Spacecraft Attitude Determination Using Global Positioning Satellite Signals



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Once is found, the vector is rearranged back into the 3x3 matrix form and the new error is calculated. If this error is within a specified value of the error for, the iteration can be ceased. If not, is calculated and the iteration is performed again. This is the GN method (Gauss-Newton-Levenberg-Marquardt Method).

Occasionally, there are cases for which . To prevent this singularity from happening, an additional term is added to the calculation of the next vector:


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