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

A gravity gradient and earth gravity technology, applied in the field of satellite gravity measurement, can solve problems such as not taking into account the inversion contribution of the earth's gravity field, dissatisfied with the orthogonality rule of the football harmonic function, and unable to directly determine the earth's gravity field, etc.
CN108663718AInactive Publication Date: 2018-10-16中国人民解放军61540部队
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
中国人民解放军61540部队
Publication Date
2018-10-16
Estimated Expiration
Not applicable · inactive patent

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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.
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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...

Claims

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