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
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[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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