Spatial layering disturbance gravitational field grid model rapid construction method

A technology of grid model and disturbance gravity, which is applied in the field of aerospace, can solve the problems of fast and accurate calculation of disturbance gravity, etc., and achieve the effect of strong use value and safety guarantee

Inactive Publication Date: 2015-08-12
THE PLA INFORMATION ENG UNIV
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Problems solved by technology

But so far there is no public report that is effectively used for fast and accurate calculation of disturbance gravitational force

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  • Spatial layering disturbance gravitational field grid model rapid construction method
  • Spatial layering disturbance gravitational field grid model rapid construction method
  • Spatial layering disturbance gravitational field grid model rapid construction method

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Embodiment Construction

[0033] The specific implementation of the present invention will be described in detail below in combination with specific situations.

[0034] The present invention in concrete implementation, comprises the following steps:

[0035] 1. The convolution form of the traditional integral is changed:

[0036] Using Stokes integral to calculate the traditional formula (3) of the disturbance gravity, the formula (3) is changed (transformed) into a convolution form. The method is to first construct a spherical triangle (such as figure 2 shown), ρ, λ are respectively the radial direction, latitude and longitude of the center of the ball in the point spherical coordinates to be obtained, λ' are the geocentric latitude and longitude of integral element d∑ respectively; P 0 is the projection point of the point P to be sought on the spherical surface, and its spherical coordinates are ψ for P 0 The center angle between dΣ and integral element dΣ; A is the azimuth angle of the lin...

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Abstract

The present invention relates to a spatial layering disturbance gravitational field grid model rapid construction method which can effectively solve the problem of obtaining the disturbance gravitation of earth's any height level rapidly and at a high precision. The method comprises the following steps of modifying a conventional integration formula into a convolution form to calculate rapidly by utilizing a convolution theorem; calculating the low-order model gravity anomaly and the residual gravity anomaly to obtain the residual gravity anomaly; carrying out the Fourier transform and the inverse transformation thereof to obtain a residual disturbance gravitation value; calculating a low-order model disturbance gravitation and a final disturbance gravitation to obtain the final disturbance gravitation; comparing a disturbance gravitation precision with a calculation efficiency, at the same time, comparing the efficiency difference with a conventional method. The method of the present invention is easy to operate and apply, can effectively solve the problem of obtaining the disturbance gravitation of earth's any height level rapidly and at the high precision, facilitates the rapid and real-time positioning and control of various spacecrafts when the spacecrafts move, guarantees the safety of the spacecrafts, and possesses a very strong use value.

Description

technical field [0001] The invention relates to aerospace technology, in particular to a method for rapidly constructing a space-layered disturbance gravitational field grid model. Background technique [0002] With the development of aerospace technology, the safety of various aircraft has attracted people's attention, and an important reason affecting the safety of aircraft is the fast and high-precision calculation of disturbance gravity as the earth's gravitational field, which ensures the fast and real-time calculation of various aircraft in motion. Positioning, the current calculation of disturbance gravity is based on Stokes theory, when the earth is regarded as a sphere and the zero-order term is ignored, the outer point of the earth The relationship between the disturbance level and the ground gravity anomaly is as follows, [0003] Formula 1) [0004] In the formula, Δg is the gravity anomaly at the integral flow unit dΣ on the spherical surface, S(ρ,ψ) is ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05D1/12
Inventor 王庆宾范昊鹏吴晓平李姗姗赵东明李新星孙文周睿吴亮常岑贾鲁
Owner THE PLA INFORMATION ENG UNIV
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