Single-variable B-spline function earth surface sun shape model based on observation data
A sun shape model and observation data technology, applied in genetic model, electrical digital data processing, complex mathematical operation, etc., can solve the problems of model discontinuity, low fitting accuracy, inability to analyze and integrate radiation energy, and achieve high model The effect of continuous features, high fitting accuracy, and high fitting accuracy
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[0024] Suppose the analytical model of the sun shape is:
[0025]
[0026] Among them, N i,d (θ) represents the B-spline function basis function, P i represents the control coefficient of the B-spline function, θ represents the angle offset, θ aureole Indicates the maximum angle offset of the peripheral halo, with a value of 43.6mrad. Here, the unit of θ is mrad. In addition, θ disk Indicates the maximum angular offset of the sun center disc, which is 4.65mrad.
[0027] The total radiant energy of the disc and halo sections can be derived as follows:
[0028]
[0029] where Φ disk Indicates the total radiant energy of the disc section. Here, the unit of θ is rad. Since θ is sufficiently small, sin(θ)≈θ and cos(θ)≈1, so
[0030]
[0031] Similarly,
[0032]
[0033] where Φ aureole Indicates the total radiant energy of the halo portion. CSR(χ) is defined as the total radiant energy Φ of the halo part aureole and total radiant energy Φ all The ratio of t...
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