summary

Problems solved by technology

[0004] The technical problem to be solved by the present invention is to solve the defect that the gravity field model inversion calculation efficiency is low due to the high dimension of the matrix when the acceleration method constructs the weight matrix of observation values ​​in the prior art, which leads to low efficiency. A stable and reliable global gravity field model inversion method that can effectively reduce time-consuming weight determination and improve model calculation efficiency

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