Differential positioning method and device based on gravity vectors and gravity gradients

A technology of gravity vector and gravity gradient, which can be used in measurement devices, measurement of gravitational fields, geophysical measurements, etc., can solve problems such as positioning errors, and achieve the effect of preparing for positioning tracking and solving positioning errors.

Active Publication Date: 2020-09-29
CENT SOUTH UNIV
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Problems solved by technology

[0004] The purpose of the present invention is to solve the positioning error problem caused by the earth's gravity background field in the prior art, and to provide a single moving object positioning and tracking method based on the differential positioning method of the gravity vector and its gradient. The present invention observes the gravity vector and gravity Gradient tensor, the process cleverly uses differential means to deduce the positioning formula that eliminates the earth's gravity background field, making the positioning result of the target more reliable and the tracking more accurate

Method used

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  • Differential positioning method and device based on gravity vectors and gravity gradients
  • Differential positioning method and device based on gravity vectors and gravity gradients
  • Differential positioning method and device based on gravity vectors and gravity gradients

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Embodiment 1

[0071] Based on the above principles, the present invention takes the gravity vector and the gravity gradient collected at adjacent moments on the observation station as an example to illustrate, and it includes the following steps:

[0072] 1. First obtain the gravity vectors g(t-1), g(t) and gravity gradients T(t-1), T(t) recorded at adjacent moments on the observation station, where t-1 and t represent the two adjacent moment.

[0073] 2. Calculate the distance vector R between the observation point and the target body based on the gravity vector g(t-1), g(t) and gravity gradient T(t-1), T(t), as follows:

[0074]

[0075] Among them, there are:

[0076]

[0077]

[0078] or:

[0079]

[0080]

[0081] or:

[0082]

[0083]

[0084] Based on the calculated distance vector R, in some embodiments, it is used as the distance vector at time t, and then the position of the particle target at time t is calculated by using the position of the observation st...

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Abstract

The invention discloses a differential positioning method and device based on gravity vectors and gravity gradients. The method comprises the steps: S1, obtaining two groups of gravity vectors and gravity gradients recorded by an observation station, wherein the two groups of gravity vectors and gravity gradients are obtained through the recording of the same observation station at an adjacent moment or the recording of the adjacent observation station at the same moment; and S2, acquiring the position of a target body based on the gravity vectors and the gravity gradients recorded in the stepS1, wherein the distance vector between the observation point and the target body is calculated firstly, and then the position of the target body is determined based on the distance vector and the position of the observation point. According to the invention, a core algorithm for monitoring the coordinate position of a moving target body based on gravity vectors and gravity gradient tensors measured by two adjacent observation stations or adjacent moments is provided, the influence of the earth gravity background field is eliminated, and accurate target positioning is realized.

Description

technical field [0001] The invention belongs to the technical field of earth gravity, and in particular relates to a differential positioning method and device based on a gravity vector and its gradient. Background technique [0002] In Earth's gravity, the gravity gradient tensor has many other applications besides exploring the earth's geological structure and looking for oil, gas and mineral resources. For example, use the satellite gravity gradient to restore the earth's gravity field of medium and short waves with high precision; use the high-precision gravity gradient tensor to navigate ships or cruise missiles; Majid Beiki and LaustB.Pedersen applied the gravity gradient tensor eigenvalue and The eigenvector, vertical gravity field calculates the position and mass of a single subsurface anomalous body, and is used for qualitative interpretation of the gravity gradient tensor profile data. In addition, in 2014, Lockerbie uniquely determined the position of a single ta...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C21/20G01V7/16
CPCG01C21/20G01V7/16
Inventor 胡双贵汤井田潘克家
Owner CENT SOUTH UNIV
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