Ring surface harmonic-analysis method on basis of satellite gravity gradient observation data

Abstract

The invention relates to a ring surface harmonic-analysis method on the basis of satellite gravity gradient observation data, which includes the following steps: preprocessing the satellite gravity gradient observation data, integrally reducing the satellite gravity gradient observation data to the same spherical surface and performing gridding process on the same to obtain regular grid average value; mapping the grid value on the spherical surface to the ring surface by means of mapping relation of the spherical surface to the ring surface, and obtaining circular regular grid value; perform spline analysis on the gravity gradient data on the ring surface, converting the regular grid average value on the ring surface into continuous spline approximating function; performing two-dimensional Fourier analysis on the gravity gradient on the ring surface, and converting spline approximation to determine Fourier coefficient; and computing the two-dimensional Fourier spectral coefficient of the ring surface into harmonic expansion coefficient. High-accuracy and high-efficiency self-consistency harmonic analysis of the satellite gravity gradient observation data is realized, the error caused by inaccuracy and the like of smoothing factors in existing harmonic analysis is overcome, and the ring surface harmonic-analysis method has the advantages of high computing speed and accuracy.

Description

technical field [0001] The invention belongs to the field of the earth's gravity field model, in particular to a torus harmonic analysis method based on satellite gravity gradient observation data. Background technique [0002] The earth's gravity and its time variation can reflect the density distribution and material movement state of the earth's surface and interior, and also determine the fluctuation and change of the geoid. Determining the fine structure of the Earth's gravitational field and its time variation is not only one of the main scientific goals of physical geodesy, but also provides important basic geospatial information for modern earth science to solve problems such as resources, environment and disasters faced by human beings. [0003] As an analytical form of various gravity data, the Earth's gravity field model describes the spectral characteristics of the global gravity field in the frequency domain. It is of great significance for studying the mathemat...

AI Technical Summary

Problems solved by technology

However, the current harmonic analysis method has a fatal flaw that the smoothing factor is difficult to accurately select, resulting in the inability to fully restore the earth's gravitational potential coefficient

At the same time, the development of satellite gravity gradient measurement technology puts forward higher requirements for harmonic analysis. Harmonic analysis not only has to deal with radial observation data (gravity anomaly, geoid, disturbed gravity, etc.), but also has to deal with gravitational gradient For horizontal observation data such as tensor horizontal components, the original harmonic analysis method can only deal with radial observation data, which cannot meet the high precision and fast speed requirements of satellite gravity gradient measurement.

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