Least-square collocation model of satellite gravity gradient tensor diagonal three-component inversion earth gravity field and modeling method

Abstract

The invention discloses a least-square collocation model of a satellite gravity gradient tensor diagonal three-component inversion earth gravity field and a modeling method, and belongs to the field of satellite gravity measurement. The method comprises the steps that starting from an orthogonality rule of a spherical harmonics function, Txx and Tyy components and Tzz, Txx and Tyy components are combined separately, practical calculation formulas of auto-covariance and cross covariance functions among the satellite gravity gradient tensor diagonal three-components and covariance functions of the components and gravitational potential coefficients are derived, and then the least-square collocation model of the Txx and Tyy two-component and Tzz, Txx and Tyy three-component inversion earth gravity fields is obtained. Accordingly, the theoretical basis is provided for fully utilizing the satellite gravity gradient tensor diagonal three-component inversion earth gravity field, and data resources of a gravity gradient measurement satellite GOCE launched by the ESA are fully utilized.

Description

Technical field: [0001] The invention discloses a least square configuration method model and a modeling method for retrieving the earth's gravity field by the three-component diagonal line of the satellite gravity gradient tensor, belonging to the field of satellite gravity measurement. Background technique [0002] The expression of the geocentric spherical coordinates of the three diagonal components of the satellite gravity gradient tensor is: [0003] [0004] [0005] [0006] Among them, T zz , T xx , T yy respectively represent the three components of the satellite gravity gradient tensor in the x, y, and z directions, the x-axis points south, the y-axis points east, and the z-axis and the x, y axes form a right-handed coordinate system, that is, a local north-pointing coordinate system; fM represents The gravitational constant of the earth; r represents the geocentric radius of the calculation point; θ and λ represent the co-latitude and geocentric longi...

AI Technical Summary

Problems solved by technology

[0013] Disadvantages: Among the three diagonal components of the satellite gravity gradient tensor, the largest magnitude is T zz Portion, T xx , T yy Portion next

However, only T zz Components, not taking into account T xx , T yy Contribution of the components to the inversion of the Earth's gravitational field

[0014] due to T xx , T yy The component is not satisfied with the orthogonality law of the football harmonic function, so it cannot be directly used to determine the earth's gravitational field

Images