Method and system for extending orders of spherical cap harmonic models of earth disturbance gravity fields
An extension method and gravitational field technology, applied in CAD numerical modeling, special data processing applications, instruments, etc., can solve the problems of large amount of calculation, unsuitable local low-altitude gravitational field assignment, and heavy calculation amount, so as to improve the accuracy of assignment , is conducive to the effect of precise navigation
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[0080] With a spherical crown radius of 5 ° For example, using the Muller method to solve the zero root value, 11 zero root values can be directly calculated, combined with the dichotomy method, more than 13 zero root values can be obtained. It should be noted that this method can be used to calculate more zero root values. Since the zero root values after 11 are very close, the subsequent calculation is terminated. The terminated instruction is when the distance between two adjacent zero root values is If the value is too small, the search is terminated, and the distance is set to be less than 0.0001 here.
[0081]
[0082] It can be seen that the order expansion method of the spherical crown harmonic model of the earth disturbance gravitational field given by the present invention can calculate more zero root values, effectively expand the spherical crown harmonic order, and thus improve the orbital accuracy of the spacecraft. The assignment accuracy of the distu...
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