Algorithms of increasing the calculation accuracy for an aircraft’s orientation angle

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Algorithms for calculating an aircraft's orientation angles based on the results of the numerical integration of Poisson's and quaternion equations are proposed. The algorithms in the presence of random errors of the matrix elements of direction cosines and quaternions are characterized by a significantly higher accuracy in comparison to the formulas for solving the formulated problem. The results of testing the mathematical modeling data under random errors, which confirm the increased accuracy of the calculation of the orientation angles, are given.