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A fine calculation method and system for the application of disturbance gravitational field

A calculation method, a technique for disturbing gravity, applied in the field of fine computing, and can solve problems that take days

Active Publication Date: 2020-09-18
BEIJING INST OF ASTRONAUTICAL SYST ENG +1
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Problems solved by technology

When the data resolution of different algorithms is not very high, the calculation time consumption can be tolerated, but when the data resolution is high (such as 5′×5′ average anomaly to determine the 2160th order sub-coefficient), the calculation will take several days

Method used

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  • A fine calculation method and system for the application of disturbance gravitational field
  • A fine calculation method and system for the application of disturbance gravitational field
  • A fine calculation method and system for the application of disturbance gravitational field

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Embodiment Construction

[0059] Specific embodiments of the present invention are further described in detail below.

[0060] For the spherical integrable function f(θ,λ), it can be expanded into an infinite series of spherical harmonic functions, that is, a spherical two-dimensional generalized Fourier series. Its expression is

[0061]

[0062] In the formula is the surface spherical harmonic coefficient, is the normalized Legendre function, θ, λ are the co-latitude and longitude, respectively, and n, m are the order and order of the spherical harmonic coefficients, respectively.

[0063]When the given f(θ,λ) is the specific earth disturbance gravitational observation data, the formula

[0064]

[0065] Calculation of the disturbance gravitational coefficient

[0066] Normalize the Legendre function is defined as

[0067]

[0068] normalization coefficient The expression is

[0069]

[0070] Redefine the standard Fourier expansion coefficient in the longitude direction

[...

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Abstract

The invention relates to a disturbance gravitational field application-oriented fine calculation method, which comprises the following steps of: recovering a spherical integrable function f (theta, lambda) according to discrete disturbance gravitational observation data, calculating disturbance potential coefficients by using a formula, and substituting the disturbance potential coefficients intodifferent disturbance gravitational field element calculation formulas to obtain required gravitational field elements. The invention also provides a disturbance gravitational field application-oriented fine computing system. The method is high in stability, the significant digits can be accurate to the last six digits of a decimal point, meanwhile, the expression can calculate all values at a time according to different times m, GPU parallel computing is facilitated, the computing speed is further increased, and a computing tool is provided for modeling application of the ultra-high-order disturbance gravitational field.

Description

technical field [0001] The invention relates to a fine calculation method oriented to the application of disturbance gravitational field, which is applied to the coordination and analysis of high-resolution data balls in the calculation of disturbance gravitational field elements such as elevation anomaly or vertical line deviation. Background technique [0002] The vertical deviation and the earth disturbance gravitational field model are two important factors affecting the accuracy of ballistic missiles. The deviation of the vertical line is one of the basis for the establishment of the reference coordinate system, and its error directly leads to the deviation of the reference coordinates when the missile is launched, thus affecting the missile's hit accuracy. On the other hand, the ballistic missile is always affected by the gravitational field of the earth during its flight, but the inertial devices on the missile cannot be sensitive to the gravitational force of the ear...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20
Inventor 吴燕生丰海常晓华王国庆谷立祥张兵颜峰林杨王宗强王晓青蒋鲁佳周春晓徐明钊
Owner BEIJING INST OF ASTRONAUTICAL SYST ENG
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