The Application of Block-diagonal Least-squares Methods in Geopotential Model Determination

Abstract

Abstract:

Six kind of permutations of spherical harmonic coefficients and their block diagonal form of corresponding normal matrixes were studied as well as three kinds of approximation BDs: BD-1, BD-2, BD-3. The application of block-diagonal least-squares methods in geopotential model determination was analyzed and its advantage to quadrature formulas was showed by a simulated calculation. It illustrated that, with the global terrestrial gravity data and the satellite gravity field model whose accuracy was being improved continuously, block-diagonal least-squares methods are playing an increasingly important role in the calculation of the ultra-high-degree gravity field model.

Key words: block-diagonal, least-squares, ultra-high-degree geopotential model determination, EGM2008, orthogonality

CLC Number:

P223

References

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